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Model Name = DEA-Solver Pro5.0/ BCC(BCC-O) Workbook Name ...

Model Name = DEA-Solver Pro5.0/ BCC(BCC-O) Workbook Name ...

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<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-<strong>BCC</strong>-O.xlsxNo. DMU Score RTS RTS of Projected DMU RTS Efficient Projected Total1 ALPUJARRA 1 Increasing No. of IRS 2 12 142 ALVARADO 0,887473642 Decreasing No. of CRS 5 1 63 AMBALEMA 0,981334067 Increasing No. of DRS 1 25 264 ANZOATEGUI 0,679140684 Decreasing Total 8 38 465 ATACO 0,716009006 Increasing6 CAJAMARCA 0,629690804 Increasing7 CARMEN DE APICALA 0,893049274 Decreasing8 CHAPARRAL 0,98273556 Decreasing9 COELLO 0,735707434 Decreasing10 COYAIMA 0,65577934 Increasing11 CUNDAY 0,754373468 Increasing12 DOLORES 1 Constant13 ESPINAL 0,93267438 Decreasing14 FALAN 0,943667348 Decreasing15 FLANDES 0,992386351 Increasing16 FRESNO 0,999861638 Increasing17 GUAMO 1 Decreasing18 GUAYABAL-ARMERO 1 Constant19 HERVEO 0,873277123 Constant20 HONDA 0,946948582 Decreasing21 IBAGUE 1 Constant22 ICONONZO 0,656412419 Decreasing23 LERIDA 0,858603849 Decreasing24 LIBANO 0,917913133 Decreasing25 MARIQUITA 1 Constant26 MELGAR 0,922401649 Decreasing27 MURILLO 0,92553491 Decreasing28 NATAGAIMA 0,572059445 Decreasing29 ORTEGA 0,864566305 Decreasing30 PALOCABILDO0,541083394 Decreasing31 PIEDRAS 0,777816933 Increasing32 PLANADAS 0,55577597 Decreasing33 PRADO 0,612535106 Decreasing34 PURIFICACION0,886026484 Decreasing35 RIOBLANCO 0,922746773 Increasing36 RONCESVALLES 0,695001739 Increasing37 ROVIRA 0,679542519 Increasing38 SALDAÑA 0,795662553 Increasing39 SAN ANTONIO0,913346807 Decreasing40 SAN LUIS 0,925309894 Decreasing41 SANTA ISABEL1 Increasing42 SUAREZ 1 Constant43 VALLE DE SAN 0,670909045 JUANDecreasing44 VENADILLO 0,810787737 Decreasing45 VILLA HERMOSA 0,771669279 Decreasing46 VILLA RICA 0,499542312 Decreasing


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-<strong>BCC</strong>-O.xlsxExcess Excess Shortage ShortageNo. DMU Score Insumo 1 Insumo 2 Producto 1 Producto 2S-(1) S-(2) S+(1) S+(2)1 ALPUJARRA 1 0 0,225270242 0 02 ALVARADO 0,887473642 0 373,5105387 0 03 AMBALEMA 0,981334067 0 0 0 04 ANZOATEGUI 0,679140684 0 741,8871165 0 05 ATACO 0,716009006 0 1847,979249 0 06 CAJAMARCA 0,629690804 0 795,9496796 0 07 CARMEN DE APICALA 0,893049274 0 0 0 08 CHAPARRAL 0,98273556 0 67,62320834 0 09 COELLO 0,735707434 0 1273,594062 0 336,921788410 COYAIMA 0,65577934 0 604,1163019 0 011 CUNDAY 0,754373468 0 0 0 012 DOLORES 1 0 0 0 013 ESPINAL 0,93267438 0 42,6316274 0 014 FALAN 0,943667348 0 220,220987 0 366,08910315 FLANDES 0,992386351 0 0 0 016 FRESNO 0,999861638 0 0 0 017 GUAMO 1 0 0 0 018 GUAYABAL-ARMERO 1 0 0 0 019 HERVEO 0,873277123 1,294973511 0 0 020 HONDA 0,946948582 0 1580,893982 0 021 IBAGUE 1 0 0 0 022 ICONONZO 0,656412419 0 1506,622807 0 023 LERIDA 0,858603849 0 0 0 024 LIBANO 0,917913133 0 97,75092633 0 025 MARIQUITA 1 0 0 0 026 MELGAR 0,922401649 0 21149,39079 0 027 MURILLO 0,92553491 0,680440277 0 0 126,215999128 NATAGAIMA 0,572059445 0 231,4751263 0 029 ORTEGA 0,864566305 0 12131,03835 0 030 PALOCABILDO0,541083394 0 300,8568071 0 339,617948831 PIEDRAS 0,777816933 0 197,8880138 0 032 PLANADAS 0,55577597 0 762,1197257 0 033 PRADO 0,612535106 0 2195,711688 0 20,4714636134 PURIFICACION0,886026484 0 7462,423512 0 035 RIOBLANCO 0,922746773 0 808,2494214 0 036 RONCESVALLES 0,695001739 0 0 0 037 ROVIRA 0,679542519 0 1770,73409 0 038 SALDAÑA 0,795662553 0 6398,998169 0 039 SAN ANTONIO0,913346807 0,322515109 0 0 28,2092797740 SAN LUIS 0,925309894 0 2249,447644 0 487,39437241 SANTA ISABEL1 0 0 0 042 SUAREZ 1 0 0 0 043 VALLE DE SAN 0,670909045 JUAN0,20561091 0 0 173,708102844 VENADILLO 0,810787737 0 0 0 045 VILLA HERMOSA 0,771669279 0,1279546 0 0 046 VILLA RICA 0,499542312 1,01E-02 0 0 0


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-<strong>BCC</strong>-O.xlsxNo. DMU Score VX(0) VX(1) Insumo 1VX(2) Insumo 2 UY(1) Producto 1UY(2) Producto 21 ALPUJARRA 1 -4,415280626 5,415324779 0 0,994581428 5,42E-032 ALVARADO 0,887473642 0,766307987 0,360486041 0 0,996209753 0,0037902473 AMBALEMA 0,981334067 -5,456884476 5,126710535 1,349194918 0,820991631 0,1790083694 ANZOATEGUI 0,679140684 1,001380356 0,471068613 0 0,996234252 3,77E-035 ATACO 0,716009006 -5,223403908 6,620034386 0 0,990766778 9,23E-036 CAJAMARCA 0,629690804 -6,258406805 7,846487801 0 0,975337799 2,47E-027 CARMEN DE APICALA 0,893049274 0,895270792 0,1317746 0,09271365 0,960822475 3,92E-028 CHAPARRAL 0,98273556 0,682922168 0,334645569 0 0,966820098 3,32E-029 COELLO 0,735707434 1,200110817 0,159125143 0 1 010 COYAIMA 0,65577934 -5,830501978 7,355405157 0 0,989255995 1,07E-0211 CUNDAY 0,754373468 -5,803502162 7,08176667 4,73E-02 0,988032567 1,20E-0212 DOLORES 1 0 0,361585169 0,638414831 1 013 ESPINAL 0,93267438 0,715955546 0,356230011 0 0,935425852 6,46E-0214 FALAN 0,943667348 0,935969425 0,12372603 0 1 015 FLANDES 0,992386351 -2,62237016 3,036207584 0,593834637 0,533321501 0,46667849916 FRESNO 0,999861638 -13,83802338 12,80494435 2,033217413 0,161187296 0,83881270417 GUAMO 1 0,661097414 0,338902586 0 0,978708448 2,13E-0218 GUAYABAL-ARMERO 1 0 0,382381628 0,617618372 0,909055749 9,09E-0219 HERVEO 0,873277123 0,363005332 0 0,782106539 0,980451137 1,95E-0220 HONDA 0,946948582 0,710728833 0,345294714 0 0,960241706 3,98E-0221 IBAGUE 1 0 1 0 0,50133584 0,4986641622 ICONONZO 0,656412419 1,031821049 0,491611431 0 0,993400506 6,60E-0323 LERIDA 0,858603849 0,92528756 0,140516338 9,89E-02 0,928779392 7,12E-0224 LIBANO 0,917913133 0,725035811 0,364391896 0 0,962567583 3,74E-0225 MARIQUITA 1 0 0,847064546 0,152935454 0,851766219 0,14823378126 MELGAR 0,922401649 0,724592304 0,359534118 0 0,961572758 3,84E-0227 MURILLO 0,92553491 1,06454919 0 1,59E-02 1 028 NATAGAIMA 0,572059445 1,170493719 0,577576361 0 0,977240163 2,28E-0229 ORTEGA 0,864566305 0,78286576 0,373783526 0 0,989441759 1,06E-0230 PALOCABILDO0,541083394 1,628316632 0,219827315 0 1 031 PIEDRAS 0,777816933 -5,206370598 6,49202016 0 0,99229166 7,71E-0332 PLANADAS 0,55577597 1,223655172 0,575630969 0 0,984106837 1,59E-0233 PRADO 0,612535106 1,438374849 0,194184641 0 1 034 PURIFICACION0,886026484 0,754916235 0,3737182 0 0,980059254 1,99E-0235 RIOBLANCO 0,922746773 -4,513173881 5,596894821 0 0,992352516 7,65E-0336 RONCESVALLES0,695001739 -6,304900648 7,693601901 0,050144068 0,992127611 7,87E-0337 ROVIRA 0,679542519 -5,647632608 7,119210871 0 0,974607702 2,54E-0238 SALDAÑA 0,795662553 -4,952930359 6,209744565 0 0,982610593 1,74E-0239 SAN ANTONIO 0,913346807 1,075883066 0 0,018991293 1 040 SAN LUIS 0,925309894 0,952172992 0,128546026 0 1 041 SANTA ISABEL1 -4,976071015 5,940085755 3,60E-02 0,991635052 8,36E-0342 SUAREZ 1 0 1 0 1 043 VALLE DE SAN 0,670909045 JUAN 1,466112492 0 2,44E-02 1 044 VENADILLO 0,810787737 0,966104155 0,146464047 0,12080023 0,959617351 4,04E-0245 VILLA HERMOSA0,771669279 1,181735003 0 0,114156939 0,982300825 1,77E-0246 VILLA RICA 0,499542312 1,837294051 0 0,16453838 0,989009216 1,10E-02


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-<strong>BCC</strong>-O.xlsxNo. DMU Score V(0) V(1) Insumo 1 V(2) Insumo 2 U(1) Producto 1U(2) Producto 21 ALPUJARRA 1 -4,415324779 0,361021652 0 1,21E-02 02 ALVARADO 0,887473642 0,766307987 2,31E-02 0 1,15E-02 03 AMBALEMA 0,981334067 -5,456939045 0,330755518 8,46E-04 1,03E-02 1,05E-044 ANZOATEGUI 0,679140684 1,001380356 3,02E-02 0 1,51E-02 05 ATACO 0,716009006 -5,223456142 0,427098993 0 1,43E-02 06 CAJAMARCA 0,629690804 -6,25846939 0,511727465 0 1,71E-02 1,17E-057 CARMEN DE APICALA 0,893049274 0,895270792 8,37E-03 4,79E-05 1,13E-02 1,63E-058 CHAPARRAL 0,98273556 0,682922168 2,06E-02 0 0,010266753 09 COELLO 0,735707434 1,200110817 1,01E-02 0 1,39E-02 010 COYAIMA 0,65577934 -5,830560283 0,476739223 0 1,60E-02 1,09E-0511 CUNDAY 0,754373468 -5,803560198 0,461854348 2,54E-05 1,43E-02 1,57E-0512 DOLORES 1 0 2,18E-02 6,92E-04 1,51E-02 013 ESPINAL 0,93267438 0,715955546 0,021589698 0 1,08E-02 014 FALAN 0,943667348 0,935969425 7,90E-03 0 1,09E-02 015 FLANDES 0,992386351 -2,622396384 0,187630806 1,99E-04 6,05E-03 4,85E-0516 FRESNO 0,999861638 -13,83816177 0,823174994 1,13E-03 2,58E-03 2,62E-0417 GUAMO 1 0,661097414 1,99E-02 0 9,94E-03 018 GUAYABAL-ARMERO 1 0 2,34E-02 3,92E-04 1,02E-02 3,13E-0519 HERVEO 0,873277123 0,363005332 0 4,96E-04 1,19E-02 2,61E-0520 HONDA 0,946948582 0,710728833 2,14E-02 0 1,07E-02 021 IBAGUE 1 0 0,062015504 0 9,85E-03 022 ICONONZO 0,656412419 1,031821049 0,031114648 0 1,55E-02 023 LERIDA 0,858603849 0,92528756 0,008647159 4,95E-05 0,011633858 1,68E-0524 LIBANO 0,917913133 0,725035811 0,021863514 0 1,09E-02 025 MARIQUITA 1 0 5,11E-02 8,17E-05 9,40E-03 2,32E-0526 MELGAR 0,922401649 0,724592304 2,19E-02 0 0,010893203 027 MURILLO 0,92553491 1,06454919 0 0 1,11E-02 028 NATAGAIMA 0,572059445 1,170493719 3,53E-02 0 1,76E-02 029 ORTEGA 0,864566305 0,78286576 2,36E-02 0 1,18E-02 030 PALOCABILDO0,541083394 1,628316632 1,37E-02 0 1,89E-02 031 PIEDRAS 0,777816933 -5,206422662 0,42570624 0 1,42E-02 032 PLANADAS 0,55577597 1,223655172 3,69E-02 0 1,84E-02 033 PRADO 0,612535106 1,438374849 1,21E-02 0 1,67E-02 034 PURIFICACION0,886026484 0,754916235 2,28E-02 0 1,13E-02 035 RIOBLANCO 0,922746773 -4,513219013 0,369026032 0 0,012352167 036 RONCESVALLES 0,695001739 -6,304963697 0,501756646 2,76E-05 1,55E-02 1,70E-0537 ROVIRA 0,679542519 -5,647689085 0,461786651 0 1,55E-02 1,06E-0538 SALDAÑA 0,795662553 -4,952979889 0,404983341 0 0,013555743 039 SAN ANTONIO0,913346807 1,075883066 0 0 1,12E-02 040 SAN LUIS 0,925309894 0,952172992 8,03E-03 0 0,011056138 041 SANTA ISABEL1 -4,976120777 0,396005717 2,18E-05 0,012236365 1,34E-0542 SUAREZ 1 0 6,45E-02 0 1,03E-02 043 VALLE DE SAN 0,670909045 JUAN 1,466112492 0 1,29E-05 0,015271839 044 VENADILLO 0,810787737 0,966104155 9,03E-03 5,17E-05 1,21E-02 1,75E-0545 VILLA HERMOSA 0,771669279 1,181735003 0 6,28E-05 1,31E-02 1,75E-0546 VILLA RICA 0,499542312 1,83729405 0 9,76E-05 2,04E-02 2,71E-05


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-<strong>BCC</strong>-O.xlsxNo. DMU 1/ScoreI/O Data Projection Difference %1 ALPUJARRA 1Insumo 1 15 15 0 0,00%Insumo 2 2384,558651 2384,333381 -0,225270242 -0,01%Producto 1 82,304 82,304 0 0,00%Producto 2 654 654 0 0,00%2 ALVARADO 1,126794028Insumo 1 15,6 15,6 0 0,00%Insumo 2 2105,133406 1731,622867 -373,5105387 -17,74%Producto 1 86,474 97,43838677 10,96438677 12,68%Producto 2 655 738,0500883 83,05008832 12,68%3 AMBALEMA 1,019020978Insumo 1 15,5 15,5 0 0,00%Insumo 2 1595,243554 1595,243554 0 0,00%Producto 1 79,33 80,83893416 1,508934155 1,90%Producto 2 1710 1742,525872 32,52587175 1,90%4 ANZOATEGUI 1,472448969Insumo 1 15,6 15,6 0 0,00%Insumo 2 2472,455015 1730,567899 -741,8871165 -30,01%Producto 1 66,176 97,44078298 31,26478298 47,24%Producto 2 498 733,2795867 235,2795867 47,24%5 ATACO 1,396630478Insumo 1 15,5 15,5 0 0,00%Insumo 2 3687,155758 1839,176509 -1847,979249 -50,12%Producto 1 69,30375 96,7917295 27,4879795 39,66%Producto 2 942 1315,62591 373,6259104 39,66%6 CAJAMARCA 1,588080996Insumo 1 15,33333333 15,33333333 0 0,00%Insumo 2 3337,142164 2541,192484 -795,9496796 -23,85%Producto 1 56,94166667 90,42797872 33,48631206 58,81%Producto 2 2100 3334,970092 1234,970092 58,81%7 CARMEN DE APICALA 1,119759042Insumo 1 15,75 15,75 0 0,00%Insumo 2 1933,861001 1933,861001 0 0,00%Producto 1 85,3575 95,57983245 10,22233245 11,98%Producto 2 2410 2698,619292 288,6192919 11,98%8 CHAPARRAL 1,017567737Insumo 1 16,25 16,25 0 0,00%Insumo 2 3276,555766 3208,932557 -67,62320834 -2,06%Producto 1 94,17 95,82435377 1,654353769 1,76%Producto 2 6434 6547,030818 113,0308182 1,76%9 COELLO 1,35923596Insumo 1 15,71428571 15,71428571 0 0,00%Insumo 2 3094,971275 1821,377213 -1273,594062 -41,15%Producto 1 71,76142857 97,54071429 25,77928572 35,92%Producto 2 481 990,7142853 509,7142853 105,97%10 COYAIMA 1,52490318Insumo 1 15,42857143 15,42857143 0 0,00%Insumo 2 2585,363569 1981,247267 -604,1163019 -23,37%Producto 1 61,99285714 94,53310497 32,54024783 52,49%Producto 2 982 1497,454922 515,4549224 52,49%11 CUNDAY 1,325603354Insumo 1 15,33333333 15,33333333 0 0,00%Insumo 2 1863,742397 1863,742397 0 0,00%Producto 1 69,23333333 91,77593888 22,54260555 32,56%Producto 2 763 1011,435359 248,4353591 32,56%


12 DOLORES 1Insumo 1 16,57142857 16,57142857 0 0,00%Insumo 2 922,559944 922,559944 0 0,00%Producto 1 66,19714286 66,19714286 0 0,00%Producto 2 1140 1140 0 0,00%13 ESPINAL 1,072185558Insumo 1 16,5 16,5 0 0,00%Insumo 2 4709,849966 4667,218339 -42,6316274 -0,91%Producto 1 86,90833333 93,18185986 6,273526525 7,22%Producto 2 11944 12806,1843 862,1843031 7,22%14 FALAN 1,059695455Insumo 1 15,66666667 15,66666667 0 0,00%Insumo 2 2000,663777 1780,44279 -220,220987 -11,01%Producto 1 92,01333333 97,50611111 5,492777779 5,97%Producto 2 475 869,4444441 394,4444441 83,04%15 FLANDES 1,007672061Insumo 1 16,18181818 16,18181818 0 0,00%Insumo 2 2989,771848 2989,771848 0 0,00%Producto 1 88,10818182 88,78415316 0,675971341 0,77%Producto 2 9621 9694,812898 73,81289839 0,77%16 FRESNO 1,000138382Insumo 1 15,55555556 15,55555556 0 0,00%Insumo 2 1806,308787 1806,308787 0 0,00%Producto 1 62,50444444 62,51309391 8,65E-03 0,01%Producto 2 3202 3202,443098 0,44309794 0,01%17 GUAMO 1Insumo 1 17 17 0 0,00%Insumo 2 2926,60663 2926,60663 0 0,00%Producto 1 98,475 98,475 0 0,00%Producto 2 4265 4265 0 0,00%18 GUAYABAL-ARMERO 1Insumo 1 16,375 16,375 0 0,00%Insumo 2 1576,827902 1576,827902 0 0,00%Producto 1 89,48625 89,48625 0 0,00%Producto 2 2910 2910 0 0,00%19 HERVEO 1,145111871Insumo 1 17 15,70502649 -1,294973511 -7,62%Insumo 2 1577,241912 1577,241912 0 0,00%Producto 1 82,085 93,99650794 11,91150794 14,51%Producto 2 748 856,5436796 108,5436796 14,51%20 HONDA 1,056023546Insumo 1 16,11111111 16,11111111 0 0,00%Insumo 2 5030,832056 3449,938074 -1580,893982 -31,42%Producto 1 89,87 94,9048361 5,034836104 5,60%Producto 2 7408 7823,022431 415,0224308 5,60%21 IBAGUE 1Insumo 1 16,125 16,125 0 0,00%Insumo 2 22833,79671 22833,79671 0 0,00%Producto 1 50,914375 50,914375 0 0,00%Producto 2 95457 95457 0 0,00%22 ICONONZO 1,52343248Insumo 1 15,8 15,8 0 0,00%Insumo 2 3419,671463 1913,048656 -1506,622807 -44,06%Producto 1 64,041 97,56213946 33,52113946 52,34%Producto 2 847 1290,347311 443,3473106 52,34%23 LERIDA 1,164681478Insumo 1 16,25 16,25 0 0,00%Insumo 2 1995,524641 1995,524641 0 0,00%Producto 1 79,83416667 92,98137521 13,14720855 16,47%Producto 2 4239 4937,084784 698,0847845 16,47%


24 LIBANO 1,089427707Insumo 1 16,66666667 16,66666667 0 0,00%Insumo 2 3629,537502 3531,786576 -97,75092633 -2,69%Producto 1 88,31 96,20736085 7,897360847 8,94%Producto 2 6837 7448,417236 611,417236 8,94%25 MARIQUITA 1Insumo 1 16,57142857 16,57142857 0 0,00%Insumo 2 1871,987147 1871,987147 0 0,00%Producto 1 90,58142857 90,58142857 0 0,00%Producto 2 6400 6400 0 0,00%26 MELGAR 1,084126423Insumo 1 16,45454545 16,45454545 0 0,00%Insumo 2 24654,87346 3505,482668 -21149,39079 -85,78%Producto 1 88,27272727 95,69879604 7,42606877 8,41%Producto 2 7023 7613,819867 590,8198668 8,41%27 MURILLO 1,080456273Insumo 1 16,25 15,56955972 -0,680440277 -4,19%Insumo 2 1696,96744 1696,96744 0 0,00%Producto 1 90,18 97,43554673 7,255546733 8,05%Producto 2 459 622,1454285 163,1454285 35,54%28 NATAGAIMA 1,74807008Insumo 1 16,36363636 16,36363636 0 0,00%Insumo 2 3021,688603 2790,213476 -231,4751263 -7,66%Producto 1 55,53545455 97,07986647 41,54441192 74,81%Producto 2 2575 4501,280456 1926,280456 74,81%29 ORTEGA 1,156649286Insumo 1 15,83333333 15,83333333 0 0,00%Insumo 2 14225,44986 2094,411506 -12131,03835 -85,28%Producto 1 84,07 97,23950551 13,16950551 15,66%Producto 2 1786 2065,775626 279,7756256 15,66%30 PALOCABILDO1,848143947Insumo 1 16 16 0 0,00%Insumo 2 2367,840557 2066,98375 -300,8568071 -12,71%Producto 1 52,89 97,74833333 44,85833333 84,81%Producto 2 746 1718,333333 972,3333329 130,34%31 PIEDRAS 1,285649562Insumo 1 15,25 15,25 0 0,00%Insumo 2 2316,507103 2118,619089 -197,8880138 -8,54%Producto 1 69,6375 89,5294214 19,8919214 28,56%Producto 2 789 1014,377505 225,3775047 28,56%32 PLANADAS 1,799286141Insumo 1 15,6 15,6 0 0,00%Insumo 2 3014,91789 2252,798164 -762,1197257 -25,28%Producto 1 53,496 96,25461138 42,75861138 79,93%Producto 2 1720 3094,772162 1374,772162 79,93%33 PRADO 1,63255949Insumo 1 16 16 0 0,00%Insumo 2 4262,695438 2066,98375 -2195,711688 -51,51%Producto 1 59,87428571 97,74833333 37,87404762 63,26%Producto 2 1040 1718,333333 678,3333329 65,22%34 PURIFICACION1,128634435Insumo 1 16,41666667 16,41666667 0 0,00%Insumo 2 10145,99456 2683,571047 -7462,423512 -73,55%Producto 1 86,35583333 97,46416714 11,10833381 12,86%Producto 2 3498 3947,963253 449,9632526 12,86%35 RIOBLANCO 1,083720939Insumo 1 15,16666667 15,16666667 0 0,00%Insumo 2 3035,030834 2226,781412 -808,2494214 -26,63%Producto 1 80,33833333 87,06433407 6,726000732 8,37%Producto 2 903 978,6000082 75,60000823 8,37%


36 RONCESVALLES 1,438845321Insumo 1 15,33333333 15,33333333 0 0,00%Insumo 2 1817,187282 1817,187282 0 0,00%Producto 1 63,99166667 92,07411019 28,08244353 43,88%Producto 2 462 664,7465385 202,7465385 43,88%37 ROVIRA 1,471578263Insumo 1 15,41666667 15,41666667 0 0,00%Insumo 2 4239,804686 2469,070596 -1770,73409 -41,76%Producto 1 63,0525 92,7866884 29,7341884 47,16%Producto 2 2396 3525,901517 1129,901517 47,16%38 SALDAÑA 1,256814206Insumo 1 15,33333333 15,33333333 0 0,00%Insumo 2 8711,741954 2312,743785 -6398,998169 -73,45%Producto 1 72,48666667 91,10227241 18,61560574 25,68%Producto 2 1871 2351,499379 480,4993794 25,68%39 SAN ANTONIO1,094874359Insumo 1 16,25 15,92748489 -0,322515109 -1,98%Insumo 2 2004,648104 2004,648104 0 0,00%Producto 1 89,23 97,69563902 8,465639022 9,49%Producto 2 1375 1533,661523 158,6615229 11,54%40 SAN LUIS 1,080719017Insumo 1 16 16 0 0,00%Insumo 2 4316,431394 2066,98375 -2249,447644 -52,11%Producto 1 90,4475 97,74833333 7,300833334 8,07%Producto 2 1139 1718,333333 579,3333329 50,86%41 SANTA ISABEL1Insumo 1 15 15 0 0,00%Insumo 2 1654,613602 1654,613602 0 0,00%Producto 1 81,04 81,04 0 0,00%Producto 2 622 622 0 0,00%42 SUAREZ 1Insumo 1 15,5 15,5 0 0,00%Insumo 2 1637,17231 1637,17231 0 0,00%Producto 1 97,385 97,385 0 0,00%Producto 2 445 445 0 0,00%43 VALLE DE SAN 1,490515008JUANInsumo 1 16 15,79438909 -0,20561091 -1,29%Insumo 2 1890,235908 1890,235908 0 0,00%Producto 1 65,48 97,59892274 32,11892274 49,05%Producto 2 685 1194,710883 509,7108834 74,41%44 VENADILLO 1,233368431Insumo 1 16,22222222 16,22222222 0 0,00%Insumo 2 2334,961918 2334,961918 0 0,00%Producto 1 79 97,43610608 18,43610608 23,34%Producto 2 2302 2839,214129 537,2141292 23,34%45 VILLA HERMOSA 1,295891942Insumo 1 15,88888889 15,76093429 -0,1279546 -0,81%Insumo 2 1817,97889 1817,97889 0 0,00%Producto 1 74,92444444 97,09398382 22,16953938 29,59%Producto 2 1014 1314,034429 300,0344293 29,59%46 VILLA RICA 2,00183243Insumo 1 15,6 15,58990837 -1,01E-02 -0,06%Insumo 2 1685,369649 1685,369649 0 0,00%Producto 1 48,52 97,12890952 48,60890952 100,18%Producto 2 405 810,7421343 405,7421343 100,18%


MunicipioDMUPALOCABILDONATAGAIMACAJAMARCAICONONZOANZOATEGUIRONCESVALLESCOELLOVILLA HERMOSASALDAÑALERIDAHERVEOALVARADOSAN ANTONIOMELGARSAN LUISESPINALHONDACHAPARRALFRESNOGUAMOIBAGUESANTA ISABELSUAREZ0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


MunicipioDMUVILLA HERMOSAVALLE DE SAN JUANSANTA ISABELSAN ANTONIOROVIRARIOBLANCOPRADOPIEDRASORTEGAMURILLOMARIQUITALERIDAIBAGUEHERVEOGUAMOFLANDESESPINALCUNDAYCOELLOCARMEN DE APICALAATACOAMBALEMAALPUJARRA0,0000000 0,1000000 0,2000000 0,3000000 0,4000000 0,5000000 0,6000000 0,7000000 0,8000000 0,9000000 1,0000000Efficiency


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-<strong>BCC</strong>-O.xlsxRank DMU Score1 SUAREZ 11 ALPUJARRA 11 SANTA ISABEL11 MARIQUITA 11 IBAGUE 11 GUAYABAL-ARMERO 11 GUAMO 11 DOLORES 19 FRESNO 0,99986163810 FLANDES 0,99238635111 CHAPARRAL 0,9827355612 AMBALEMA 0,98133406713 HONDA 0,94694858214 FALAN 0,94366734815 ESPINAL 0,9326743816 MURILLO 0,9255349117 SAN LUIS 0,92530989418 RIOBLANCO 0,92274677319 MELGAR 0,92240164920 LIBANO 0,91791313321 SAN ANTONIO0,91334680722 CARMEN DE APICALA 0,89304927423 ALVARADO 0,88747364224 PURIFICACION0,88602648425 HERVEO 0,87327712326 ORTEGA 0,86456630527 LERIDA 0,85860384928 VENADILLO 0,81078773729 SALDAÑA 0,79566255330 PIEDRAS 0,77781693331 VILLA HERMOSA 0,77166927932 CUNDAY 0,75437346833 COELLO 0,73570743434 ATACO 0,71600900635 RONCESVALLES 0,69500173936 ROVIRA 0,67954251937 ANZOATEGUI 0,67914068438 VALLE DE SAN 0,670909045JUAN39 ICONONZO 0,65641241940 COYAIMA 0,6557793441 CAJAMARCA 0,62969080442 PRADO 0,61253510643 NATAGAIMA 0,57205944544 PLANADAS 0,5557759745 PALOCABILDO0,54108339446 VILLA RICA 0,499542312


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-<strong>BCC</strong>-O.xlsxNo. DMU Score Rank 1/Score Reference set (lambda)1 ALPUJARRA 1,0000000 1 1,0000000 ALPUJARRA 12 ALVARADO 0,8874736 23 1,1267940 GUAMO 6,65E-02 IBAGUE 4,11E-04 SUAREZ 0,933093663 AMBALEMA 0,9813341 12 1,0190210 DOLORES 0,135008365 MARIQUITA 0,181953844 SANTA ISABEL 0,678894733 SUAREZ 4,13E-034 ANZOATEGUI 0,6791407 37 1,4724490 GUAMO 6,65E-02 IBAGUE 3,60E-04 SUAREZ 0,9331234485 ATACO 0,7160090 34 1,3966305 ALPUJARRA 1,11E-02 IBAGUE 9,14E-03 SUAREZ 0,9797374176 CAJAMARCA 0,6296908 41 1,5880810 ALPUJARRA 0,370027066 IBAGUE 2,96E-02 SUAREZ 0,6003599497 CARMEN DE APICALA 0,8930493 22 1,1197590 GUAMO 0,021549104 IBAGUE 1,05E-02 MARIQUITA 0,197037645 SUAREZ 0,770909928 CHAPARRAL 0,9827356 11 1,0175677 GUAMO 0,481303005 IBAGUE 0,044872788 SUAREZ 0,4738242079 COELLO 0,7357074 33 1,3592360 GUAMO 0,142857143 SUAREZ 0,85714285710 COYAIMA 0,6557793 40 1,5249032 ALPUJARRA 0,155964695 IBAGUE 1,07E-02 SUAREZ 0,83329126411 CUNDAY 0,7543735 32 1,3256034 ALPUJARRA 0,149008809 IBAGUE 5,28E-03 SANTA ISABEL 0,190613144 SUAREZ 0,65508915112 DOLORES 1,0000000 1 1,0000000 DOLORES 113 ESPINAL 0,9326744 15 1,0721856 GUAMO 0,622892659 IBAGUE 0,105057617 SUAREZ 0,27204972314 FALAN 0,9436673 14 1,0596955 GUAMO 0,111111111 SUAREZ 0,88888888915 FLANDES 0,9923864 10 1,0076721 IBAGUE 5,66E-02 MARIQUITA 0,648121276 SANTA ISABEL 9,56E-02 SUAREZ 0,1997365916 FRESNO 0,9998616 9 1,0001384 FRESNO 117 GUAMO 1,0000000 1 1,0000000 GUAMO 118 GUAYABAL-ARMERO 1,0000000 1 1,0000000 GUAYABAL-ARMERO 119 HERVEO 0,8732771 25 1,1451119 DOLORES 7,15E-02 GUAYABAL-ARMERO 0,146804777 SUAREZ 0,78172773520 HONDA 0,9469486 13 1,0560235 GUAMO 0,381441762 IBAGUE 6,23E-02 SUAREZ 0,5562406921 IBAGUE 1,0000000 1 1,0000000 IBAGUE 122 ICONONZO 0,6564124 39 1,5234325 GUAMO 0,19963718 IBAGUE 8,71E-04 SUAREZ 0,79949205323 LERIDA 0,8586038 27 1,1646815 GUAMO 0,059771598 IBAGUE 6,48E-03 MARIQUITA 0,61253718 SUAREZ 0,32120679524 LIBANO 0,9179131 20 1,0894277 GUAMO 0,759793175 IBAGUE 0,043163046 SUAREZ 0,19704377925 MARIQUITA 1,0000000 1 1,0000000 MARIQUITA 126 MELGAR 0,9224016 19 1,0841264 GUAMO 0,615231947 IBAGUE 0,050716055 SUAREZ 0,33405199827 MURILLO 0,9255349 16 1,0804563 GUAMO 4,64E-02 SUAREZ 0,95362685128 NATAGAIMA 0,5720594 43 1,7480701 GUAMO 0,567475624 IBAGUE 1,99E-02 SUAREZ 0,41264769229 ORTEGA 0,8645663 26 1,1566493 GUAMO 0,218779508 IBAGUE 8,26E-03 SUAREZ 0,77295797930 PALOCABILDO 0,5410834 45 1,8481439 GUAMO 0,333333333 SUAREZ 0,66666666731 PIEDRAS 0,7778169 30 1,2856496 ALPUJARRA 0,505790174 IBAGUE 4,88E-03 SUAREZ 0,48931968632 PLANADAS 0,5557760 44 1,7992861 GUAMO 5,60E-02 IBAGUE 0,025637946 SUAREZ 0,91837786533 PRADO 0,6125351 42 1,6325595 GUAMO 0,333333333 SUAREZ 0,66666666734 PURIFICACION 0,8860265 24 1,1286344 GUAMO 0,605899367 IBAGUE 1,25E-02 SUAREZ 0,38159244835 RIOBLANCO 0,9227468 18 1,0837209 ALPUJARRA 0,671530416 IBAGUE 4,14E-03 SUAREZ 0,32432058536 RONCESVALLES0,6950017 35 1,4388453 ALPUJARRA 0,191466158 IBAGUE 1,62E-03 SANTA ISABEL 0,14358744 SUAREZ 0,66331219137 ROVIRA 0,6795425 36 1,4715783 ALPUJARRA 0,206322468 IBAGUE 0,031972641 SUAREZ 0,76169489138 SALDAÑA 0,7956626 29 1,2568142 ALPUJARRA 0,357123775 IBAGUE 1,93E-02 SUAREZ 0,62358587139 SAN ANTONIO 0,9133468 21 1,0948744 GUAMO 0,284989927 SUAREZ 0,71501007340 SAN LUIS 0,9253099 17 1,0807190 GUAMO 0,333333333 SUAREZ 0,66666666741 SANTA ISABEL 1,0000000 1 1,0000000 SANTA ISABEL 142 SUAREZ 1,0000000 1 1,0000000 SUAREZ 143 VALLE DE SAN JUAN 0,6709090 38 1,4905150 GUAMO 0,196259394 SUAREZ 0,80374060644 VENADILLO 0,8107877 28 1,2333684 GUAMO 0,456117998 IBAGUE 4,81E-03 MARIQUITA 3,27E-02 SUAREZ 0,50636855345 VILLA HERMOSA0,7716693 31 1,2958919 GUAMO 0,128677961 MARIQUITA 6,34E-02 SUAREZ 0,80793251546 VILLA RICA 0,4995423 46 2,0018324 GUAMO 2,97E-02 MARIQUITA 4,24E-02 SUAREZ 0,927949022


<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-<strong>BCC</strong>-O.xlsxData File = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-<strong>BCC</strong>-O.xlsxDatos<strong>DEA</strong> model = <strong>DEA</strong>-<strong>Solver</strong> LV3.0/ <strong>BCC</strong>(<strong>BCC</strong>-O)Problem = MunicipioNo. of DMUs = 46No. of Input items = 2Input(1) = Insumo 1Input(2) = Insumo 2No. of Output items = 2Output(1) = Producto 1Output(2) = Producto 2Returns to Scale = Variable (Sum of Lambda = 1)Statistics on Input/Output DataInsumo 1 Insumo 2 Producto 1 Producto 2Max 17 24654,87346 98,475 95457Min 15 922,559944 48,52 405Average 15,89703244 4053,901615 76,05611095 4486,456522SD 0,499950389 4815,297857 13,65712978 13813,7822CorrelationInsumo 1 Insumo 2 Producto 1 Producto 2Insumo 1 1 0,161747774 0,352485721 0,164055485Insumo 2 0,161747774 1 -0,030036115 0,618518419Producto 1 0,352485721 -0,030036115 1 -0,194482311Producto 2 0,164055485 0,618518419 -0,194482311 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 46Average 0,834333847SD 0,150345503Maximum 1Minimum 0,499542312Frequency in Reference SetReference Frequency to other DMUsALPUJARRA 9DOLORES 2FRESNO 0GUAMO 25GUAYABAL-ARMERO 1IBAGUE 25MARIQUITA 7SANTA ISABEL 4SUAREZ 37No. of DMUs in Data = 46No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 46Average of scores = 0,834333847No. of efficient DMUs = 8No. of inefficient DMUs = 38No. of over iteration DMUs = 0[<strong>BCC</strong>-O] LP started at 07-17-2008 12:09:52 and completed at 07-17-2008 12:09:53Elapsed time = 0 secondsTotal number of simplex iterations = 354


Municipio (I) I 1 (I) I 2 (O) P 1 (O) P 2ALPUJARRA 15,00 2384,559 82,30 654ALVARADO 15,60 2105,133 86,47 655AMBALEMA 15,50 1595,244 79,33 1710ANZOATEGUI 15,60 2472,455 66,18 498ATACO 15,50 3687,156 69,30 942CAJAMARCA 15,33 3337,142 56,94 2100CARMEN DE APICALA 15,75 1933,861 85,36 2410CHAPARRAL 16,25 3276,556 94,17 6434COELLO 15,71 3094,971 71,76 481COYAIMA 15,43 2585,364 61,99 982CUNDAY 15,33 1863,742 69,23 763DOLORES 16,57 922,560 66,20 1140ESPINAL 16,50 4709,850 86,91 11944FALAN 15,67 2000,664 92,01 475FLANDES 16,18 2989,772 88,11 9621FRESNO 15,56 1806,309 62,50 3202GUAMO 17,00 2926,607 98,48 4265GUAYABAL-ARMERO 16,38 1576,828 89,49 2910HERVEO 17,00 1577,242 82,09 748HONDA 16,11 5030,832 89,87 7408IBAGUE 16,13 22833,797 50,91 95457ICONONZO 15,80 3419,671 64,04 847LERIDA 16,25 1995,525 79,83 4239LIBANO 16,67 3629,538 88,31 6837MARIQUITA 16,57 1871,987 90,58 6400MELGAR 16,45 24654,873 88,27 7023MURILLO 16,25 1696,967 90,18 459NATAGAIMA 16,36 3021,689 55,54 2575ORTEGA 15,83 14225,450 84,07 1786PALOCABILDO 16,00 2367,841 52,89 746PIEDRAS 15,25 2316,507 69,64 789PLANADAS 15,60 3014,918 53,50 1720PRADO 16,00 4262,695 59,87 1040PURIFICACION 16,42 10145,995 86,36 3498RIOBLANCO 15,17 3035,031 80,34 903RONCESVALLES 15,33 1817,187 63,99 462ROVIRA 15,42 4239,805 63,05 2396SALDAÑA 15,33 8711,742 72,49 1871SAN ANTONIO 16,25 2004,648 89,23 1375SAN LUIS 16,00 4316,431 90,45 1139SANTA ISABEL 15,00 1654,614 81,04 622SUAREZ 15,50 1637,172 97,39 445VALLE DE SAN JUAN 16,00 1890,236 65,48 685VENADILLO 16,22 2334,962 79,00 2302VILLA HERMOSA 15,89 1817,979 74,92 1014VILLA RICA 15,60 1685,370 48,52 405186479,474 2063771,113000025000200001500010000500012010080604020015 15 16 16 17 17 181200001000008000060000400002000012010080604020012000010000080000600004000020000015 15 16 16 17 17 18015 15 16 16 17 17 180 5000 10000 15000 20000 25000 3000000 5000 10000 15000 20000 25000 300001200001000008000060000400002000000 20 40 60 80 100 120


1 ALPUJARRA ALPUJARRA 1 1,00002 ALVARADO GUAMO 17 0,0665 IBAGUE 21 0,0004 SUAREZ 42 0,93313 AMBALEMA DOLORES 12 0,1350 MARIQUITA 25 0,1819 SANTA ISABEL 41 0,6792 SUAREZ 42 0,00394 ANZOATEGUI GUAMO 17 0,0665 IBAGUE 21 0,0004 SUAREZ 42 0,93315 ATACO ALPUJARRA 1 0,0114 IBAGUE 21 0,0091 SUAREZ 42 0,97946 CAJAMARCA ALPUJARRA 1 0,3703 IBAGUE 21 0,0296 SUAREZ 42 0,60017 CARMEN DE APICALA GUAMO 17 0,0215 IBAGUE 21 0,0105 MARIQUITA 25 0,1970 SUAREZ 42 0,77098 CHAPARRAL GUAMO 17 0,4813 IBAGUE 21 0,0449 SUAREZ 42 0,47389 COELLO GUAMO 17 0,1429 SUAREZ 42 0,857110 COYAIMA ALPUJARRA 1 0,1563 IBAGUE 21 0,0107 SUAREZ 42 0,833011 CUNDAY ALPUJARRA 1 0,1490 IBAGUE 21 0,0053 SANTA ISABEL 41 0,1909 SUAREZ 42 0,654812 DOLORES DOLORES 12 1,000013 ESPINAL GUAMO 17 0,6229 IBAGUE 21 0,1051 SUAREZ 42 0,272014 FALAN GUAMO 17 0,1111 SUAREZ 42 0,888915 FLANDES IBAGUE 21 0,0566 MARIQUITA 25 0,6481 SANTA ISABEL 41 0,0958 SUAREZ 42 0,199616 FRESNO FRESNO 16 1,000017 GUAMO GUAMO 17 1,000018 GUAYABAL-ARMERO GUAYABAL-ARMERO 18 1,000019 HERVEO DOLORES 12 0,0715 GUAYABAL-ARMERO 18 0,1468 SUAREZ 42 0,781720 HONDA GUAMO 17 0,3814 IBAGUE 21 0,0623 SUAREZ 42 0,556221 IBAGUE IBAGUE 21 1,000022 ICONONZO GUAMO 17 0,1996 IBAGUE 21 0,0009 SUAREZ 42 0,799523 LERIDA GUAMO 17 0,0598 IBAGUE 21 0,0065 MARIQUITA 25 0,6125 SUAREZ 42 0,321224 LIBANO GUAMO 17 0,7598 IBAGUE 21 0,0432 SUAREZ 42 0,197025 MARIQUITA MARIQUITA 25 1,000026 MELGAR GUAMO 17 0,6152 IBAGUE 21 0,0507 SUAREZ 42 0,334127 MURILLO GUAMO 17 0,0464 SUAREZ 42 0,953628 NATAGAIMA GUAMO 17 0,5675 IBAGUE 21 0,0199 SUAREZ 42 0,412629 ORTEGA GUAMO 17 0,2188 IBAGUE 21 0,0083 SUAREZ 42 0,773030 PALOCABILDO GUAMO 17 0,3333 SUAREZ 42 0,666731 PIEDRAS ALPUJARRA 1 0,5061 IBAGUE 21 0,0049 SUAREZ 42 0,489032 PLANADAS GUAMO 17 0,0560 IBAGUE 21 0,0256 SUAREZ 42 0,918433 PRADO GUAMO 17 0,3333 SUAREZ 42 0,6667 0,000034 PURIFICACION GUAMO 17 0,6059 IBAGUE 21 0,0125 SUAREZ 42 0,381635 RIOBLANCO ALPUJARRA 1 0,6718 IBAGUE 21 0,0041 SUAREZ 42 0,324036 RONCESVALLES ALPUJARRA 1 0,1915 IBAGUE 21 0,0016 SANTA ISABEL 41 0,1439 SUAREZ 42 0,663037 ROVIRA ALPUJARRA 1 0,2066 IBAGUE 21 0,0320 SUAREZ 42 0,761438 SALDAÑA ALPUJARRA 1 0,3574 IBAGUE 21 0,0193 SUAREZ 42 0,623339 SAN ANTONIO GUAMO 17 0,2850 SUAREZ 42 0,715040 SAN LUIS GUAMO 17 0,3333 SUAREZ 42 0,666741 SANTA ISABEL SANTA ISABEL 41 1,0000 0,000042 SUAREZ SUAREZ 42 1,0000 0,000043 VALLE DE SAN JUAN GUAMO 17 0,1963 SUAREZ 42 0,803744 VENADILLO GUAMO 17 0,4561 IBAGUE 21 0,0048 MARIQUITA 25 0,0327 SUAREZ 42 0,506445 VILLA HERMOSA GUAMO 17 0,1287 MARIQUITA 25 0,0634 SUAREZ 42 0,807946 VILLA RICA GUAMO 17 0,0297 MARIQUITA 25 0,0424 SUAREZ 42 0,9279


ALPUJARRA 100,00 0,00 100,00 0,00ALVARADO 100,00 0,00 99,60 0,40AMBALEMA 79,20 20,80 82,10 17,90ANZOATEGUI 100,00 0,00 99,60 0,40ATACO 100,00 0,00 99,10 0,90CAJAMARCA 100,00 0,00 97,50 2,50CARMEN DE APICALA 58,70 41,30 96,10 3,90CHAPARRAL 100,00 0,00 96,70 3,30COELLO 100,00 0,00 100,00 0,00COYAIMA 100,00 0,00 98,90 1,10CUNDAY 99,30 0,70 98,80 1,20DOLORES 0,00 100,00 100,00 0,00ESPINAL 100,00 0,00 93,50 6,50FALAN 100,00 0,00 100,00 0,00FLANDES 83,60 16,40 53,30 46,70FRESNO 85,10 14,90 0,00 100,00GUAMO 89,40 10,60 100,00 0,00GUAYABAL-ARMERO 0,00 100,00 93,40 6,60HERVEO 0,00 100,00 98,00 2,00HONDA 100,00 0,00 96,00 4,00IBAGUE 100,00 0,00 51,50 48,50ICONONZO 100,00 0,00 99,30 0,70LERIDA 58,70 41,30 92,90 7,10LIBANO 100,00 0,00 96,30 3,70MARIQUITA 0,00 100,00 90,40 9,60MELGAR 100,00 0,00 96,20 3,80MURILLO 0,00 100,00 100,00 0,00NATAGAIMA 100,00 0,00 97,70 2,30ORTEGA 100,00 0,00 98,90 1,10PALOCABILDO 100,00 0,00 100,00 0,00PIEDRAS 100,00 0,00 99,20 0,80PLANADAS 100,00 0,00 98,40 1,60PRADO 100,00 0,00 100,00 0,00PURIFICACION 100,00 0,00 98,00 2,00RIOBLANCO 100,00 0,00 99,20 0,80RONCESVALLES 99,40 0,60 99,20 0,80ROVIRA 100,00 0,00 97,50 2,50SALDAÑA 100,00 0,00 98,30 1,70SAN ANTONIO 0,00 100,00 100,00 0,00SAN LUIS 100,00 0,00 100,00 0,00SANTA ISABEL 99,40 0,60 100,00 0,00SUAREZ 99,40 0,60 100,00 0,00VALLE DE SAN JUAN 0,00 100,00 100,00 0,00VENADILLO 54,80 45,20 96,00 4,00VILLA HERMOSA 0,00 100,00 98,20 1,80VILLA RICA 0,00 100,00 98,90 1,10


Unit name Actual (I) Insumo 1 Actual (I) Insumo 2 Actual (O) Producto 1 Actual (O) Producto 2Target (I) Insumo 1 Target (I) Insumo 2 Target (O) Producto Target 1 (O) Producto 2Percent (I) Insumo 1Percent (I) Insumo 2Percent (O) Producto Percent 1 (O) Producto 2ALPUJARRA 15,00 2384,56 82,30 654 15,00 2384,56 82,30 654,00 0,0 0,0 0,0 0,0ALVARADO 15,60 2105,13 86,47 655 15,60 1731,62 97,44 738,05 0,0 -17,7 12,7 12,7AMBALEMA 15,50 1595,24 79,33 1710 15,50 1595,24 80,83 1742,43 0,0 0,0 1,9 1,9ANZOATEGUI 15,60 2472,46 66,18 498 15,60 1730,57 97,44 733,28 0,0 -30,0 47,2 47,2ATACO 15,50 3687,16 69,30 942 15,50 1839,40 96,79 1315,58 0,0 -50,1 39,7 39,7CAJAMARCA 15,33 3337,14 56,94 2100 15,33 2541,39 90,42 3334,84 0,0 -23,8 58,8 58,8CARMEN DE APICALA 15,75 1933,86 85,36 2410 15,75 1933,86 95,58 2698,62 0,0 0,0 12,0 12,0CHAPARRAL 16,25 3276,56 94,17 6434 16,25 3208,93 95,82 6547,03 0,0 -2,1 1,8 1,8COELLO 15,71 3094,97 71,76 481 15,71 1821,38 97,54 990,71 0,0 -41,2 35,9 106,0COYAIMA 15,43 2585,36 61,99 982 15,43 1981,47 94,53 1497,40 0,0 -23,4 52,5 52,5CUNDAY 15,33 1863,74 69,23 763 15,33 1863,74 91,77 1011,39 0,0 0,0 32,6 32,6DOLORES 16,57 922,56 66,20 1140 16,57 922,56 66,20 1140,00 0,0 0,0 0,0 0,0ESPINAL 16,50 4709,85 86,91 11944 16,50 4667,22 93,18 12806,18 0,0 -0,9 7,2 7,2FALAN 15,67 2000,66 92,01 475 15,67 1780,44 97,51 869,44 0,0 -11,0 6,0 83,0FLANDES 16,18 2989,77 88,11 9621 16,18 2989,77 88,78 9694,56 0,0 0,0 0,8 0,8FRESNO 15,56 1806,31 62,50 3202 15,56 1806,31 62,50 3202,00 0,0 0,0 0,0 0,0GUAMO 17,00 2926,61 98,47 4265 17,00 2926,61 98,47 4265,00 0,0 0,0 0,0 0,0GUAYABAL-ARMERO 16,38 1576,83 89,49 2910 16,38 1576,83 89,49 2910,00 0,0 0,0 0,0 0,0HERVEO 17,00 1577,24 82,08 748 15,71 1577,24 94,00 856,54 -7,6 0,0 14,5 14,5HONDA 16,11 5030,83 89,87 7408 16,11 3449,94 94,90 7823,02 0,0 -31,4 5,6 5,6IBAGUE 16,13 22833,80 50,91 95457 16,13 22833,80 50,91 95457,00 0,0 0,0 0,0 0,0ICONONZO 15,80 3419,67 64,04 847 15,80 1913,05 97,56 1290,35 0,0 -44,1 52,3 52,3LERIDA 16,25 1995,52 79,83 4239 16,25 1995,52 92,98 4937,08 0,0 0,0 16,5 16,5LIBANO 16,67 3629,54 88,31 6837 16,67 3531,79 96,21 7448,42 0,0 -2,7 8,9 8,9MARIQUITA 16,57 1871,99 90,58 6400 16,57 1871,99 90,58 6400,00 0,0 0,0 0,0 0,0MELGAR 16,45 24654,87 88,27 7023 16,45 3505,48 95,70 7613,82 0,0 -85,8 8,4 8,4MURILLO 16,25 1696,97 90,18 459 15,57 1696,97 97,44 622,15 -4,2 0,0 8,0 35,5NATAGAIMA 16,36 3021,69 55,54 2575 16,36 2790,21 97,08 4501,28 0,0 -7,7 74,8 74,8ORTEGA 15,83 14225,45 84,07 1786 15,83 2094,41 97,24 2065,78 0,0 -85,3 15,7 15,7PALOCABILDO 16,00 2367,84 52,89 746 16,00 2066,98 97,75 1718,33 0,0 -12,7 84,8 130,3PIEDRAS 15,25 2316,51 69,64 789 15,25 2118,84 89,53 1014,34 0,0 -8,5 28,6 28,6PLANADAS 15,60 3014,92 53,50 1720 15,60 2252,80 96,25 3094,77 0,0 -25,3 79,9 79,9PRADO 16,00 4262,70 59,87 1040 16,00 2066,98 97,75 1718,33 0,0 -51,5 63,3 65,2PURIFICACION 16,42 10145,99 86,36 3498 16,42 2683,57 97,46 3947,96 0,0 -73,6 12,9 12,9RIOBLANCO 15,17 3035,03 80,34 903 15,17 2227,00 87,06 978,56 0,0 -26,6 8,4 8,4RONCESVALLES 15,33 1817,19 63,99 462 15,33 1817,19 92,07 664,72 0,0 0,0 43,9 43,9ROVIRA 15,42 4239,80 63,05 2396 15,42 2469,27 92,78 3525,77 0,0 -41,8 47,2 47,2SALDAÑA 15,33 8711,74 72,49 1871 15,33 2312,95 91,10 2351,41 0,0 -73,5 25,7 25,7SAN ANTONIO 16,25 2004,65 89,23 1375 15,93 2004,65 97,70 1533,66 -2,0 0,0 9,5 11,5SAN LUIS 16,00 4316,43 90,45 1139 16,00 2066,98 97,75 1718,33 0,0 -52,1 8,1 50,9SANTA ISABEL 15,00 1654,61 81,04 622 15,00 1654,61 81,04 622,00 0,0 0,0 0,0 0,0SUAREZ 15,50 1637,17 97,39 445 15,50 1637,17 97,39 445,00 0,0 0,0 0,0 0,0VALLE DE SAN JUAN 16,00 1890,24 65,48 685 15,79 1890,24 97,60 1194,71 -1,3 0,0 49,1 74,4VENADILLO 16,22 2334,96 79,00 2302 16,22 2334,96 97,44 2839,21 0,0 0,0 23,3 23,3VILLA HERMOSA 15,89 1817,98 74,92 1014 15,76 1817,98 97,09 1314,03 -0,8 0,0 29,6 29,6VILLA RICA 15,60 1685,37 48,52 405 15,59 1685,37 97,13 810,74 -0,1 0,0 100,2 100,215,90 186479,47 76,06 206377,00 15,84 121669,84 91,87 224657,82-0,06 -64809,63 15,82 18280,82-0,361021 -34,75429762 20,794841 8,85797351


No. Municipio CCR (ETP) <strong>BCC</strong> (ETP) ETP>ETG EE Rank12 DOLORES 1,0000 1,0000 0,0000 1,0000000 118 GUAYABAL-ARMERO 1,0000 1,0000 0,0000 1,0000000 121 IBAGUE 1,0000 1,0000 0,0000 1,0000000 125 MARIQUITA 1,0000 1,0000 0,0000 1,0000000 142 SUAREZ 1,0000 1,0000 0,0000 1,0000000 117 GUAMO 0,9409 1,0000 0,0591 0,9408736 11 ALPUJARRA 0,8749 1,0000 0,1251 0,8748725 141 SANTA ISABEL 0,8613 1,0000 0,1387 0,8613131 116 FRESNO 0,7021 0,9999 0,2977 0,7022375 915 FLANDES 0,9813 0,9924 0,0111 0,9888076 108 CHAPARRAL 0,9535 0,9827 0,0293 0,9702288 113 AMBALEMA 0,8708 0,9813 0,1105 0,8874000 1220 HONDA 0,9244 0,9469 0,0225 0,9762024 1314 FALAN 0,9351 0,9437 0,0086 0,9909029 1413 ESPINAL 0,8973 0,9327 0,0354 0,9620545 1527 MURILLO 0,8918 0,9255 0,0337 0,9635868 1640 SAN LUIS 0,9036 0,9253 0,0218 0,9764934 1735 RIOBLANCO 0,8461 0,9227 0,0767 0,9168964 1826 MELGAR 0,8877 0,9224 0,0347 0,9624177 1924 LIBANO 0,8759 0,9179 0,0421 0,9541777 2039 SAN ANTONIO 0,8790 0,9133 0,0344 0,9623785 217 CARMEN DE APICALA 0,8914 0,8930 0,0017 0,9981363 222 ALVARADO 0,8837 0,8875 0,0038 0,9957155 2334 PURIFICACION 0,8532 0,8860 0,0329 0,9629024 2419 HERVEO 0,8531 0,8733 0,0202 0,9769239 2529 ORTEGA 0,8526 0,8646 0,0120 0,9861112 2623 LERIDA 0,8543 0,8586 0,0043 0,9949899 2744 VENADILLO 0,7852 0,8108 0,0256 0,9684120 2838 SALDAÑA 0,7609 0,7957 0,0348 0,9562854 2931 PIEDRAS 0,7294 0,7778 0,0484 0,9377492 3045 VILLA HERMOSA 0,7578 0,7717 0,0139 0,9820359 3111 CUNDAY 0,7211 0,7544 0,0333 0,9558994 329 COELLO 0,7277 0,7357 0,0081 0,9890562 335 ATACO 0,7150 0,7160 0,0010 0,9986542 3436 RONCESVALLES 0,6652 0,6950 0,0298 0,9570823 3537 ROVIRA 0,6625 0,6795 0,0171 0,9748811 364 ANZOATEGUI 0,6762 0,6791 0,0029 0,9957141 3743 VALLE DE SAN JUAN 0,6534 0,6709 0,0175 0,9739054 3822 ICONONZO 0,6481 0,6564 0,0083 0,9872997 3910 COYAIMA 0,6433 0,6558 0,0124 0,9810266 406 CAJAMARCA 0,6012 0,6297 0,0285 0,9547060 4133 PRADO 0,5996 0,6125 0,0129 0,9789516 4228 NATAGAIMA 0,5521 0,5721 0,0199 0,9651424 4332 PLANADAS 0,5538 0,5558 0,0020 0,9963928 4430 PALOCABILDO 0,5288 0,5411 0,0123 0,9772714 4546 VILLA RICA 0,4979 0,4995 0,0016 0,9968066 46Municipios EficientesMunicipios Eficientes (%)PromedioDesviación EstándarValor MínimoValor MáximoMunicipios IneficientesMunicipios Ineficientes (%)5 8 510,87 17,39 10,870,8020 0,8343 0,96380,14 0,15 0,050,4979 0,4995 0,7022100,00 100,00 100,0041 38 4189,13 82,61 89,13


1 ALPUJARRA 21 42 IBAGUE 0,0033 SUAREZ 0,9643 0,9676 IRS2 ALVARADO 21 42 IBAGUE 0,0031 SUAREZ 1,0032 1,0063 DRS3 AMBALEMA 18 25 42 GUAYABAL-ARMERO 0,3604 MARIQUITA 0,1079 SUAREZ 0,5039 0,9722 IRS4 ANZOATEGUI 21 42 IBAGUE 0,0030 SUAREZ 1,0033 1,0063 DRS5 ATACO 21 42 IBAGUE 0,0092 SUAREZ 0,9904 0,9996 IRS6 CAJAMARCA 21 42 IBAGUE 0,0321 SUAREZ 0,9558 0,9880 IRS7 CARMEN DE APICALA 21 25 42 IBAGUE 0,0117 MARIQUITA 0,1927 SUAREZ 0,7979 1,0023 DRS8 CHAPARRAL 21 42 IBAGUE 0,0661 SUAREZ 0,9796 1,0457 DRS9 COELLO 21 42 IBAGUE 0,0022 SUAREZ 1,0115 1,0137 DRS10 COYAIMA 21 42 IBAGUE 0,0114 SUAREZ 0,9835 0,9949 IRS11 CUNDAY 21 42 IBAGUE 0,0065 SUAREZ 0,9825 0,9890 IRS12 DOLORES 12 DOLORES 1,0000 1,0000 CRS13 ESPINAL 21 42 IBAGUE 0,1351 SUAREZ 0,9239 1,0591 DRS14 FALAN 21 42 IBAGUE 0,0006 SUAREZ 1,0101 1,0107 DRS15 FLANDES 21 25 42 IBAGUE 0,0568 MARIQUITA 0,6663 SUAREZ 0,2726 0,9956 IRS16 FRESNO 21 25 42 IBAGUE 0,0041 MARIQUITA 0,6285 SUAREZ 0,3273 0,9600 IRS17 GUAMO 21 42 IBAGUE 0,0426 SUAREZ 1,0525 1,0951 DRS18 GUAYABAL-ARMERO 18 GUAYABAL-ARMERO 1,0000 1,0000 IRS19 HERVEO 12 18 42 DOLORES 0,2468 GUAYABAL-ARMERO 0,0921 SUAREZ 0,7356 1,0745 DRS20 HONDA 21 42 IBAGUE 0,0795 SUAREZ 0,9567 1,0362 DRS21 IBAGUE 21 IBAGUE 1,0000 1,0000 CRS22 ICONONZO 21 42 IBAGUE 0,0090 SUAREZ 1,0100 1,0190 DRS23 LERIDA 21 25 42 IBAGUE 0,0097 MARIQUITA 0,6026 SUAREZ 0,3940 1,0063 DRS24 LIBANO 21 42 IBAGUE 0,0771 SUAREZ 0,9950 1,0722 DRS25 MARIQUITA 25 MARIQUITA 1,0000 1,0000 CRS26 MELGAR 21 42 IBAGUE 0,0783 SUAREZ 0,9801 1,0584 DRS27 MURILLO 12 18 42 DOLORES 0,0209 GUAYABAL-ARMERO 0,0140 SUAREZ 1,0112 1,0462 DRS28 NATAGAIMA 21 42 IBAGUE 0,0442 SUAREZ 1,0098 1,0539 DRS29 ORTEGA 21 42 IBAGUE 0,0173 SUAREZ 1,0035 1,0208 DRS30 PALOCABILDO 21 42 IBAGUE 0,0100 SUAREZ 1,0218 1,0319 DRS31 PIEDRAS 21 42 IBAGUE 0,0068 SUAREZ 0,9768 0,9836 IRS32 PLANADAS 21 42 IBAGUE 0,0280 SUAREZ 0,9773 1,0053 DRS33 PRADO 21 42 IBAGUE 0,0134 SUAREZ 1,0183 1,0317 DRS34 PURIFICACION 21 42 IBAGUE 0,0382 SUAREZ 1,0194 1,0576 DRS35 RIOBLANCO 21 42 IBAGUE 0,0067 SUAREZ 0,9716 0,9782 IRS36 RONCESVALLES 21 42 IBAGUE 0,0027 SUAREZ 0,9865 0,9891 IRS37 ROVIRA 21 42 IBAGUE 0,0334 SUAREZ 0,9599 0,9933 IRS38 SALDAÑA 21 42 IBAGUE 0,0213 SUAREZ 0,9671 0,9884 IRS39 SAN ANTONIO 21 42 IBAGUE 0,0116 SUAREZ 1,0364 1,0479 DRS40 SAN LUIS 21 42 IBAGUE 0,0084 SUAREZ 1,0235 1,0319 DRS41 SANTA ISABEL 21 42 IBAGUE 0,0031 SUAREZ 0,9645 0,9676 IRS42 SUAREZ 42 SUAREZ 1,0000 1,0000 CRS43 VALLE DE SAN JUAN 21 42 IBAGUE 0,0062 SUAREZ 1,0258 1,0320 DRS44 VENADILLO 21 42 IBAGUE 0,0260 SUAREZ 1,0196 1,0455 DRS45 VILLA HERMOSA 21 25 42 IBAGUE 0,0063 MARIQUITA 0,0472 SUAREZ 0,9680 1,0216 DRS46 VILLA RICA 21 25 42 IBAGUE 0,0016 MARIQUITA 0,0365 SUAREZ 0,9658 1,0039 DRS


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-CCR-O.xlsxExcess Excess Shortage ShortageNo. DMU Score Insumo 1 Insumo 2 Producto 1 Producto 2S-(1) S-(2) S+(1) S+(2)1 ALPUJARRA 0,87487246 0 729,7083734 0 02 ALVARADO 0,883671279 0 392,1444264 0 03 AMBALEMA 0,870835856 0 0 0 04 ANZOATEGUI 0,676229988 0 760,5315331 0 05 ATACO 0,715045425 0 1855,925846 0 06 CAJAMARCA 0,601169563 0 1038,465701 0 07 CARMEN DE APICALA 0,891384938 0 0 0 08 CHAPARRAL 0,953478372 0 162,923872 0 09 COELLO 0,727656003 0 1388,480458 0 010 COYAIMA 0,643336988 0 714,7279568 0 011 CUNDAY 0,721105122 0 106,7313172 0 012 DOLORES 1 0 0 0 013 ESPINAL 0,897283608 0 111,4450783 0 014 FALAN 0,935082706 0 332,9432632 0 015 FLANDES 0,98127912 0 0 0 016 FRESNO 0,702140303 0 0 0 017 GUAMO 0,940873552 0 231,2324692 0 018 GUAYABAL-ARMERO 1 0 0 0 019 HERVEO 0,853125274 0 0 0 020 HONDA 0,924413463 0 1649,415624 0 021 IBAGUE 1 0 0 0 022 ICONONZO 0,648075764 0 1560,995361 0 023 LERIDA 0,854302133 0 0 0 024 LIBANO 0,875852197 0 239,1719054 0 025 MARIQUITA 1 0 0 0 026 MELGAR 0,887735646 0 21262,19589 0 027 MURILLO 0,891833226 0 0 0 028 NATAGAIMA 0,552118797 0 360,3637862 0 029 ORTEGA 0,852558509 0 12188,19872 0 030 PALOCABILDO0,52878531 0 466,2197976 0 031 PIEDRAS 0,729397232 0 562,5124544 0 032 PLANADAS 0,553771169 0 775,9105997 0 033 PRADO 0,599642225 0 2289,095532 0 034 PURIFICACION0,853156997 0 7604,816324 0 035 RIOBLANCO 0,846063217 0 1292,513377 0 036 RONCESVALLES 0,665173893 0 141,0431961 0 037 ROVIRA 0,662473175 0 1905,373684 0 038 SALDAÑA 0,760880496 0 6643,113832 0 039 SAN ANTONIO0,878985359 0 44,06799164 0 040 SAN LUIS 0,903558967 0 2448,223499 0 041 SANTA ISABEL0,861313133 0 5,409858757 0 042 SUAREZ 1 0 0 0 043 VALLE DE SAN 0,653401945 JUAN0 69,23262185 0 044 VENADILLO 0,785176571 0 72,94515366 0 045 VILLA HERMOSA 0,75780692 0 0 0 046 VILLA RICA 0,497947085 0 0 0 0


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-CCR-O.xlsxNo. DMU Score VX(1) Insumo 1VX(2) Insumo 2 UY(1) Producto 1UY(2) Producto 21 ALPUJARRA 0,87487246 1,143023749 0 0,995802006 4,20E-032 ALVARADO 0,883671279 1,131642528 0 0,995997549 4,00E-033 AMBALEMA 0,870835856 0,421202112 0,72711992 0,937809864 6,22E-024 ANZOATEGUI 0,676229988 1,47878683 0 0,996023414 3,98E-035 ATACO 0,715045425 1,398512548 0 0,992840451 7,16E-036 CAJAMARCA 0,601169563 1,663424202 0 0,98080952 1,92E-027 CARMEN DE APICALA 0,891384938 0,937811204 0,18403858 0,934977666 6,50E-028 CHAPARRAL 0,953478372 1,048791488 0 0,965020231 3,50E-029 COELLO 0,727656003 1,374275751 0 0,996456565 3,54E-0310 COYAIMA 0,643336988 1,554395316 0 0,991666118 8,33E-0311 CUNDAY 0,721105122 1,386760362 0 0,994187145 5,81E-0312 DOLORES 1 0,361585169 0,638414831 1 013 ESPINAL 0,897283608 1,114474833 0 0,932042685 0,06795731514 FALAN 0,935082706 1,06942412 0 0,997268715 2,73E-0315 FLANDES 0,98127912 0,786752223 0,232325815 0,788046041 0,21195395916 FRESNO 0,702140303 1,201272313 0,222944465 0,887956175 0,11204382517 GUAMO 0,940873552 1,062842077 0 0,97753849 2,25E-0218 GUAYABAL-ARMERO 1 0,382381628 0,617618372 0,909055749 9,09E-0219 HERVEO 0,853125274 0,355089665 0,81707113 0,975456874 2,45E-0220 HONDA 0,924413463 1,081767023 0 0,958100454 4,19E-0221 IBAGUE 1 1 0 0,50133584 0,4986641622 ICONONZO 0,648075764 1,543029466 0 0,99303212 6,97E-0323 LERIDA 0,854302133 0,978497077 0,192048987 0,884340785 0,11565921524 LIBANO 0,875852197 1,141745152 0 0,960546448 3,95E-0225 MARIQUITA 1 0,847064546 0,152935454 0,851766219 0,14823378126 MELGAR 0,887735646 1,126461469 0 0,959500168 0,04049983227 MURILLO 0,891833226 0,312339621 0,808946254 0,986141202 1,39E-0228 NATAGAIMA 0,552118797 1,811204409 0 0,975991503 2,40E-0229 ORTEGA 0,852558509 1,172940026 0 0,988854873 1,11E-0230 PALOCABILDO0,52878531 1,891126665 0 0,992572553 7,43E-0331 PIEDRAS 0,729397232 1,370995057 0 0,994024928 5,98E-0332 PLANADAS 0,553771169 1,805800042 0 0,983228434 1,68E-0233 PRADO 0,599642225 1,667661078 0 0,990868939 9,13E-0334 PURIFICACION0,853156997 1,172117212 0 0,978961927 2,10E-0235 RIOBLANCO 0,846063217 1,181944776 0 0,994072182 5,93E-0336 RONCESVALLES 0,665173893 1,503366278 0 0,996184334 3,82E-0337 ROVIRA 0,662473175 1,509495083 0 0,980238126 1,98E-0238 SALDAÑA 0,760880496 1,314266834 0 0,986491073 1,35E-0239 SAN ANTONIO0,878985359 1,137675378 0 0,991890991 8,11E-0340 SAN LUIS 0,903558967 1,10673463 0 0,993363374 6,64E-0341 SANTA ISABEL0,861313133 1,161017941 0 0,995944558 4,06E-0342 SUAREZ 1 1 0 1 043 VALLE DE SAN 0,653401945 JUAN1,530451521 0 0,99448062 5,52E-0344 VENADILLO 0,785176571 1,273598878 0 0,984776036 1,52E-0245 VILLA HERMOSA 0,75780692 1,115588859 0,204008487 0,96774038 3,23E-0246 VILLA RICA 0,497947085 1,712539634 0,29570588 0,97985433 2,01E-02


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-CCR-O.xlsxNo. DMU Score V(1) Insumo 1 V(2) Insumo 2 U(1) Producto 1U(2) Producto 21 ALPUJARRA 0,87487246 7,62E-02 0 1,21E-02 02 ALVARADO 0,883671279 7,25E-02 0 1,15E-02 03 AMBALEMA 0,870835856 2,72E-02 4,56E-04 1,18E-02 3,64E-054 ANZOATEGUI 0,676229988 9,48E-02 0 1,51E-02 05 ATACO 0,715045425 9,02E-02 0 1,43E-02 06 CAJAMARCA 0,601169563 0,108484187 0 0,017224812 07 CARMEN DE APICALA 0,891384938 5,95E-02 9,52E-05 1,10E-02 2,70E-058 CHAPARRAL 0,953478372 6,45E-02 0 1,02E-02 09 COELLO 0,727656003 8,75E-02 0 1,39E-02 010 COYAIMA 0,643336988 0,100747845 0 1,60E-02 011 CUNDAY 0,721105122 9,04E-02 0 1,44E-02 012 DOLORES 1 2,18E-02 6,92E-04 1,51E-02 013 ESPINAL 0,897283608 6,75E-02 0 0,010724434 014 FALAN 0,935082706 6,83E-02 0 1,08E-02 015 FLANDES 0,98127912 4,86E-02 7,77E-05 8,94E-03 2,20E-0516 FRESNO 0,702140303 0,077224649 1,23E-04 1,42E-02 3,50E-0517 GUAMO 0,940873552 6,25E-02 0 9,93E-03 018 GUAYABAL-ARMERO 1 2,34E-02 3,92E-04 1,02E-02 3,13E-0519 HERVEO 0,853125274 0,020887627 5,18E-04 1,19E-02 3,28E-0520 HONDA 0,924413463 6,71E-02 0 1,07E-02 021 IBAGUE 1 0,062015504 0 9,85E-03 022 ICONONZO 0,648075764 9,77E-02 0 1,55E-02 023 LERIDA 0,854302133 6,02E-02 9,62E-05 1,11E-02 2,73E-0524 LIBANO 0,875852197 6,85E-02 0 1,09E-02 025 MARIQUITA 1 5,11E-02 8,17E-05 9,40E-03 2,32E-0526 MELGAR 0,887735646 6,85E-02 0 1,09E-02 027 MURILLO 0,891833226 1,92E-02 4,77E-04 0,010935254 3,02E-0528 NATAGAIMA 0,552118797 0,110684714 0 1,76E-02 029 ORTEGA 0,852558509 7,41E-02 0 1,18E-02 030 PALOCABILDO0,52878531 0,118195417 0 1,88E-02 031 PIEDRAS 0,729397232 8,99E-02 0 1,43E-02 032 PLANADAS 0,553771169 0,115756413 0 1,84E-02 033 PRADO 0,599642225 0,104228817 0 1,65E-02 034 PURIFICACION0,853156997 7,14E-02 0 1,13E-02 035 RIOBLANCO 0,846063217 7,79E-02 0 1,24E-02 036 RONCESVALLES 0,665173893 9,80E-02 0 1,56E-02 037 ROVIRA 0,662473175 9,79E-02 0 1,55E-02 038 SALDAÑA 0,760880496 8,57E-02 0 1,36E-02 039 SAN ANTONIO 0,878985359 7,00E-02 0 0,011116116 040 SAN LUIS 0,903558967 6,92E-02 0 1,10E-02 041 SANTA ISABEL0,861313133 7,74E-02 0 1,23E-02 042 SUAREZ 1 6,45E-02 0 1,03E-02 043 VALLE DE SAN 0,653401945 JUAN9,57E-02 0 0,015187548 044 VENADILLO 0,785176571 7,85E-02 0 1,25E-02 045 VILLA HERMOSA 0,75780692 7,02E-02 1,12E-04 1,29E-02 3,18E-0546 VILLA RICA 0,497947085 0,109778182 1,75E-04 2,02E-02 4,97E-05


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-CCR-O.xlsxNo. DMU 1/ScoreI/O Data Projection Difference %1 ALPUJARRA 1,143023749Insumo 1 15 15 0 0,00%Insumo 2 2384,558651 1654,850278 -729,7083734 -30,60%Producto 1 82,304 94,07542667 11,77142667 14,30%Producto 2 654 747,5375321 93,53753209 14,30%2 ALVARADO 1,131642528Insumo 1 15,6 15,6 0 0,00%Insumo 2 2105,133406 1712,98898 -392,1444264 -18,63%Producto 1 86,474 97,857656 11,383656 13,16%Producto 2 655 741,2258561 86,22585613 13,16%3 AMBALEMA 1,148322032Insumo 1 15,5 15,5 0 0,00%Insumo 2 1595,243554 1595,243554 0 0,00%Producto 1 79,33 91,09638678 11,76638678 14,83%Producto 2 1710 1963,630674 253,6306743 14,83%4 ANZOATEGUI 1,47878683Insumo 1 15,6 15,6 0 0,00%Insumo 2 2472,455015 1711,923482 -760,5315331 -30,76%Producto 1 66,176 97,86019726 31,68419726 47,88%Producto 2 498 736,4358413 238,4358413 47,88%5 ATACO 1,398512548Insumo 1 15,5 15,5 0 0,00%Insumo 2 3687,155758 1831,229911 -1855,925846 -50,33%Producto 1 69,30375 96,92216402 27,61841402 39,85%Producto 2 942 1317,398821 375,3988206 39,85%6 CAJAMARCA 1,663424202Insumo 1 15,33333333 15,33333333 0 0,00%Insumo 2 3337,142164 2298,676463 -1038,465701 -31,12%Producto 1 56,94166667 94,71814643 37,77647976 66,34%Producto 2 2100 3493,190824 1393,190824 66,34%7 CARMEN DE APICALA 1,121849784Insumo 1 15,75 15,75 0 0,00%Insumo 2 1933,861001 1933,861001 0 0,00%Producto 1 85,3575 95,75829296 10,40079296 12,18%Producto 2 2410 2703,65798 293,65798 12,18%8 CHAPARRAL 1,048791488Insumo 1 16,25 16,25 0 0,00%Insumo 2 3276,555766 3113,631894 -162,923872 -4,97%Producto 1 94,17 98,76469438 4,594694379 4,88%Producto 2 6434 6747,924431 313,9244306 4,88%9 COELLO 1,374275751Insumo 1 15,71428571 15,71428571 0 0,00%Insumo 2 3094,971275 1706,490817 -1388,480458 -44,86%Producto 1 71,76142857 98,61999112 26,85856255 37,43%Producto 2 481 661,0266361 180,0266361 37,43%10 COYAIMA 1,554395316Insumo 1 15,42857143 15,42857143 0 0,00%Insumo 2 2585,363569 1870,635612 -714,7279568 -27,65%Producto 1 61,99285714 96,36140674 34,3685496 55,44%Producto 2 982 1526,4162 544,4161999 55,44%11 CUNDAY 1,386760362Insumo 1 15,33333333 15,33333333 0 0,00%Insumo 2 1863,742397 1757,011079 -106,7313172 -5,73%Producto 1 69,23333333 96,01004236 26,77670903 38,68%Producto 2 763 1058,098156 295,0981558 38,68%12 DOLORES 1Insumo 1 16,57142857 16,57142857 0 0,00%Insumo 2 922,559944 922,559944 0 0,00%Producto 1 66,19714286 66,19714286 0 0,00%Producto 2 1140 1140 0 0,00%13 ESPINAL 1,114474833Insumo 1 16,5 16,5 0 0,00%Insumo 2 4709,849966 4598,404888 -111,4450783 -2,37%Producto 1 86,90833333 96,85715031 9,948816973 11,45%Producto 2 11944 13311,28741 1367,287409 11,45%14 FALAN 1,06942412Insumo 1 15,66666667 15,66666667 0 0,00%Insumo 2 2000,663777 1667,720514 -332,9432632 -16,64%Producto 1 92,01333333 98,40127805 6,387944713 6,94%


Producto 2 475 507,9764571 32,9764571 6,94%15 FLANDES 1,019078037Insumo 1 16,18181818 16,18181818 0 0,00%Insumo 2 2989,771848 2989,771848 0 0,00%Producto 1 88,10818182 89,78911301 1,680931188 1,91%Producto 2 9621 9804,549798 183,5497979 1,91%16 FRESNO 1,424216779Insumo 1 15,55555556 15,55555556 0 0,00%Insumo 2 1806,308787 1806,308787 0 0,00%Producto 1 62,50444444 89,01987852 26,51543408 42,42%Producto 2 3202 4560,342125 1358,342125 42,42%17 GUAMO 1,062842077Insumo 1 17 17 0 0,00%Insumo 2 2926,60663 2695,37416 -231,2324692 -7,90%Producto 1 98,475 104,6633735 6,188373497 6,28%Producto 2 4265 4533,021457 268,0214568 6,28%18 GUAYABAL-ARMERO 1Insumo 1 16,375 16,375 0 0,00%Insumo 2 1576,827902 1576,827902 0 0,00%Producto 1 89,48625 89,48625 0 0,00%Producto 2 2910 2910 0 0,00%19 HERVEO 1,172160795Insumo 1 17 17 0 0,00%Insumo 2 1577,241912 1577,241912 0 0,00%Producto 1 82,085 96,21681888 14,13181888 17,22%Producto 2 748 876,7762749 128,7762749 17,22%20 HONDA 1,081767023Insumo 1 16,11111111 16,11111111 0 0,00%Insumo 2 5030,832056 3381,416432 -1649,415624 -32,79%Producto 1 89,87 97,21840234 7,348402337 8,18%Producto 2 7408 8013,730105 605,7301047 8,18%21 IBAGUE 1Insumo 1 16,125 16,125 0 0,00%Insumo 2 22833,79671 22833,79671 0 0,00%Producto 1 50,914375 50,914375 0 0,00%Producto 2 95457 95457 0 0,00%22 ICONONZO 1,543029466Insumo 1 15,8 15,8 0 0,00%Insumo 2 3419,671463 1858,676102 -1560,995361 -45,65%Producto 1 64,041 98,81715 34,77615 54,30%Producto 2 847 1306,945957 459,9459573 54,30%23 LERIDA 1,170546064Insumo 1 16,25 16,25 0 0,00%Insumo 2 1995,524641 1995,524641 0 0,00%Producto 1 79,83416667 93,4495696 13,61540293 17,05%Producto 2 4239 4961,944767 722,944767 17,05%24 LIBANO 1,141745152Insumo 1 16,66666667 16,66666667 0 0,00%Insumo 2 3629,537502 3390,365597 -239,1719054 -6,59%Producto 1 88,31 100,8275144 12,5175144 14,17%Producto 2 6837 7806,111606 969,1116064 14,17%25 MARIQUITA 1Insumo 1 16,57142857 16,57142857 0 0,00%Insumo 2 1871,987147 1871,987147 0 0,00%Producto 1 90,58142857 90,58142857 0 0,00%Producto 2 6400 6400 0 0,00%26 MELGAR 1,126461469Insumo 1 16,45454545 16,45454545 0 0,00%Insumo 2 24654,87346 3392,67757 -21262,19589 -86,24%Producto 1 88,27272727 99,43582605 11,16309878 12,65%Producto 2 7023 7911,138898 888,1388978 12,65%27 MURILLO 1,121285876Insumo 1 16,25 16,25 0 0,00%Insumo 2 1696,96744 1696,96744 0 0,00%Producto 1 90,18 101,1175603 10,93756026 12,13%Producto 2 459 514,6702169 55,67021687 12,13%28 NATAGAIMA 1,811204409Insumo 1 16,36363636 16,36363636 0 0,00%Insumo 2 3021,688603 2661,324816 -360,3637862 -11,93%Producto 1 55,53545455 100,5860601 45,05060557 81,12%Producto 2 2575 4663,851352 2088,851352 81,12%29 ORTEGA 1,172940026Insumo 1 15,83333333 15,83333333 0 0,00%Insumo 2 14225,44986 2037,25114 -12188,19872 -85,68%


Producto 1 84,07 98,609068 14,539068 17,29%Producto 2 1786 2094,870887 308,8708867 17,29%30 PALOCABILDO 1,891126665Insumo 1 16 16 0 0,00%Insumo 2 2367,840557 1901,62076 -466,2197976 -19,69%Producto 1 52,89 100,0216893 47,13168933 89,11%Producto 2 746 1410,780492 664,7804923 89,11%31 PIEDRAS 1,370995057Insumo 1 15,25 15,25 0 0,00%Insumo 2 2316,507103 1753,994648 -562,5124544 -24,28%Producto 1 69,6375 95,47266825 25,83516825 37,10%Producto 2 789 1081,7151 292,7150996 37,10%32 PLANADAS 1,805800042Insumo 1 15,6 15,6 0 0,00%Insumo 2 3014,91789 2239,00729 -775,9105997 -25,74%Producto 1 53,496 96,60307903 43,10707903 80,58%Producto 2 1720 3105,976072 1385,976072 80,58%33 PRADO 1,667661078Insumo 1 16 16 0 0,00%Insumo 2 4262,695438 1973,599906 -2289,095532 -53,70%Producto 1 59,87428571 99,85001588 39,97573016 66,77%Producto 2 1040 1734,367521 694,3675214 66,77%34 PURIFICACION 1,172117212Insumo 1 16,41666667 16,41666667 0 0,00%Insumo 2 10145,99456 2541,178234 -7604,816324 -74,95%Producto 1 86,35583333 101,2191586 14,86332525 17,21%Producto 2 3498 4100,066007 602,0660066 17,21%35 RIOBLANCO 1,181944776Insumo 1 15,16666667 15,16666667 0 0,00%Insumo 2 3035,030834 1742,517457 -1292,513377 -42,59%Producto 1 80,33833333 94,95547343 14,61714009 18,19%Producto 2 903 1067,296133 164,2961331 18,19%36 RONCESVALLES 1,503366278Insumo 1 15,33333333 15,33333333 0 0,00%Insumo 2 1817,187282 1676,144086 -141,0431961 -7,76%Producto 1 63,99166667 96,20291372 32,21124706 50,34%Producto 2 462 694,5552203 232,5552203 50,34%37 ROVIRA 1,509495083Insumo 1 15,41666667 15,41666667 0 0,00%Insumo 2 4239,804686 2334,431002 -1905,373684 -44,94%Producto 1 63,0525 95,1774387 32,1249387 50,95%Producto 2 2396 3616,750218 1220,750218 50,95%38 SALDAÑA 1,314266834Insumo 1 15,33333333 15,33333333 0 0,00%Insumo 2 8711,741954 2068,628122 -6643,113832 -76,25%Producto 1 72,48666667 95,26682191 22,78015524 31,43%Producto 2 1871 2458,993246 587,9932465 31,43%39 SAN ANTONIO 1,137675378Insumo 1 16,25 16,25 0 0,00%Insumo 2 2004,648104 1960,580112 -44,06799164 -2,20%Producto 1 89,23 101,514774 12,28477396 13,77%Producto 2 1375 1564,303644 189,3036445 13,77%40 SAN LUIS 1,10673463Insumo 1 16 16 0 0,00%Insumo 2 4316,431394 1868,207895 -2448,223499 -56,72%Producto 1 90,4475 100,1013805 9,653880491 10,67%Producto 2 1139 1260,570744 121,5707441 10,67%41 SANTA ISABEL 1,161017941Insumo 1 15 15 0 0,00%Insumo 2 1654,613602 1649,203743 -5,409858757 -0,33%Producto 1 81,04 94,0888939 13,0488939 16,10%Producto 2 622 722,153159 100,153159 16,10%42 SUAREZ 1Insumo 1 15,5 15,5 0 0,00%Insumo 2 1637,17231 1637,17231 0 0,00%Producto 1 97,385 97,385 0 0,00%Producto 2 445 445 0 0,00%43 VALLE DE SAN JUAN 1,530451521Insumo 1 16 16 0 0,00%Insumo 2 1890,235908 1821,003286 -69,23262185 -3,66%Producto 1 65,48 100,2139656 34,73396558 53,05%Producto 2 685 1048,359292 363,3592917 53,05%44 VENADILLO 1,273598878Insumo 1 16,22222222 16,22222222 0 0,00%


Insumo 2 2334,961918 2262,016764 -72,94515366 -3,12%Producto 1 79 100,6143114 21,61431138 27,36%Producto 2 2302 2931,824618 629,8246177 27,36%45 VILLA HERMOSA 1,319597346Insumo 1 15,88888889 15,88888889 0 0,00%Insumo 2 1817,97889 1817,97889 0 0,00%Producto 1 74,92444444 98,87009802 23,94565358 31,96%Producto 2 1014 1338,071709 324,0717086 31,96%46 VILLA RICA 2,008245514Insumo 1 15,6 15,6 0 0,00%Insumo 2 1685,369649 1685,369649 0 0,00%Producto 1 48,52 97,44007235 48,92007235 100,82%Producto 2 405 813,3394333 408,3394333 100,82%


MunicipioDMUPALOCABILDOPLANADASCAJAMARCAICONONZOROVIRAANZOATEGUIATACOCOELLOVILLA HERMOSAVENADILLOORTEGAPURIFICACIONSANTA ISABELALPUJARRASAN ANTONIOMELGARMURILLOSAN LUISFALANCHAPARRALDOLORESIBAGUESUAREZ0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


MunicipioDMUVILLA HERMOSAVALLE DE SAN JUANSANTA ISABELSAN ANTONIOROVIRARIOBLANCOPRADOPIEDRASORTEGAMURILLOMARIQUITALERIDAIBAGUEHERVEOGUAMOFLANDESESPINALCUNDAYCOELLOCARMEN DE APICALAATACOAMBALEMAALPUJARRA0,0000000 0,1000000 0,2000000 0,3000000 0,4000000 0,5000000 0,6000000 0,7000000 0,8000000 0,9000000 1,0000000Efficiency


<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Mae<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O)Rank DMU Score1 SUAREZ 11 MARIQUITA 11 IBAGUE 11 GUAYABAL-ARMERO 11 DOLORES 16 FLANDES 0,981279127 CHAPARRAL 0,9534783728 GUAMO 0,9408735529 FALAN 0,93508270610 HONDA 0,92441346311 SAN LUIS 0,90355896712 ESPINAL 0,89728360813 MURILLO 0,89183322614 CARMEN DE APICALA 0,89138493815 MELGAR 0,88773564616 ALVARADO 0,88367127917 SAN ANTONIO 0,87898535918 LIBANO 0,87585219719 ALPUJARRA 0,8748724620 AMBALEMA 0,87083585621 SANTA ISABEL 0,86131313322 LERIDA 0,85430213323 PURIFICACION 0,85315699724 HERVEO 0,85312527425 ORTEGA 0,85255850926 RIOBLANCO 0,84606321727 VENADILLO 0,78517657128 SALDAÑA 0,76088049629 VILLA HERMOSA0,7578069230 PIEDRAS 0,72939723231 COELLO 0,72765600332 CUNDAY 0,72110512233 ATACO 0,71504542534 FRESNO 0,70214030335 ANZOATEGUI 0,67622998836 RONCESVALLES0,66517389337 ROVIRA 0,66247317538 VALLE DE SAN JUAN 0,65340194539 ICONONZO 0,64807576440 COYAIMA 0,64333698841 CAJAMARCA 0,60116956342 PRADO 0,59964222543 PLANADAS 0,55377116944 NATAGAIMA 0,55211879745 PALOCABILDO 0,5287853146 VILLA RICA 0,497947085


ente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-CCR-O.xlsx


le-CCR-O.xlsx


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-CCR-O.xlsxNo. DMU Score Rank 1/Score Reference set (lambda)1 ALPUJARRA 0,8748725 19 1,1430237 IBAGUE 3,34E-03 SUAREZ 0,9642715052 ALVARADO 0,8836713 16 1,1316425 IBAGUE 3,09E-03 SUAREZ 1,0032389523 AMBALEMA 0,8708359 20 1,1483220 GUAYABAL-ARMERO 0,360396162 MARIQUITA 0,107913872 SUAREZ 0,5038855384 ANZOATEGUI 0,6762300 35 1,4787868 IBAGUE 3,04E-03 SUAREZ 1,0032914095 ATACO 0,7150454 33 1,3985125 IBAGUE 9,18E-03 SUAREZ 0,9904459696 CAJAMARCA 0,6011696 41 1,6634242 IBAGUE 3,21E-02 SUAREZ 0,9558128037 CARMEN DE APICALA 0,8913849 14 1,1218498 IBAGUE 1,17E-02 MARIQUITA 0,192734858 SUAREZ 0,797918968 CHAPARRAL 0,9534784 7 1,0487915 IBAGUE 0,066124055 SUAREZ 0,979596759 COELLO 0,7276560 31 1,3742758 IBAGUE 2,21E-03 SUAREZ 1,01152645410 COYAIMA 0,6433370 40 1,5543953 IBAGUE 1,14E-02 SUAREZ 0,98352617211 CUNDAY 0,7211051 32 1,3867604 IBAGUE 6,50E-03 SUAREZ 0,98248059612 DOLORES 1,0000000 1 1,0000000 DOLORES 113 ESPINAL 0,8972836 12 1,1144748 IBAGUE 0,135140852 SUAREZ 0,92392604914 FALAN 0,9350827 9 1,0694241 IBAGUE 6,13E-04 SUAREZ 1,01011540715 FLANDES 0,9812791 6 1,0190780 IBAGUE 5,68E-02 MARIQUITA 0,666316039 SUAREZ 0,27255718116 FRESNO 0,7021403 34 1,4242168 IBAGUE 4,11E-03 MARIQUITA 0,628515861 SUAREZ 0,32734856517 GUAMO 0,9408736 8 1,0628421 IBAGUE 4,26E-02 SUAREZ 1,05247605318 GUAYABAL-ARMERO 1,0000000 1 1,0000000 GUAYABAL-ARMERO 119 HERVEO 0,8531253 24 1,1721608 DOLORES 0,246795357 GUAYABAL-ARMERO 0,092127724 SUAREZ 0,73559076720 HONDA 0,9244135 10 1,0817670 IBAGUE 7,95E-02 SUAREZ 0,95673010121 IBAGUE 1,0000000 1 1,0000000 IBAGUE 122 ICONONZO 0,6480758 39 1,5430295 IBAGUE 8,98E-03 SUAREZ 1,01000960523 LERIDA 0,8543021 22 1,1705461 IBAGUE 9,74E-03 MARIQUITA 0,602626405 SUAREZ 0,39397101124 LIBANO 0,8758522 18 1,1417452 IBAGUE 7,71E-02 SUAREZ 0,99502079225 MARIQUITA 1,0000000 1 1,0000000 MARIQUITA 126 MELGAR 0,8877356 15 1,1264615 IBAGUE 7,83E-02 SUAREZ 0,98011865827 MURILLO 0,8918332 13 1,1212859 DOLORES 2,09E-02 GUAYABAL-ARMERO1,40E-02 SUAREZ 1,01123244928 NATAGAIMA 0,5521188 44 1,8112044 IBAGUE 4,42E-02 SUAREZ 1,00978747729 ORTEGA 0,8525585 25 1,1729400 IBAGUE 1,73E-02 SUAREZ 1,00354170330 PALOCABILDO 0,5287853 45 1,8911267 IBAGUE 1,00E-02 SUAREZ 1,02183857531 PIEDRAS 0,7293972 30 1,3709951 IBAGUE 6,78E-03 SUAREZ 0,97681941232 PLANADAS 0,5537712 43 1,8058000 IBAGUE 2,80E-02 SUAREZ 0,9773415133 PRADO 0,5996422 42 1,6676611 IBAGUE 1,34E-02 SUAREZ 1,01829482834 PURIFICACION 0,8531570 23 1,1721172 IBAGUE 3,82E-02 SUAREZ 1,01939972735 RIOBLANCO 0,8460632 26 1,1819448 IBAGUE 6,65E-03 SUAREZ 0,97157477536 RONCESVALLES0,6651739 36 1,5033663 IBAGUE 2,68E-03 SUAREZ 0,98646191837 ROVIRA 0,6624732 37 1,5094951 IBAGUE 3,34E-02 SUAREZ 0,95986219438 SALDAÑA 0,7608805 28 1,3142668 IBAGUE 2,13E-02 SUAREZ 0,96713876539 SAN ANTONIO 0,8789854 17 1,1376754 IBAGUE 1,16E-02 SUAREZ 1,03636490940 SAN LUIS 0,9035590 11 1,1067346 IBAGUE 8,43E-03 SUAREZ 1,02348358941 SANTA ISABEL 0,8613131 21 1,1610179 IBAGUE 3,07E-03 SUAREZ 0,964549542 SUAREZ 1,0000000 1 1,0000000 SUAREZ 143 VALLE DE SAN JUAN 0,6534019 38 1,5304515 IBAGUE 6,20E-03 SUAREZ 1,02580761244 VENADILLO 0,7851766 27 1,2735989 IBAGUE 2,60E-02 SUAREZ 1,01958772445 VILLA HERMOSA0,7578069 29 1,3195973 IBAGUE 6,34E-03 MARIQUITA 4,72E-02 SUAREZ 0,96804472146 VILLA RICA 0,4979471 46 2,0082455 IBAGUE 1,57E-03 MARIQUITA 3,65E-02 SUAREZ 0,965793485


<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-CCR-O.xlsxData File = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Calidad de agua potable-CCR-O.xlsxHoja1<strong>DEA</strong> model = <strong>DEA</strong>-<strong>Solver</strong> LV3.0/ CCR(CCR-O)Problem = MunicipioNo. of DMUs = 46No. of Input items = 2Input(1) = Insumo 1Input(2) = Insumo 2No. of Output items = 2Output(1) = Producto 1Output(2) = Producto 2Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)Statistics on Input/Output DataInsumo 1 Insumo 2 Producto 1 Producto 2Max 17 24654,87346 98,475 95457Min 15 922,559944 48,52 405Average 15,89703244 4053,901615 76,05611095 4486,456522SD 0,499950389 4815,297857 13,65712978 13813,7822CorrelationInsumo 1 Insumo 2 Producto 1 Producto 2Insumo 1 1 0,161747774 0,352485721 0,164055485Insumo 2 0,161747774 1 -0,030036115 0,618518419Producto 1 0,352485721 -0,030036115 1 -0,194482311Producto 2 0,164055485 0,618518419 -0,194482311 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 46Average 0,802021608SD 0,141894443Maximum 1Minimum 0,497947085Frequency in Reference SetReference Frequency to other DMUsDOLORES 2GUAYABAL-ARMERO 3IBAGUE 38MARIQUITA 7SUAREZ 41No. of DMUs in Data = 46No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 46Average of scores = 0,802021608No. of efficient DMUs = 5No. of inefficient DMUs = 41No. of over iteration DMUs = 0[CCR-O] LP started at 07-17-2008 12:10:47 and completed at 07-17-2008 12:10:48Elapsed time = 0 secondsTotal number of simplex iterations = 218


Municipio (I) Insumo 1 (I) Insumo 2 (O) Producto 1 (O) Producto 2ALPUJARRA 15,00 2384,559 82,30 654ALVARADO 15,60 2105,133 86,47 655AMBALEMA 15,50 1595,244 79,33 1710ANZOATEGUI 15,60 2472,455 66,18 498ATACO 15,50 3687,156 69,30 942CAJAMARCA 15,33 3337,142 56,94 2100CARMEN DE APICALA 15,75 1933,861 85,36 2410CHAPARRAL 16,25 3276,556 94,17 6434COELLO 15,71 3094,971 71,76 481COYAIMA 15,43 2585,364 61,99 982CUNDAY 15,33 1863,742 69,23 763DOLORES 16,57 922,560 66,20 1140ESPINAL 16,50 4709,850 86,91 11944FALAN 15,67 2000,664 92,01 475FLANDES 16,18 2989,772 88,11 9621FRESNO 15,56 1806,309 62,50 3202GUAMO 17,00 2926,607 98,48 4265GUAYABAL-ARMERO 16,38 1576,828 89,49 2910HERVEO 17,00 1577,242 82,09 748HONDA 16,11 5030,832 89,87 7408IBAGUE 16,13 22833,797 50,91 95457ICONONZO 15,80 3419,671 64,04 847LERIDA 16,25 1995,525 79,83 4239LIBANO 16,67 3629,538 88,31 6837MARIQUITA 16,57 1871,987 90,58 6400MELGAR 16,45 24654,873 88,27 7023MURILLO 16,25 1696,967 90,18 459NATAGAIMA 16,36 3021,689 55,54 2575ORTEGA 15,83 14225,450 84,07 1786PALOCABILDO 16,00 2367,841 52,89 746PIEDRAS 15,25 2316,507 69,64 789PLANADAS 15,60 3014,918 53,50 1720PRADO 16,00 4262,695 59,87 1040PURIFICACION 16,42 10145,995 86,36 3498RIOBLANCO 15,17 3035,031 80,34 903RONCESVALLES 15,33 1817,187 63,99 462ROVIRA 15,42 4239,805 63,05 2396SALDAÑA 15,33 8711,742 72,49 1871SAN ANTONIO 16,25 2004,648 89,23 1375SAN LUIS 16,00 4316,431 90,45 1139SANTA ISABEL 15,00 1654,614 81,04 622SUAREZ 15,50 1637,172 97,39 445VALLE DE SAN JUAN 16,00 1890,236 65,48 685VENADILLO 16,22 2334,962 79,00 2302VILLA HERMOSA 15,89 1817,979 74,92 1014VILLA RICA 15,60 1685,370 48,52 405


<strong>Model</strong> name = <strong>BCC</strong>-IWokbook name = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Cobertura de agua potable-<strong>BCC</strong>-I Dea <strong>Solver</strong> 1.xlsxNo. DMU Score RTS RTS of Projected DMU RTS Efficient Projected Total1 ALPUJARRA 1 Increasing No. of IRS 4 40 442 ALVARADO 0,428540551 Increasing No. of CRS 2 1 33 AMBALEMA 1 Increasing No. of DRS 0 0 04 ANZOATEGUI 0,396032124 Increasing Total 6 41 475 ATACO 0,232703287 Increasing6 CAJAMARCA 0,376202031 Increasing7 CARMEN DE APICALA 1 Increasing8 CASABIANCA 1 Increasing9 CHAPARRAL 1 Increasing10 COELLO 0,280684367 Increasing11 COYAIMA 0,429404571 Increasing12 CUNDAY 1 Increasing13 DOLORES 1 Increasing14 ESPINAL 0,932701705 Increasing15 FALAN 0,441485135 Increasing16 FLANDES 1 Increasing17 FRESNO 0,904681034 Increasing18 GUAMO 0,631055593 Increasing19 GUAYABAL-ARMERO 1 Increasing20 HERVEO 1 Increasing21 HONDA 1 Increasing22 IBAGUE 1 Constant23 ICONONZO 1 Increasing24 LERIDA 1 Increasing25 LIBANO 1 Increasing26 MARIQUITA 1 Constant27 MELGAR 1 Constant28 MURILLO 1 Increasing29 NATAGAIMA 1 Increasing30 ORTEGA 0,166666667 Increasing31 PALOCABILDO0,379266152 Increasing32 PIEDRAS 0,371873454 Increasing33 PLANADAS 1 Increasing34 PRADO 0,220454676 Increasing35 PURIFICACION1 Increasing36 RIOBLANCO 0,451191188 Increasing37 RONCESVALLES 0,475743912 Increasing38 ROVIRA 0,331592502 Increasing39 SALDAÑA 0,144677631 Increasing40 SAN ANTONIO1 Increasing41 SAN LUIS 1 Increasing42 SANTA ISABEL1 Increasing43 SUAREZ 1 Increasing44 VALLE DE SAN 1JUANIncreasing45 VENADILLO 0,833134394 Increasing46 VILLA HERMOSA 0,768149239 Increasing47 VILLA RICA 1 Increasing


<strong>Model</strong> <strong>Name</strong> = <strong>BCC</strong>-I<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Cobertura de agua potable-<strong>BCC</strong>-I Dea <strong>Solver</strong> 1.xlsxExcess Excess Shortage ShortageNo. DMU Score Insumo 1 Insumo 2 Producto 1 Producto 2S-(1) S-(2) S+(1) S+(2)1 ALPUJARRA 1 0 0 3208213,864 20305,556122 ALVARADO 0,428540551 0 97,28059518 0 03 AMBALEMA 1 0 0 747047,1796 2348,2147984 ANZOATEGUI 0,396032124 0 0 350622,6808 522,87448455 ATACO 0,232703287 0 38,00588657 161136 2346 CAJAMARCA 0,376202031 0 32,73205015 0 07 CARMEN DE APICALA 1 0 0 1510010,749 8031,3205228 CASABIANCA 1 0 0 0 09 CHAPARRAL 1 0 0 2212190,338 11504,078910 COELLO 0,280684367 0 0,660826411 426100,3332 011 COYAIMA 0,429404571 0 0 296597,7851 012 CUNDAY 1 0 0 1479969,627 11140,6624913 DOLORES 1 0 0 0 014 ESPINAL 0,932701705 0 0 0 5050,21242215 FALAN 0,441485135 0 37,37359894 209022,0602 016 FLANDES 1 0 0 0 017 FRESNO 0,904681034 0 90,96341926 0 018 GUAMO 0,631055593 0 0 270778,0494 019 GUAYABAL-ARMERO 1 0 0 0 020 HERVEO 1 0 0 1302969,428 6387,26632821 HONDA 1 0 0 3929696,552 39742,5422122 IBAGUE 1 0 0 0 023 ICONONZO 1 0 0 4935050,992 38146,9155724 LERIDA 1 0 0 60946,36027 875,584684625 LIBANO 1 0 0 1140192,306 15006,2935826 MARIQUITA 1 0 0 0 027 MELGAR 1 1821,076747 0 45345068 35509028 MURILLO 1 0 0 1506360,536 9644,58000229 NATAGAIMA 1 0 0 4253165,781 20263,8820630 ORTEGA 0,166666667 0 0 2564790,439 16534,9777331 PALOCABILDO 0,379266152 0 75,41137391 220534,9416 032 PIEDRAS 0,371873454 0 42,29136712 177153,8543 033 PLANADAS 1 0 0 3745820,772 24849,0486634 PRADO 0,220454676 0 63,74276709 0 035 PURIFICACION 1 0 0 19393236,49 145729,226236 RIOBLANCO 0,451191188 0 0 750448,8438 2132,75561837 RONCESVALLES 0,475743912 0 43,30004033 245877,7078 038 ROVIRA 0,331592502 0 0 544537,1678 039 SALDAÑA 0,144677631 0 22,81764286 311134,4156 040 SAN ANTONIO 1 0 0 1791971,69 9731,71141441 SAN LUIS 1 0 0 7501264,669 51268,0309842 SANTA ISABEL 1 0 0 1349025,135 6870,22391843 SUAREZ 1 0 0 1583750,51 7993,11022444 VALLE DE SAN JUAN 1 0 0 1786186,022 11905,6525345 VENADILLO 0,833134394 0 0 0 7644,16608446 VILLA HERMOSA 0,768149239 0 0 779417,5422 3196,72781547 VILLA RICA 1 0 0 832548,3004 9435,026109


<strong>Model</strong> <strong>Name</strong> = <strong>BCC</strong>-I<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Cobertura de agua potable-<strong>BCC</strong>-I Dea <strong>Solver</strong> 1.xlsxNo. DMU Score VX(1) VX(2) UY(0) UY(1) UY(2)1 ALPUJARRA 1 0 1 1 0 02 ALVARADO 0,428540551 1 0 0,357640787 2,09E-02 5,00E-023 AMBALEMA 1 0 1 1 0 04 ANZOATEGUI 0,396032124 0,614748024 0,385251976 0,396032124 0 05 ATACO 0,232703287 1 0 0,232703287 0 06 CAJAMARCA 0,376202031 1 0 0,213152452 1,32E-02 0,1498833237 CARMEN DE APICALA 1 0 1 1 0 08 CASABIANCA 1 0,765767818 0,234232182 0,745452674 0,254547326 09 CHAPARRAL 1 0 1 1 0 010 COELLO 0,280684367 1 0 0,263785448 0 0,0168989211 COYAIMA 0,429404571 0,810117845 0,189882155 0,366504395 0 6,29E-0212 CUNDAY 1 2,83E-16 1 1 1,79E-17 013 DOLORES 1 1 0 0,763096462 0 0,23690353814 ESPINAL 0,932701705 0,973283849 2,67E-02 0,176945054 0,755756651 015 FALAN 0,441485135 1 0 0,408068758 0 3,34E-0216 FLANDES 1 0,99970896 2,91E-04 0,256268729 0 0,74373127117 FRESNO 0,904681034 1 0 0,393797584 2,90E-02 0,481880718 GUAMO 0,631055593 0,943783715 5,62E-02 0,377190495 0 0,25386509819 GUAYABAL-ARMERO 1 0,996110932 3,89E-03 0,540915458 0,459084542 020 HERVEO 1 0 1 1 0 1,28E-1721 HONDA 1 3,93E-16 1 1 4,19E-17 022 IBAGUE 1 0,999905928 9,41E-05 0 1 023 ICONONZO 1 3,33E-15 1 1 0 024 LERIDA 1 4,18E-15 1 1 2,41E-15 025 LIBANO 1 0 1 1 0 026 MARIQUITA 1 1 0 0 1 027 MELGAR 1 0 1 1 0 028 MURILLO 1 1,32E-16 1 1 0 029 NATAGAIMA 1 0 1 1 0 030 ORTEGA 0,166666667 6,08E-15 1 0,166666667 0 031 PALOCABILDO0,379266152 1 0 0,344790269 0 3,45E-0232 PIEDRAS 0,371873454 1 0 0,35243077 0 1,94E-0233 PLANADAS 1 0 1 1 2,54E-16 034 PRADO 0,220454676 1 0 0,176621009 8,89E-03 3,49E-0235 PURIFICACION1 0 1 1 0 036 RIOBLANCO 0,451191188 0,859729925 0,140270075 0,451191188 0 037 RONCESVALLES 0,475743912 1 0 0,449270359 0 2,65E-0238 ROVIRA 0,331592502 0,932451336 6,75E-02 0,257236705 0 7,44E-0239 SALDAÑA 0,144677631 1 0 8,08E-02 0 6,39E-0240 SAN ANTONIO1 0 1 1 0 041 SAN LUIS 1 0 1 1 0 6,65E-1742 SANTA ISABEL1 0 1 1 0 043 SUAREZ 1 0 1 1 0 044 VALLE DE SAN 1JUAN0 1 1 0 045 VENADILLO 0,833134394 0,902445523 9,76E-02 0,33093841 0,502195984 046 VILLA HERMOSA 0,768149239 0,876743931 0,123256069 0,768149239 0 047 VILLA RICA 1 8,93E-16 1 1 2,07E-16 0


<strong>Model</strong> <strong>Name</strong> = <strong>BCC</strong>-I<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Cobertura de agua potable-<strong>BCC</strong>-I Dea <strong>Solver</strong> 1.xlsxNo. DMU Score V(1) V(2) U(0) U(1) U(2)1 ALPUJARRA 1 0 1 1 0 02 ALVARADO 0,428540551 4,75E-04 0 0,357640787 3,36E-08 1,94E-053 AMBALEMA 1 0 1 1 0 04 ANZOATEGUI 0,396032124 2,49E-04 3,97E-03 0,396032124 0 05 ATACO 0,232703287 2,71E-04 0 0,232703287 0 06 CAJAMARCA 0,376202031 3,00E-04 0 0,213152452 8,35E-09 1,63E-057 CARMEN DE APICALA 1 0 1 1 0 08 CASABIANCA 1 8,92E-04 5,09E-03 0,745452674 4,01E-07 09 CHAPARRAL 1 0 1 1 0 010 COELLO 0,280684367 3,23E-04 0 0,263785448 0 9,10E-0611 COYAIMA 0,429404571 3,13E-04 2,60E-03 0,366504395 0 1,49E-0512 CUNDAY 1 1,52E-19 1 1 2,31E-23 013 DOLORES 1 1,08E-03 0 0,763096462 0 6,28E-0514 ESPINAL 0,932701705 2,07E-04 1,27E-03 0,176945054 9,29E-08 015 FALAN 0,441485135 5,00E-04 0 0,408068758 0 1,41E-0516 FLANDES 1 3,34E-04 2,91E-04 0,256268729 0 1,93E-0517 FRESNO 0,904681034 5,54E-04 0 0,393797584 1,54E-08 3,01E-0518 GUAMO 0,631055593 3,22E-04 2,68E-03 0,377190495 0 1,53E-0519 GUAYABAL-ARMERO 1 6,32E-04 3,89E-03 0,540915458 2,84E-07 020 HERVEO 1 0 1 1 0 5,40E-2121 HONDA 1 7,80E-20 1 1 7,80E-24 022 IBAGUE 1 4,38E-05 9,41E-05 0 2,04E-08 023 ICONONZO 1 9,75E-19 1 1 0 024 LERIDA 1 2,10E-18 1 1 9,67E-22 025 LIBANO 1 0 1 1 0 026 MARIQUITA 1 5,34E-04 0 0 2,01E-07 027 MELGAR 1 0 1 1 0 028 MURILLO 1 7,79E-20 1 1 0 029 NATAGAIMA 1 0 1 1 0 030 ORTEGA 0,166666667 4,28E-19 0,166666667 0,166666667 0 031 PALOCABILDO0,379266152 4,22E-04 0 0,344790269 0 1,19E-0532 PIEDRAS 0,371873454 4,32E-04 0 0,35243077 0 1,22E-0533 PLANADAS 1 0 1 1 2,36E-22 034 PRADO 0,220454676 2,35E-04 0 0,176621009 1,66E-08 9,57E-0635 PURIFICACION1 0 1 1 0 036 RIOBLANCO 0,451191188 2,83E-04 4,52E-03 0,451191188 0 037 RONCESVALLES 0,475743912 5,50E-04 0 0,449270359 0 1,55E-0538 ROVIRA 0,331592502 2,20E-04 1,83E-03 0,257236705 0 1,04E-0539 SALDAÑA 0,144677631 1,15E-04 0 8,08E-02 0 6,65E-0640 SAN ANTONIO1 0 1 1 0 041 SAN LUIS 1 0 1 1 0 1,20E-2042 SANTA ISABEL1 0 1 1 0 043 SUAREZ 1 0 1 1 0 044 VALLE DE SAN 1JUAN0 1 1 0 045 VENADILLO 0,833134394 3,86E-04 2,38E-03 0,33093841 1,74E-07 046 VILLA HERMOSA 0,768149239 4,82E-04 7,70E-03 0,768149239 0 047 VILLA RICA 1 5,30E-19 1 1 2,02E-22 0


<strong>Model</strong> <strong>Name</strong> = <strong>BCC</strong>-I<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Cobertura de agua potable-<strong>BCC</strong>-I Dea <strong>Solver</strong> 1.xlsxNo. DMU ScoreI/O Data Projection Difference %1 ALPUJARRA 1Insumo 1 2384,558651 2384,558651 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 206893 3415106,864 3208213,864 999,90%Producto 2 2616 22921,55612 20305,55612 776,21%2 ALVARADO 0,428540551Insumo 1 2105,133406 902,1350306 -1202,998376 -57,15%Insumo 2 361 57,42254386 -303,5774561 -84,09%Producto 1 622080 622080 0 0,00%Producto 2 2580 2580 0 0,00%3 AMBALEMA 1Insumo 1 1595,243554 1595,243554 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 911347 1658394,18 747047,1796 81,97%Producto 2 6720 9068,214798 2348,214798 34,94%4 ANZOATEGUI 0,396032124Insumo 1 2472,455015 979,1716113 -1493,283404 -60,40%Insumo 2 97 38,41511603 -58,58488397 -60,40%Producto 1 449280 799902,6808 350622,6808 78,04%Producto 2 2180 2702,874485 522,8744845 23,99%5 ATACO 0,232703287Insumo 1 3687,155758 858,0132641 -2829,142494 -76,73%Insumo 2 361 46 -315 -87,26%Producto 1 473040 634176 161136 34,06%Producto 2 1244 1478 234 18,81%6 CAJAMARCA 0,376202031Insumo 1 3337,142164 1255,43966 -2081,702503 -62,38%Insumo 2 361 103,0768831 -257,9231169 -71,45%Producto 1 1576753 1576753 0 0,00%Producto 2 9200 9200 0 0,00%7 CARMEN DE APICALA 1Insumo 1 1933,861001 1933,861001 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 902016 2412026,749 1510010,749 167,40%Producto 2 6980 15011,32052 8031,320522 115,06%8 CASABIANCA 1Insumo 1 858,0132641 858,0132641 0 0,00%Insumo 2 46 46 0 0,00%Producto 1 634176 634176 0 0,00%Producto 2 1478 1478 0 0,00%9 CHAPARRAL 1Insumo 1 3276,555766 3276,555766 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 3188160 5400350,338 2212190,338 69,39%Producto 2 27073 38577,0789 11504,0789 42,49%10 COELLO 0,280684367Insumo 1 3094,971275 868,7100537 -2226,261221 -71,93%Insumo 2 181 50,14304405 -130,856956 -72,30%Producto 1 139968 566068,3332 426100,3332 304,43%Producto 2 1858 1858 0 0,00%11 COYAIMA 0,429404571


Insumo 1 2585,363569 1110,166933 -1475,196636 -57,06%Insumo 2 73 31,34653366 -41,65346634 -57,06%Producto 1 684000 980597,7851 296597,7851 43,36%Producto 2 4225 4225 0 0,00%12 CUNDAY 1Insumo 1 1863,742397 1863,742397 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 776000 2255969,627 1479969,627 190,72%Producto 2 2640 13780,66249 11140,66249 421,99%13 DOLORES 1Insumo 1 922,559944 922,559944 0 0,00%Insumo 2 71 71 0 0,00%Producto 1 223200 223200 0 0,00%Producto 2 3771 3771 0 0,00%14 ESPINAL 0,932701705Insumo 1 4709,849966 4392,885092 -316,9648744 -6,73%Insumo 2 21 19,5867358 -1,413264204 -6,73%Producto 1 8139540 8139540 0 0,00%Producto 2 55329 60379,21242 5050,212422 9,13%15 FALAN 0,441485135Insumo 1 2000,663777 883,2633173 -1117,40046 -55,85%Insumo 2 211 55,7797645 -155,2202355 -73,56%Producto 1 264384 473406,0602 209022,0602 79,06%Producto 2 2375 2375 0 0,00%16 FLANDES 1Insumo 1 2989,771848 2989,771848 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 3668311 3668311 0 0,00%Producto 2 38484 38484 0 0,00%17 FRESNO 0,904681034Insumo 1 1806,308787 1634,1333 -172,1754865 -9,53%Insumo 2 181 72,78384782 -108,2161522 -59,79%Producto 1 1880000 1880000 0 0,00%Producto 2 16010 16010 0 0,00%18 GUAMO 0,631055593Insumo 1 2926,60663 1846,851482 -1079,755147 -36,89%Insumo 2 21 13,25216745 -7,747832546 -36,89%Producto 1 1754945 2025723,049 270778,0494 15,43%Producto 2 16569 16569 0 0,00%19 GUAYABAL-ARMERO 1Insumo 1 1576,827902 1576,827902 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 1617408 1617408 0 0,00%Producto 2 8745 8745 0 0,00%20 HERVEO 1Insumo 1 1577,241912 1577,241912 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 315360 1618329,428 1302969,428 413,17%Producto 2 2365 8752,266328 6387,266328 270,07%21 HONDA 1Insumo 1 5030,832056 5030,832056 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 5375000 9304696,552 3929696,552 73,11%Producto 2 29624 69366,54221 39742,54221 134,16%22 IBAGUE 1Insumo 1 22833,79671 22833,79671 0 0,00%


Insumo 2 1 1 0 0,00%Producto 1 48927268 48927268 0 0,00%Producto 2 381828 381828 0 0,00%23 ICONONZO 1Insumo 1 3419,671463 3419,671463 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 783820 5718870,992 4935050,992 629,62%Producto 2 2942 41088,91557 38146,91557 999,90%24 LERIDA 1Insumo 1 1995,524641 1995,524641 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 2488320 2549266,36 60946,36027 2,45%Producto 2 15218 16093,58468 875,5846846 5,75%25 LIBANO 1Insumo 1 3629,537502 3629,537502 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 5045760 6185952,306 1140192,306 22,60%Producto 2 29766 44772,29358 15006,29358 50,41%26 MARIQUITA 1Insumo 1 1871,987147 1871,987147 0 0,00%Insumo 2 211 211 0 0,00%Producto 1 4982000 4982000 0 0,00%Producto 2 18795 18795 0 0,00%27 MELGAR 1Insumo 1 24654,87346 22833,79671 -1821,076747 -7,39%Insumo 2 1 1 0 0,00%Producto 1 3582200 48927268 45345068 999,90%Producto 2 26738 381828 355090 999,90%28 MURILLO 1Insumo 1 1696,96744 1696,96744 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 378432 1884792,536 1506360,536 398,05%Producto 2 1209 10853,58 9644,580002 797,73%29 NATAGAIMA 1Insumo 1 3021,688603 3021,688603 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 579948 4833113,781 4253165,781 733,37%Producto 2 13840 34103,88206 20263,88206 146,42%30 ORTEGA 0,166666667Insumo 1 14225,44986 2370,90831 -11854,54155 -83,33%Insumo 2 6 1 -5 -83,33%Producto 1 819936 3384726,439 2564790,439 312,80%Producto 2 6147 22681,97773 16534,97773 268,99%31 PALOCABILDO 0,379266152Insumo 1 2367,840557 898,0417765 -1469,798781 -62,07%Insumo 2 361 61,50370693 -299,4962931 -82,96%Producto 1 158775 379309,9416 220534,9416 138,90%Producto 2 2900 2900 0 0,00%32 PIEDRAS 0,371873454Insumo 1 2316,507103 861,4474966 -1455,059606 -62,81%Insumo 2 241 47,33013519 -193,6698648 -80,36%Producto 1 435156 612309,8543 177153,8543 40,71%Producto 2 1600 1600 0 0,00%33 PLANADAS 1Insumo 1 3014,91789 3014,91789 0 0,00%Insumo 2 1 1 0 0,00%


Producto 1 1072224 4818044,772 3745820,772 349,35%Producto 2 9136 33985,04866 24849,04866 271,99%34 PRADO 0,220454676Insumo 1 4262,695438 939,7311435 -3322,964295 -77,95%Insumo 2 601 68,75049344 -532,2495066 -88,56%Producto 1 536112 536112 0 0,00%Producto 2 3650 3650 0 0,00%35 PURIFICACION 1Insumo 1 10145,99456 10145,99456 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 1295850 20689086,49 19393236,49 999,90%Producto 2 13414 159143,2262 145729,2262 999,90%36 RIOBLANCO 0,451191188Insumo 1 3035,030834 1369,379166 -1665,651667 -54,88%Insumo 2 31 13,98692682 -17,01307318 -54,88%Producto 1 583200 1333648,844 750448,8438 128,68%Producto 2 4515 6647,755618 2132,755618 47,24%37 RONCESVALLES 0,475743912Insumo 1 1817,187282 864,5157862 -952,6714956 -52,43%Insumo 2 193 48,51853467 -144,4814653 -74,86%Producto 1 346896 592773,7078 245877,7078 70,88%Producto 2 1709 1709 0 0,00%38 ROVIRA 0,331592502Insumo 1 4239,804686 1405,887445 -2833,917241 -66,84%Insumo 2 37 12,26892258 -24,73107742 -66,84%Producto 1 839808 1384345,168 544537,1678 64,84%Producto 2 7116 7116 0 0,00%39 SALDAÑA 0,144677631Insumo 1 8711,741954 1260,394184 -7451,34777 -85,53%Insumo 2 641 69,9207183 -571,0792817 -89,09%Producto 1 663000 974134,4156 311134,4156 46,93%Producto 2 9600 9600 0 0,00%40 SAN ANTONIO 1Insumo 1 2004,648104 2004,648104 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 777600 2569571,69 1791971,69 230,45%Producto 2 6522 16253,71141 9731,711414 149,21%41 SAN LUIS 1Insumo 1 4316,431394 4316,431394 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 213450 7714714,669 7501264,669 999,90%Producto 2 5560 56828,03098 51268,03098 922,09%42 SANTA ISABEL 1Insumo 1 1654,613602 1654,613602 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 441504 1790529,135 1349025,135 305,55%Producto 2 3240 10110,22392 6870,223918 212,04%43 SUAREZ 1Insumo 1 1637,17231 1637,17231 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 167961 1751711,51 1583750,51 942,93%Producto 2 1811 9804,110224 7993,110224 441,36%44 VALLE DE SAN JUAN 1Insumo 1 1890,235908 1890,235908 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 528748 2314934,022 1786186,022 337,81%


Producto 2 2340 14245,65253 11905,65253 508,79%45 VENADILLO 0,833134394Insumo 1 2334,961918 1945,337083 -389,6248353 -16,69%Insumo 2 41 34,15851016 -6,841489844 -16,69%Producto 1 2891894 2891894 0 0,00%Producto 2 11510 19154,16608 7644,166084 66,41%46 VILLA HERMOSA 0,768149239Insumo 1 1817,97889 1396,479101 -421,499789 -23,19%Insumo 2 16 12,29038783 -3,709612175 -23,19%Producto 1 591300 1370717,542 779417,5422 131,81%Producto 2 3725 6921,727815 3196,727815 85,82%47 VILLA RICA 1Insumo 1 1685,369649 1685,369649 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 1026432 1858980,3 832548,3004 81,11%Producto 2 1215 10650,02611 9435,026109 776,55%


MunicipioDMUSALDAÑAPRADOCOELLOPIEDRASPALOCABILDOALVARADOFALANRONCESVALLESVILLA HERMOSAFRESNOMARIQUITALERIDAIBAGUEHERVEOMELGARFLANDESPLANADASCUNDAYSAN ANTONIOCASABIANCASAN LUISSUAREZVALLE DE SAN JUANVILLA RICA0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


MunicipioDMUVILLA RICAVENADILLOSUAREZSAN LUISSALDAÑARONCESVALLESPURIFICACIONPLANADASPALOCABILDONATAGAIMAMELGARLIBANOICONONZOHONDAGUAYABAL-ARMEROFRESNOFALANDOLORESCOYAIMACHAPARRALCARMEN DE APICALAATACOAMBALEMAALPUJARRA0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


<strong>Model</strong> <strong>Name</strong> = <strong>BCC</strong>-I<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Cobertura de agua potable-<strong>BCC</strong>-I Dea <strong>Solver</strong> 1.xlsxNo. DMU Score Rank Reference set (lambda)1 ALPUJARRA 1 1 GUAYABAL-ARMERO 0,962001603 IBAGUE 3,80E-022 ALVARADO 0,428540551 37 CASABIANCA 0,682442305 DOLORES 0,292674827 MARIQUITA 2,49E-023 AMBALEMA 1 1 GUAYABAL-ARMERO 0,999133665 IBAGUE 8,66E-044 ANZOATEGUI 0,396032124 38 CASABIANCA 0,831447023 GUAYABAL-ARMERO 0,1685529775 ATACO 0,232703287 44 CASABIANCA 16 CAJAMARCA 0,376202031 40 DOLORES 0,76315047 IBAGUE 5,15E-03 MARIQUITA 0,2316969067 CARMEN DE APICALA 1 1 GUAYABAL-ARMERO 0,983203951 IBAGUE 1,68E-028 CASABIANCA 1 1 CASABIANCA 19 CHAPARRAL 1 1 GUAYABAL-ARMERO 0,920039029 IBAGUE 0,07996097110 COELLO 0,280684367 43 CASABIANCA 0,834278238 DOLORES 0,16572176211 COYAIMA 0,429404571 36 CASABIANCA 0,674367415 FLANDES 1,28E-02 GUAYABAL-ARMERO 0,31283363412 CUNDAY 1 1 GUAYABAL-ARMERO 0,986502568 IBAGUE 1,35E-0213 DOLORES 1 1 DOLORES 114 ESPINAL 0,932701705 28 CASABIANCA 0,413038573 GUAYABAL-ARMERO 0,440517435 IBAGUE 0,14644399215 FALAN 0,441485135 35 CASABIANCA 0,60880942 DOLORES 0,3911905816 FLANDES 1 1 FLANDES 117 FRESNO 0,904681034 29 DOLORES 0,940388924 IBAGUE 3,12E-02 MARIQUITA 2,84E-0218 GUAMO 0,631055593 32 CASABIANCA 0,272270388 FLANDES 0,329620663 GUAYABAL-ARMERO 0,39810894919 GUAYABAL-ARMERO 1 1 GUAYABAL-ARMERO 120 HERVEO 1 1 GUAYABAL-ARMERO 0,999980524 IBAGUE 1,95E-0521 HONDA 1 1 GUAYABAL-ARMERO 0,837511915 IBAGUE 0,16248808522 IBAGUE 1 1 IBAGUE 123 ICONONZO 1 1 GUAYABAL-ARMERO 0,913306381 IBAGUE 8,67E-0224 LERIDA 1 1 GUAYABAL-ARMERO 0,980303084 IBAGUE 1,97E-0225 LIBANO 1 1 GUAYABAL-ARMERO 0,90343357 IBAGUE 0,0965664326 MARIQUITA 1 1 MARIQUITA 127 MELGAR 1 1 IBAGUE 128 MURILLO 1 1 GUAYABAL-ARMERO 0,994348228 IBAGUE 5,65E-0329 NATAGAIMA 1 1 GUAYABAL-ARMERO 0,932028846 IBAGUE 6,80E-0230 ORTEGA 0,166666667 46 GUAYABAL-ARMERO 0,962643761 IBAGUE 3,74E-0231 PALOCABILDO0,379266152 39 CASABIANCA 0,379851723 DOLORES 0,62014827732 PIEDRAS 0,371873454 41 CASABIANCA 0,946794592 DOLORES 5,32E-0233 PLANADAS 1 1 GUAYABAL-ARMERO 0,932347363 IBAGUE 0,06765263734 PRADO 0,220454676 45 CASABIANCA 0,308841819 DOLORES 0,65207576 MARIQUITA 0,03908242135 PURIFICACION1 1 GUAYABAL-ARMERO 0,5968773 IBAGUE 0,403122736 RIOBLANCO 0,451191188 34 CASABIANCA 0,288598374 GUAYABAL-ARMERO 0,71140162637 RONCESVALLES 0,475743912 33 CASABIANCA 0,899258613 DOLORES 0,10074138738 ROVIRA 0,331592502 42 CASABIANCA 0,250420502 FLANDES 6,42E-03 GUAYABAL-ARMERO 0,74316348639 SALDAÑA 0,144677631 47 DOLORES 0,98458169 IBAGUE 1,54E-0240 SAN ANTONIO1 1 GUAYABAL-ARMERO 0,979873885 IBAGUE 2,01E-0241 SAN LUIS 1 1 GUAYABAL-ARMERO 0,871119748 IBAGUE 0,12888025242 SANTA ISABEL1 1 GUAYABAL-ARMERO 0,996340697 IBAGUE 3,66E-0343 SUAREZ 1 1 GUAYABAL-ARMERO 0,997161194 IBAGUE 2,84E-0344 VALLE DE SAN 1JUAN1 GUAYABAL-ARMERO 0,985256223 IBAGUE 1,47E-0245 VENADILLO 0,833134394 30 CASABIANCA 0,736855781 GUAYABAL-ARMERO 0,220891162 IBAGUE 4,23E-0246 VILLA HERMOSA 0,768149239 31 CASABIANCA 0,250897507 GUAYABAL-ARMERO 0,74910249347 VILLA RICA 1 1 GUAYABAL-ARMERO 0,994893828 IBAGUE 5,11E-03


In Rank orderRankDMU Score1 VILLA RICA 11 ALPUJARRA 11 VALLE DE SAN 1JUAN1 AMBALEMA 11 SUAREZ 11 SANTA ISABEL11 SAN LUIS 11 CARMEN DE APICALA 11 CASABIANCA 11 CHAPARRAL 11 SAN ANTONIO11 PURIFICACION11 CUNDAY 11 DOLORES 11 PLANADAS 11 NATAGAIMA 11 FLANDES 11 MURILLO 11 MELGAR 11 GUAYABAL-ARMERO 11 HERVEO 11 HONDA 11 IBAGUE 11 ICONONZO 11 LERIDA 11 LIBANO 11 MARIQUITA 128 ESPINAL 0,93270170529 FRESNO 0,90468103430 VENADILLO 0,83313439431 VILLA HERMOSA 0,76814923932 GUAMO 0,63105559333 RONCESVALLES 0,47574391234 RIOBLANCO 0,45119118835 FALAN 0,44148513536 COYAIMA 0,42940457137 ALVARADO 0,42854055138 ANZOATEGUI 0,39603212439 PALOCABILDO0,37926615240 CAJAMARCA 0,37620203141 PIEDRAS 0,37187345442 ROVIRA 0,33159250243 COELLO 0,28068436744 ATACO 0,23270328745 PRADO 0,22045467646 ORTEGA 0,16666666747 SALDAÑA 0,144677631


<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Cobertura de agua potable-<strong>BCC</strong>-I Dea <strong>Solver</strong> 1.xlsxData File = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Cobertura de agua potable-<strong>BCC</strong>-I.xlsxDatos<strong>DEA</strong> model = <strong>BCC</strong>-IProblem = MunicipioNo. of DMUs = 47No. of Input items = 2Input(1) = Insumo 1Input(2) = Insumo 2No. of Output items = 2Output(1) = Producto 1Output(2) = Producto 2Returns to Scale = Variable (Sum of Lambda = 1)Statistics on Input/Output DataInsumo 1 Insumo 2 Producto 1 Producto 2Max 24654,87346 641 48927268 381828Min 858,0132641 1 139968 1209Average 3985,90399 93,36170213 2424669,255 17619,40426SD 4786,067298 157,1483139 7054769,966 54837,42689CorrelationInsumo 1 Insumo 2 Producto 1 Producto 2Insumo 1 1 -0,037211303 0,60674822 0,617237238Insumo 2 -0,037211303 1 -0,126919101 -0,125484204Producto 1 0,60674822 -0,126919101 1 0,995915772Producto 2 0,617237238 -0,125484204 0,995915772 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 47Average 0,77013277SD 0,306261495Maximum 1Minimum 0,144677631Frequency in Reference SetPeer set Frequency to other DMUsCASABIANCA 15DOLORES 9FLANDES 2GUAYABAL-ARMERO 28IBAGUE 26MARIQUITA 3No. of DMUs in Data = 47No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 47Average of scores = 0,77013277No. of efficient DMUs = 6No. of inefficient DMUs = 41No. of over iteration DMUs = 0[<strong>BCC</strong>-I] LP started at 07-15-2008 09:51:24 and completed at 07-15-2008 09:51:25Elapsed time = 0 secondsTotal number of simplex iterations = 375


er 1.xlsx


Municipio (I) Insumo 1 (I) Insumo 2 (O) Producto 1 (O) Producto 2ALPUJARRA 2384,56 1 206893 2616ALVARADO 2105,13 361 622080 2580AMBALEMA 1595,24 1 911347 6720ANZOATEGUI 2472,46 97 449280 2180ATACO 3687,16 361 473040 1244CAJAMARCA 3337,14 361 1576753 9200CARMEN DE APICALA 1933,86 1 902016 6980CASABIANCA 858,01 46 634176 1478CHAPARRAL 3276,56 1 3188160 27073COELLO 3094,97 181 139968 1858COYAIMA 2585,36 73 684000 4225CUNDAY 1863,74 1 776000 2640DOLORES 922,56 71 223200 3771ESPINAL 4709,85 21 8139540 55329FALAN 2000,66 211 264384 2375FLANDES 2989,77 1 3668311 38484FRESNO 1806,31 181 1880000 16010GUAMO 2926,61 21 1754945 16569GUAYABAL-ARMERO 1576,83 1 1617408 8745HERVEO 1577,24 1 315360 2365HONDA 5030,83 1 5375000 29624IBAGUE 22833,80 1 48927268 381828ICONONZO 3419,67 1 783820 2942LERIDA 1995,52 1 2488320 15218LIBANO 3629,54 1 5045760 29766MARIQUITA 1871,99 211 4982000 18795MELGAR 24654,87 1 3582200 26738MURILLO 1696,97 1 378432 1209NATAGAIMA 3021,69 1 579948 13840ORTEGA 14225,45 6 819936 6147PALOCABILDO 2367,84 361 158775 2900PIEDRAS 2316,51 241 435156 1600PLANADAS 3014,92 1 1072224 9136PRADO 4262,70 601 536112 3650PURIFICACION 10145,99 1 1295850 13414RIOBLANCO 3035,03 31 583200 4515RONCESVALLES 1817,19 193 346896 1709ROVIRA 4239,80 37 839808 7116SALDAÑA 8711,74 641 663000 9600SAN ANTONIO 2004,65 1 777600 6522SAN LUIS 4316,43 1 213450 5560SANTA ISABEL 1654,61 1 441504 3240SUAREZ 1637,17 1 167961 1811VALLE DE SAN JUAN 1890,24 1 528748 2340VENADILLO 2334,96 41 2891894 11510VILLA HERMOSA 1817,98 16 591300 3725VILLA RICA 1685,37 1 1026432 121560000000500000004000000030000000200000001000000004500004000003500003000002500002000001500001000005000006000000050000000400000003000000020000000100000004500004000003500003000002500002000001500001000005000000 5000 10000 15000 20000 25000 300000 5000 10000 15000 20000 25000 3000000 100 200 300 400 500 600 7000 100 200 300 400 500 600 700700600450000400000350000


50040030020010000 5000 10000 15000 20000 25000 300003500003000002500002000001500001000005000000 20000000 40000000 60000000


No. Municipio CCR (ETP) <strong>BCC</strong> (ETP) ETP>ETG EE Rank1 ALPUJARRA 0,065605 1,000000 0,934395 0,065605 13 AMBALEMA 0,266281 1,000000 0,733719 0,266281 17 CARMEN DE APICALA 0,217458 1,000000 0,782542 0,217458 18 CASABIANCA 0,309345 1,000000 0,690655 0,309345 19 CHAPARRAL 0,494116 1,000000 0,505884 0,494116 112 CUNDAY 0,194108 1,000000 0,805892 0,194108 113 DOLORES 0,244440 1,000000 0,755560 0,244440 116 FLANDES 0,769755 1,000000 0,230245 0,769755 119 GUAYABAL-ARMERO 0,478093 1,000000 0,521907 0,478093 120 HERVEO 0,093193 1,000000 0,906807 0,093193 121 HONDA 0,498450 1,000000 0,501550 0,498450 122 IBAGUE 1,000000 1,000000 0,000000 1,000000 123 ICONONZO 0,106912 1,000000 0,893088 0,106912 124 LERIDA 0,581366 1,000000 0,418634 0,581366 125 LIBANO 0,648465 1,000000 0,351535 0,648465 126 MARIQUITA 1,000000 1,000000 0,000000 1,000000 127 MELGAR 0,073215 1,000000 0,926785 0,073215 128 MURILLO 0,103952 1,000000 0,896048 0,103952 129 NATAGAIMA 0,273903 1,000000 0,726097 0,273903 133 PLANADAS 0,181214 1,000000 0,818786 0,181214 135 PURIFICACION 0,079063 1,000000 0,920937 0,079063 140 SAN ANTONIO 0,194560 1,000000 0,805440 0,194560 141 SAN LUIS 0,077030 1,000000 0,922970 0,077030 142 SANTA ISABEL 0,124378 1,000000 0,875622 0,124378 143 SUAREZ 0,066151 1,000000 0,933849 0,066151 144 VALLE DE SAN JUAN 0,130409 1,000000 0,869591 0,130409 147 VILLA RICA 0,283890 1,000000 0,716110 0,283890 114 ESPINAL 0,798952 0,932702 0,133750 0,856600 2817 FRESNO 0,530041 0,904681 0,374640 0,585887 2945 VENADILLO 0,557045 0,833134 0,276090 0,668613 3046 VILLA HERMOSA 0,148989 0,768149 0,619161 0,193958 3118 GUAMO 0,338565 0,631056 0,292490 0,536506 3237 RONCESVALLES 0,076699 0,475744 0,399045 0,161219 3336 RIOBLANCO 0,089407 0,451191 0,361784 0,198159 3415 FALAN 0,070990 0,441485 0,370495 0,160799 3511 COYAIMA 0,116420 0,429405 0,312985 0,271120 362 ALVARADO 0,113535 0,428541 0,315006 0,264934 374 ANZOATEGUI 0,078220 0,396032 0,317813 0,197508 3831 PALOCABILDO 0,073241 0,379266 0,306025 0,193113 396 CAJAMARCA 0,199516 0,376202 0,176686 0,530342 4032 PIEDRAS 0,071660 0,371873 0,300213 0,192701 4138 ROVIRA 0,100369 0,331593 0,231223 0,302688 4210 COELLO 0,035900 0,280684 0,244784 0,127903 435 ATACO 0,049473 0,232703 0,183230 0,212603 4434 PRADO 0,055870 0,220455 0,164585 0,253430 4530 ORTEGA 0,026877 0,166667 0,139789 0,161265 4639 SALDAÑA 0,065899 0,144678 0,078779 0,455486 47Municipios EficientesMunicipios Eficientes (%)PromedioDesviación EstándarValor MínimoValor MáximoMunicipios IneficientesMunicipios Ineficientes (%)2 6 24,26 12,77 4,260,258575 0,770133 0,3208550,257376 0,309573 0,2463120,026877 0,144678 0,0656051,000000 1,000000 1,00000045 41 4595,74 87,23 95,74


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-I)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Cobertura de agua potable-<strong>BCC</strong>-I.xlsxNo. DMU Score RTS RTS of Projected DMU RTS Efficient Projected Total1 ALPUJARRA 1 Increasing No. of IRS 6 38 442 ALVARADO 0,428536975 Increasing No. of CRS 2 0 23 AMBALEMA 1 Increasing No. of DRS 0 1 14 ANZOATEGUI 0,396028164 Increasing Total 8 39 475 ATACO 0,23270096 Increasing6 CAJAMARCA 0,3761999 Increasing7 CARMEN DE APICALA 1 Increasing8 CASABIANCA 1 Increasing9 CHAPARRAL 1 Increasing10 COELLO 0,280681729 Increasing11 COYAIMA 0,429400906 Increasing12 CUNDAY 1 Increasing13 DOLORES 1 Increasing14 ESPINAL 0,932699935 Increasing15 FALAN 0,441481054 Increasing16 FLANDES 1 Increasing17 FRESNO 0,904677096 Increasing18 GUAMO 0,631051821 Increasing19 GUAYABAL-ARMERO 1 Increasing20 HERVEO 1 Increasing21 HONDA 1 Increasing22 IBAGUE 1 Constant23 ICONONZO 1 Increasing24 LERIDA 1 Increasing25 LIBANO 1 Increasing26 MARIQUITA 1 Constant27 MELGAR 1 Decreasing28 MURILLO 1 Increasing29 NATAGAIMA 1 Increasing30 ORTEGA 0,166665 Increasing31 PALOCABILDO0,379262704 Increasing32 PIEDRAS 0,371869929 Increasing33 PLANADAS 1 Increasing34 PRADO 0,22045291 Increasing35 PURIFICACION1 Increasing36 RIOBLANCO 0,451186676 Increasing37 RONCESVALLES 0,475739419 Increasing38 ROVIRA 0,33158993 Increasing39 SALDAÑA 0,144676822 Increasing40 SAN ANTONIO1 Increasing41 SAN LUIS 1 Increasing42 SANTA ISABEL1 Increasing43 SUAREZ 1 Increasing44 VALLE DE SAN 1JUANIncreasing45 VENADILLO 0,833131085 Increasing46 VILLA HERMOSA 0,768141558 Increasing47 VILLA RICA 1 Increasing


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-I) Returns to Scale = Variable (Sum of Lambda = 1)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Cobertura de agua potable-<strong>BCC</strong>-I.xlsxExcess Excess Shortage ShortageNo. DMU Score Insumo 1 Insumo 2 Producto 1 Producto 2S-(1) S-(2) S+(1) S+(2)1 ALPUJARRA 1 0 0 0 02 ALVARADO 0,428536975 0 97,27963168 0 03 AMBALEMA 1 0 0 747030,5957 2348,1241164 ANZOATEGUI 0,396028164 0 0 350614,6817 522,84745585 ATACO 0,23270096 0 38,00550651 161129,6582 233,985226 CAJAMARCA 0,3761999 0 32,73213046 0 07 CARMEN DE APICALA 1 0 0 0 08 CASABIANCA 1 0 0 0 2,29E-029 CHAPARRAL 1 0 0 2212136,334 11503,6931310 COELLO 0,280681729 0 0,660647817 426091,3424 011 COYAIMA 0,429400906 0 0 296590,4009 012 CUNDAY 1 0 0 1479947,067 11140,5246813 DOLORES 1 0 0 2,626078026 014 ESPINAL 0,932699935 0 0 0 5050,25222615 FALAN 0,441481054 0 37,37303677 209013,0694 016 FLANDES 1 0 0 0 017 FRESNO 0,904677096 0 90,96355628 0 018 GUAMO 0,631051821 0 0 270768,6476 019 GUAYABAL-ARMERO 1 0 0 0 020 HERVEO 1 0 0 1302953,244 6387,17880521 HONDA 1 0 0 3929603,505 39741,8485422 IBAGUE 1 0 0 0 023 ICONONZO 1 0 0 4934993,803 38146,5046824 LERIDA 1 0 0 60920,86761 875,423748725 LIBANO 1 0 0 1140130,446 15005,8458526 MARIQUITA 1 0 0 0 027 MELGAR 1 1821,058536 0 45344578,73 355086,181728 MURILLO 1 0 0 1506341,688 9644,47146629 NATAGAIMA 1 0 0 4253117,45 20263,5410230 ORTEGA 0,166665 0 0 1950060,365 19311,1878231 PALOCABILDO0,379262704 0 75,41042808 220525,9508 032 PIEDRAS 0,371869929 0 42,29081662 177144,8635 033 PLANADAS 1 0 0 3745772,591 24848,7088134 PRADO 0,22045291 0 63,74203318 0 035 PURIFICACION1 0 0 19393029,6 145727,634836 RIOBLANCO 0,451186676 0 0 750435,5073 2132,68914137 RONCESVALLES 0,475739419 0 43,2994721 245868,717 038 ROVIRA 0,33158993 0 0 544527,937 039 SALDAÑA 0,144676822 0 22,81784184 311137,0417 040 SAN ANTONIO1 0 0 1791945,994 9731,54887741 SAN LUIS 1 0 0 7501187,521 51267,462742 SANTA ISABEL1 0 0 1349007,23 6870,12281543 SUAREZ 1 0 0 1583732,993 7993,01218344 VALLE DE SAN 1JUAN0 0 1786162,873 11905,5100745 VENADILLO 0,833131085 0 0 0 7644,20482246 VILLA HERMOSA 0,768141558 0 0 779403,835 3196,65859847 VILLA RICA 1 0 0 832529,7105 9434,919609


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-I) Returns to Scale = Variable (Sum of Lambda = 1)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Cobertura de agua potable-<strong>BCC</strong>-I.xlsxNo. DMU Score VX(1) Insumo 1VX(2) Insumo 2UY(0) UY(1) Producto 1UY(2) Producto 21 ALPUJARRA 1 0 1 0,99999 0 02 ALVARADO 0,428536975 1 0 0,35763721 2,09E-02 5,00E-023 AMBALEMA 1 0 1 0,99999 0 04 ANZOATEGUI 0,396028164 0,614748024 0,385251976 0,396028164 0 05 ATACO 0,23270096 1 0 0,23270096 0 06 CAJAMARCA 0,3761999 1 0 0,213150321 1,32E-02 0,1498833237 CARMEN DE APICALA 1 0 1 0,99999 0 08 CASABIANCA 1 0,765767818 0,234232182 0,74544522 0,254547326 09 CHAPARRAL 1 0 1 0,99999 0 010 COELLO 0,280681729 1 0 0,26378281 0 1,69E-0211 COYAIMA 0,429400906 0,810117845 0,189882155 0,36650073 0 6,29E-0212 CUNDAY 1 0 1 0,99999 0 013 DOLORES 1 1 0 0,763088831 0 0,23690353814 ESPINAL 0,932699935 0,973283849 2,67E-02 0,176943284 0,755756651 015 FALAN 0,441481054 1 0 0,408064677 0 3,34E-0216 FLANDES 1 0,99970896 2,91E-04 0,256266166 0 0,74373127117 FRESNO 0,904677096 1 0 0,393793646 2,90E-02 0,481880718 GUAMO 0,631051821 0,943783715 5,62E-02 0,377186723 0 0,25386509819 GUAYABAL-ARMERO 1 0,996110932 3,89E-03 0,540910049 0,459084542 020 HERVEO 1 0 1 0,99999 0 021 HONDA 1 0 1 0,99999 0 022 IBAGUE 1 0,999905928 9,41E-05 0 1 023 ICONONZO 1 0 1 0,99999 0 024 LERIDA 1 0 1 0,99999 0 025 LIBANO 1 0 1 0,99999 0 026 MARIQUITA 1 1 0 0 1 027 MELGAR 1 0 1 0,99999 0 028 MURILLO 1 0 1 0,99999 0 029 NATAGAIMA 1 0 1 0,99999 0 030 ORTEGA 0,166665 0 1 0,166665 0 031 PALOCABILDO0,379262704 1 0 0,344786821 0 3,45E-0232 PIEDRAS 0,371869929 1 0 0,352427246 0 1,94E-0233 PLANADAS 1 0 1 0,99999 0 034 PRADO 0,22045291 1 0 0,176619242 8,89E-03 3,49E-0235 PURIFICACION1 0 1 0,99999 0 036 RIOBLANCO 0,451186676 0,859729925 0,140270075 0,451186676 0 037 RONCESVALLES 0,475739419 1 0 0,449265866 0 2,65E-0238 ROVIRA 0,33158993 0,932451336 0,067548664 0,257234132 0 0,07435579839 SALDAÑA 0,144676822 1 0 8,08E-02 0 6,39E-0240 SAN ANTONIO1 0 1 0,99999 0 041 SAN LUIS 1 0 1 0,99999 0 042 SANTA ISABEL1 0 1 0,99999 0 043 SUAREZ 1 0 1 0,99999 0 044 VALLE DE SAN 1JUAN0 1 0,99999 0 045 VENADILLO 0,833131085 0,902445523 9,76E-02 0,3309351 0,502195984 046 VILLA HERMOSA 0,768141558 0,876743931 0,123256069 0,768141558 0 047 VILLA RICA 1 0 1 0,99999 0 0


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-I) Returns to Scale = Variable (Sum of Lambda = 1)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Cobertura de agua potable-<strong>BCC</strong>-I.xlsxNo. DMU Score V(1) Insumo 1 V(2) Insumo 2 U(0) U(1) Producto 1U(2) Producto 21 ALPUJARRA 1 0 1 1 0 02 ALVARADO 0,428536975 4,75E-04 0 0,357640787 0 1,94E-053 AMBALEMA 1 0 1 1 0 04 ANZOATEGUI 0,396028164 2,49E-04 3,97E-03 0,396032124 0 05 ATACO 0,23270096 2,71E-04 0 0,232703287 0 06 CAJAMARCA 0,3761999 3,00E-04 0 0,213152452 0 1,63E-057 CARMEN DE APICALA 1 0 1 1 0 08 CASABIANCA 1 8,92E-04 5,09E-03 0,745452674 0 09 CHAPARRAL 1 0 1 1 0 010 COELLO 0,280681729 3,23E-04 0 0,263785448 0 011 COYAIMA 0,429400906 3,13E-04 2,60E-03 0,366504395 0 1,49E-0512 CUNDAY 1 0 1 1 0 013 DOLORES 1 1,08E-03 0 0,763096462 0 6,28E-0514 ESPINAL 0,932699935 2,07E-04 1,27E-03 0,176945054 0 015 FALAN 0,441481054 5,00E-04 0 0,408068758 0 1,41E-0516 FLANDES 1 3,34E-04 2,91E-04 0,256268729 0 1,93E-0517 FRESNO 0,904677096 5,54E-04 0 0,393797584 0 3,01E-0518 GUAMO 0,631051821 3,22E-04 2,68E-03 0,377190495 0 1,53E-0519 GUAYABAL-ARMERO 1 6,32E-04 3,89E-03 0,540915458 0 020 HERVEO 1 0 1 1 0 021 HONDA 1 0 1 1 0 022 IBAGUE 1 4,38E-05 9,41E-05 0 0 023 ICONONZO 1 0 1 1 0 024 LERIDA 1 0 1 1 0 025 LIBANO 1 0 1 1 0 026 MARIQUITA 1 5,34E-04 0 0 0 027 MELGAR 1 0 1 1 0 028 MURILLO 1 0 1 1 0 029 NATAGAIMA 1 0 1 1 0 030 ORTEGA 0,166665 0 0,166666667 0,166666667 0 031 PALOCABILDO0,379262704 4,22E-04 0 0,344790269 0 1,19E-0532 PIEDRAS 0,371869929 4,32E-04 0 0,35243077 0 1,22E-0533 PLANADAS 1 0 1 1 0 034 PRADO 0,22045291 2,35E-04 0 0,176621009 0 035 PURIFICACION1 0 1 1 0 036 RIOBLANCO 0,451186676 2,83E-04 4,52E-03 0,451191188 0 037 RONCESVALLES 0,475739419 5,50E-04 0 0,449270359 0 1,55E-0538 ROVIRA 0,33158993 2,20E-04 1,83E-03 0,257236705 0 1,04E-0539 SALDAÑA 0,144676822 1,15E-04 0 8,08E-02 0 040 SAN ANTONIO1 0 1 1 0 041 SAN LUIS 1 0 1 1 0 042 SANTA ISABEL1 0 1 1 0 043 SUAREZ 1 0 1 1 0 044 VALLE DE SAN 1JUAN0 1 1 0 045 VENADILLO 0,833131085 3,86E-04 2,38E-03 0,33093841 0 046 VILLA HERMOSA 0,768141558 4,82E-04 7,70E-03 0,768149239 0 047 VILLA RICA 1 0 1 1 0 0


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-I) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU ScoreI/O Data Projection Difference %1 ALPUJARRA 1Insumo 1 2384,558651 2384,558651 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 206893 206893 0 0,00%Producto 2 2616 2616 0 0,00%2 ALVARADO 0,428536975Insumo 1 2105,133406 902,1275018 -1203,005904 -57,15%Insumo 2 361 57,42221629 -303,5777837 -84,09%Producto 1 622080 622080 0 0,00%Producto 2 2580 2580 0 0,00%3 AMBALEMA 1Insumo 1 1595,243554 1595,243554 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 911347 1658377,596 747030,5957 81,97%Producto 2 6720 9068,124116 2348,124116 34,94%4 ANZOATEGUI 0,396028164Insumo 1 2472,455015 979,1618196 -1493,293196 -60,40%Insumo 2 97 38,41473188 -58,58526812 -60,40%Producto 1 449280 799894,6817 350614,6817 78,04%Producto 2 2180 2702,847456 522,8474558 23,98%5 ATACO 0,23270096Insumo 1 3687,155758 858,004684 -2829,151074 -76,73%Insumo 2 361 45,99954 -315,00046 -87,26%Producto 1 473040 634169,6582 161129,6582 34,06%Producto 2 1244 1477,98522 233,98522 18,81%6 CAJAMARCA 0,3761999Insumo 1 3337,142164 1255,432547 -2081,709616 -62,38%Insumo 2 361 103,0760333 -257,9239667 -71,45%Producto 1 1576753 1576753 0 0,00%Producto 2 9200 9200 0 0,00%7 CARMEN DE APICALA 1Insumo 1 1933,861001 1933,861001 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 902016 902016 0 0,00%Producto 2 6980 6980 0 0,00%8 CASABIANCA 1Insumo 1 858,0132641 858,0132641 0 0,00%Insumo 2 46 46 0 0,00%Producto 1 634176 634176 0 0,00%Producto 2 1478 1478,022852 2,29E-02 0,00%9 CHAPARRAL 1Insumo 1 3276,555766 3276,555766 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 3188160 5400296,334 2212136,334 69,39%Producto 2 27073 38576,69313 11503,69313 42,49%10 COELLO 0,280681729Insumo 1 3094,971275 868,7018896 -2226,269385 -71,93%Insumo 2 181 50,14274519 -130,8572548 -72,30%Producto 1 139968 566059,3424 426091,3424 304,42%Producto 2 1858 1858 0 0,00%11 COYAIMA 0,429400906Insumo 1 2585,363569 1110,157458 -1475,206111 -57,06%Insumo 2 73 31,34626611 -41,65373389 -57,06%Producto 1 684000 980590,4009 296590,4009 43,36%Producto 2 4225 4225 0 0,00%12 CUNDAY 1Insumo 1 1863,742397 1863,742397 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 776000 2255947,067 1479947,067 190,71%Producto 2 2640 13780,52468 11140,52468 421,99%13 DOLORES 1Insumo 1 922,559944 922,559944 0 0,00%Insumo 2 71 71 0 0,00%Producto 1 223200 223202,6261 2,626078026 0,00%Producto 2 3771 3771 0 0,00%14 ESPINAL 0,932699935Insumo 1 4709,849966 4392,876758 -316,9732083 -6,73%Insumo 2 21 19,58669864 -1,413301362 -6,73%Producto 1 8139540 8139540 0 0,00%Producto 2 55329 60379,25223 5050,252226 9,13%15 FALAN 0,441481054Insumo 1 2000,663777 883,2551532 -1117,408624 -55,85%Insumo 2 211 55,77946564 -155,2205344 -73,56%Producto 1 264384 473397,0694 209013,0694 79,06%Producto 2 2375 2375 0 0,00%16 FLANDES 1Insumo 1 2989,771848 2989,771848 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 3668311 3668311 0 0,00%Producto 2 38484 38484 0 0,00%


17 FRESNO 0,904677096Insumo 1 1806,308787 1634,126187 -172,1825997 -9,53%Insumo 2 181 72,78299803 -108,217002 -59,79%Producto 1 1880000 1880000 0 0,00%Producto 2 16010 16010 0 0,00%18 GUAMO 0,631051821Insumo 1 2926,60663 1846,840443 -1079,766186 -36,89%Insumo 2 21 13,25208824 -7,747911756 -36,89%Producto 1 1754945 2025713,648 270768,6476 15,43%Producto 2 16569 16569 0 0,00%19 GUAYABAL-ARMERO 1Insumo 1 1576,827902 1576,827902 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 1617408 1617408 0 0,00%Producto 2 8745 8745 0 0,00%20 HERVEO 1Insumo 1 1577,241912 1577,241912 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 315360 1618313,244 1302953,244 413,16%Producto 2 2365 8752,178805 6387,178805 270,07%21 HONDA 1Insumo 1 5030,832056 5030,832056 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 5375000 9304603,505 3929603,505 73,11%Producto 2 29624 69365,84854 39741,84854 134,15%22 IBAGUE 1Insumo 1 22833,79671 22833,79671 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 48927268 48927268 0 0,00%Producto 2 381828 381828 0 0,00%23 ICONONZO 1Insumo 1 3419,671463 3419,671463 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 783820 5718813,803 4934993,803 629,61%Producto 2 2942 41088,50468 38146,50468 999,90%24 LERIDA 1Insumo 1 1995,524641 1995,524641 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 2488320 2549240,868 60920,86761 2,45%Producto 2 15218 16093,42375 875,4237487 5,75%25 LIBANO 1Insumo 1 3629,537502 3629,537502 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 5045760 6185890,446 1140130,446 22,60%Producto 2 29766 44771,84585 15005,84585 50,41%26 MARIQUITA 1Insumo 1 1871,987147 1871,987147 0 0,00%Insumo 2 211 211 0 0,00%Producto 1 4982000 4982000 0 0,00%Producto 2 18795 18795 0 0,00%27 MELGAR 1Insumo 1 24654,87346 22833,81492 -1821,058536 -7,39%Insumo 2 1 1 0 0,00%Producto 1 3582200 48926778,73 45344578,73 999,90%Producto 2 26738 381824,1817 355086,1817 999,90%28 MURILLO 1Insumo 1 1696,96744 1696,96744 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 378432 1884773,688 1506341,688 398,05%Producto 2 1209 10853,47147 9644,471466 797,72%29 NATAGAIMA 1Insumo 1 3021,688603 3021,688603 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 579948 4833065,45 4253117,45 733,36%Producto 2 13840 34103,54102 20263,54102 146,41%30 ORTEGA 0,166665Insumo 1 14225,44986 2370,884601 -11854,56526 -83,33%Insumo 2 6 0,99999 -5,00001 -83,33%Producto 1 819936 2769996,365 1950060,365 237,83%Producto 2 6147 25458,18782 19311,18782 314,16%31 PALOCABILDO0,379262704Insumo 1 2367,840557 898,0336124 -1469,806945 -62,07%Insumo 2 361 61,50340808 -299,4965919 -82,96%Producto 1 158775 379300,9508 220525,9508 138,89%Producto 2 2900 2900 0 0,00%32 PIEDRAS 0,371869929Insumo 1 2316,507103 861,4393325 -1455,06777 -62,81%Insumo 2 241 47,32983634 -193,6701637 -80,36%Producto 1 435156 612300,8635 177144,8635 40,71%Producto 2 1600 1600 0 0,00%33 PLANADAS 1Insumo 1 3014,91789 3014,91789 0 0,00%Insumo 2 1 1 0 0,00%


Producto 1 1072224 4817996,591 3745772,591 349,35%Producto 2 9136 33984,70881 24848,70881 271,99%34 PRADO 0,22045291Insumo 1 4262,695438 939,7236147 -3322,971823 -77,95%Insumo 2 601 68,75016587 -532,2498341 -88,56%Producto 1 536112 536112 0 0,00%Producto 2 3650 3650 0 0,00%35 PURIFICACION1Insumo 1 10145,99456 10145,99456 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 1295850 20688879,6 19393029,6 999,90%Producto 2 13414 159141,6348 145727,6348 999,90%36 RIOBLANCO 0,451186676Insumo 1 3035,030834 1369,365473 -1665,665361 -54,88%Insumo 2 31 13,98678695 -17,01321305 -54,88%Producto 1 583200 1333635,507 750435,5073 128,68%Producto 2 4515 6647,689141 2132,689141 47,24%37 RONCESVALLES 0,475739419Insumo 1 1817,187282 864,5076221 -952,6796597 -52,43%Insumo 2 193 48,51823581 -144,4817642 -74,86%Producto 1 346896 592764,717 245868,717 70,88%Producto 2 1709 1709 0 0,00%38 ROVIRA 0,33158993Insumo 1 4239,804686 1405,876539 -2833,928147 -66,84%Insumo 2 37 12,26882741 -24,73117259 -66,84%Producto 1 839808 1384335,937 544527,937 64,84%Producto 2 7116 7116 0 0,00%39 SALDAÑA 0,144676822Insumo 1 8711,741954 1260,387144 -7451,35481 -85,53%Insumo 2 641 69,92000132 -571,0799987 -89,09%Producto 1 663000 974137,0417 311137,0417 46,93%Producto 2 9600 9600 0 0,00%40 SAN ANTONIO1Insumo 1 2004,648104 2004,648104 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 777600 2569545,994 1791945,994 230,45%Producto 2 6522 16253,54888 9731,548877 149,21%41 SAN LUIS 1Insumo 1 4316,431394 4316,431394 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 213450 7714637,521 7501187,521 999,90%Producto 2 5560 56827,4627 51267,4627 922,08%42 SANTA ISABEL1Insumo 1 1654,613602 1654,613602 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 441504 1790511,23 1349007,23 305,55%Producto 2 3240 10110,12282 6870,122815 212,04%43 SUAREZ 1Insumo 1 1637,17231 1637,17231 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 167961 1751693,993 1583732,993 942,92%Producto 2 1811 9804,012183 7993,012183 441,36%44 VALLE DE SAN 1JUANInsumo 1 1890,235908 1890,235908 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 528748 2314910,873 1786162,873 337,81%Producto 2 2340 14245,51007 11905,51007 508,78%45 VENADILLO 0,833131085Insumo 1 2334,961918 1945,329355 -389,6325626 -16,69%Insumo 2 41 34,15837447 -6,841625528 -16,69%Producto 1 2891894 2891894 0 0,00%Producto 2 11510 19154,20482 7644,204822 66,41%46 VILLA HERMOSA 0,768141558Insumo 1 1817,97889 1396,465136 -421,5137538 -23,19%Insumo 2 16 12,29026492 -3,709735079 -23,19%Producto 1 591300 1370703,835 779403,835 131,81%Producto 2 3725 6921,658598 3196,658598 85,82%47 VILLA RICA 1Insumo 1 1685,369649 1685,369649 0 0,00%Insumo 2 1 1 0 0,00%Producto 1 1026432 1858961,711 832529,7105 81,11%Producto 2 1215 10649,91961 9434,919609 776,54%


MunicipioDMUSALDAÑAPRADOCOELLOPIEDRASPALOCABILDOALVARADOFALANRONCESVALLESVILLA HERMOSAFRESNOMARIQUITALERIDAIBAGUEHERVEOMELGARFLANDESPLANADASCUNDAYSAN ANTONIOCASABIANCASAN LUISSUAREZVALLE DE SAN JUANVILLA RICA0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


MunicipioDMUVILLA RICAVENADILLOSUAREZSAN LUISSALDAÑARONCESVALLESPURIFICACIONPLANADASPALOCABILDONATAGAIMAMELGARLIBANOICONONZOHONDAGUAYABAL-ARMEROFRESNOFALANDOLORESCOYAIMACHAPARRALCARMEN DE APICALAATACOAMBALEMAALPUJARRA0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-I)Rank DMU Score1 VILLA RICA 11 ALPUJARRA 11 VALLE DE SAN JUAN 11 AMBALEMA 11 SUAREZ 11 SANTA ISABEL 11 SAN LUIS 11 CARMEN DE APICALA11 CASABIANCA 11 CHAPARRAL 11 SAN ANTONIO 11 PURIFICACION 11 CUNDAY 11 DOLORES 11 PLANADAS 11 NATAGAIMA 11 FLANDES 11 MURILLO 11 MELGAR 11 GUAYABAL-ARMERO 11 HERVEO 11 HONDA 11 IBAGUE 11 ICONONZO 11 LERIDA 11 LIBANO 11 MARIQUITA 128 ESPINAL 0,93269993529 FRESNO 0,90467709630 VENADILLO 0,83313108531 VILLA HERMOSA 0,76814155832 GUAMO 0,63105182133 RONCESVALLES 0,47573941934 RIOBLANCO 0,45118667635 FALAN 0,44148105436 COYAIMA 0,42940090637 ALVARADO 0,42853697538 ANZOATEGUI 0,39602816439 PALOCABILDO 0,37926270440 CAJAMARCA 0,376199941 PIEDRAS 0,37186992942 ROVIRA 0,3315899343 COELLO 0,28068172944 ATACO 0,2327009645 PRADO 0,2204529146 ORTEGA 0,16666547 SALDAÑA 0,144676822


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-I) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU Score Rank Reference set (lambda)1 ALPUJARRA 1 1 ALPUJARRA 12 ALVARADO 0,428536975 37 CASABIANCA 0,6824337653 AMBALEMA 1 1 GUAYABAL-ARMERO 0,9991236744 ANZOATEGUI 0,396028164 38 CASABIANCA 0,8314387085 ATACO 0,23270096 44 CASABIANCA 0,999996 CAJAMARCA 0,3761999 40 DOLORES 0,7631412637 CARMEN DE APICALA 1 1 CARMEN DE APICALA 18 CASABIANCA 1 1 CASABIANCA 19 CHAPARRAL 1 1 GUAYABAL-ARMERO 0,92002982910 COELLO 0,280681729 43 CASABIANCA 0,83426179211 COYAIMA 0,429400906 36 CASABIANCA 0,67436169112 CUNDAY 1 1 GUAYABAL-ARMERO 0,98649270313 DOLORES 1 1 DOLORES 114 ESPINAL 0,932699935 28 CASABIANCA 0,4130379715 FALAN 0,441481054 35 CASABIANCA 0,60879297416 FLANDES 1 1 FLANDES 117 FRESNO 0,904677096 29 DOLORES 0,94037971718 GUAMO 0,631051821 32 CASABIANCA 0,2722688519 GUAYABAL-ARMERO 1 1 GUAYABAL-ARMERO 120 HERVEO 1 1 GUAYABAL-ARMERO 0,99997052421 HONDA 1 1 GUAYABAL-ARMERO 0,8375035422 IBAGUE 1 1 IBAGUE 123 ICONONZO 1 1 GUAYABAL-ARMERO 0,91329724824 LERIDA 1 1 GUAYABAL-ARMERO 0,98029328125 LIBANO 1 1 GUAYABAL-ARMERO 0,90342453526 MARIQUITA 1 1 MARIQUITA 127 MELGAR 1 1 IBAGUE 0,9999928 MURILLO 1 1 GUAYABAL-ARMERO 0,99433828529 NATAGAIMA 1 1 GUAYABAL-ARMERO 0,93201952630 ORTEGA 0,166665 46 FLANDES 0,56199856331 PALOCABILDO0,379262704 39 CASABIANCA 0,37983527732 PIEDRAS 0,371869929 41 CASABIANCA 0,94677814733 PLANADAS 1 1 GUAYABAL-ARMERO 0,9323380434 PRADO 0,22045291 45 CASABIANCA 0,30883327935 PURIFICACION1 1 GUAYABAL-ARMERO 0,59687133136 RIOBLANCO 0,451186676 34 CASABIANCA 0,28859548837 RONCESVALLES0,475739419 33 CASABIANCA 0,89924216738 ROVIRA 0,33158993 42 CASABIANCA 0,25041860939 SALDAÑA 0,144676822 47 DOLORES 0,9845715940 SAN ANTONIO 1 1 GUAYABAL-ARMERO 0,97986408641 SAN LUIS 1 1 GUAYABAL-ARMERO 0,87111103742 SANTA ISABEL1 1 GUAYABAL-ARMERO 0,99633073343 SUAREZ 1 1 GUAYABAL-ARMERO 0,99715122244 VALLE DE SAN 1JUAN1 GUAYABAL-ARMERO 0,98524637145 VENADILLO 0,833131085 30 CASABIANCA 0,73685298846 VILLA HERMOSA0,768141558 31 CASABIANCA 0,25089499847 VILLA RICA 1 1 GUAYABAL-ARMERO 0,994883879


ambda = 1)DOLORES 0,292672161 MARIQUITA 2,49E-02IBAGUE8,66E-04GUAYABAL-ARMERO 0,168551292IBAGUE 5,15E-03 MARIQUITA 0,231695976IBAGUE8,00E-02DOLORES 0,165728208FLANDES1,28E-02 GUAYABAL-ARMERO 0,312827816IBAGUE1,35E-02GUAYABAL-ARMERO 0,440507709 IBAGUE 0,146444321DOLORES 0,391197026IBAGUE 3,12E-02 MARIQUITA 2,84E-02FLANDES 0,329623228 GUAYABAL-ARMERO 0,398097922IBAGUE1,95E-05IBAGUE 0,16248646IBAGUE8,67E-02IBAGUE1,97E-02IBAGUE 0,096565465IBAGUE5,65E-03IBAGUE6,80E-02GUAYABAL-ARMERO 0,437991437DOLORES 0,620154723DOLORES 0,053211853IBAGUE6,77E-02DOLORES 0,652073094 MARIQUITA 3,91E-02IBAGUE 0,403118669GUAYABAL-ARMERO 0,711394512DOLORES 0,100747833FLANDES6,42E-03 GUAYABAL-ARMERO 0,743152901IBAGUE 0,01541841IBAGUE2,01E-02IBAGUE 0,128878963IBAGUE3,66E-03IBAGUE2,84E-03IBAGUE1,47E-02GUAYABAL-ARMERO 0,220883671 IBAGUE 4,23E-02GUAYABAL-ARMERO 0,749095002IBAGUE5,11E-03


<strong>DEA</strong> model = <strong>DEA</strong>-<strong>Solver</strong> LV3.0/ <strong>BCC</strong>(<strong>BCC</strong>-I)Problem = MunicipioNo. of DMUs = 47No. of Input items = 2Input(1) = Insumo 1Input(2) = Insumo 2No. of Output items = 2Output(1) = Producto 1Output(2) = Producto 2Returns to Scale = Variable (Sum of Lambda = 1)Statistics on Input/Output DataInsumo 1 Insumo 2 Producto 1 Producto 2Max 24654,87346 641 48927268 381828Min 858,0132641 1 139968 1209Average 3985,90399 93,36170213 2424669,255 17619,40426SD 4786,067298 157,1483139 7054769,966 54837,42689CorrelationInsumo 1 Insumo 2 Producto 1 Producto 2Insumo 1 1 -0,037211303 0,60674822 0,617237238Insumo 2 -0,037211303 1 -0,126919101 -0,125484204Producto 1 0,60674822 -0,126919101 1 0,995915772Producto 2 0,617237238 -0,125484204 0,995915772 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 47Average 0,770131374SD 0,306262698Maximum 1Minimum 0,144676822Frequency in Reference SetReferenceFrequency to other DMUsALPUJARRA 0CARMEN DE APICALA 0CASABIANCA 16DOLORES 10FLANDES 4GUAYABAL-ARMERO 27IBAGUE 24MARIQUITA 4No. of DMUs in Data = 47No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 47Average of scores = 0,770131374No. of efficient DMUs = 8No. of inefficient DMUs = 39No. of over iteration DMUs = 0[<strong>BCC</strong>-I] LP started at 07-15-2008 10:02:35 and completed at 07-15-2008 10:02:36Elapsed time = 0 secondsTotal number of simplex iterations = 363


Municipio (I) Insumo 1 (I) Insumo 2 (O) Producto 1 (O) Producto 2ALPUJARRA 2384,5586513107 1 206893 2616 -2384,5586513107 -1ALVARADO 2105,1334061436 361 622080 2580 -2105,1334061436 -361AMBALEMA 1595,2435542957 1 911347 6720 -1595,2435542957 -1ANZOATEGUI 2472,4550153417 97 449280 2180 -2472,4550153417 -97ATACO 3687,1557577420 361 473040 1244 -3687,1557577420 -361CAJAMARCA 3337,1421635821 361 1576753 9200 -3337,1421635821 -361CARMEN DE APICALA 1933,8610013028 1 902016 6980 -1933,8610013028 -1CASABIANCA 858,0132641466 46 634176 1478 -858,0132641466 -46CHAPARRAL 3276,5557655171 1 3188160 27073 -3276,5557655171 -1COELLO 3094,9712747137 181 139968 1858 -3094,9712747137 -181COYAIMA 2585,3635690207 73 684000 4225 -2585,3635690207 -73CUNDAY 1863,7423965582 1 776000 2640 -1863,7423965582 -1DOLORES 922,5599440380 71 223200 3771 -922,5599440380 -71ESPINAL 4709,8499662137 21 8139540 55329 -4709,8499662137 -21FALAN 2000,6637771652 211 264384 2375 -2000,6637771652 -211FLANDES 2989,7718475191 1 3668311 38484 -2989,7718475191 -1FRESNO 1806,3087865052 181 1880000 16010 -1806,3087865052 -181GUAMO 2926,6066296510 21 1754945 16569 -2926,6066296510 -21GUAYABAL-ARMERO 1576,8279017940 1 1617408 8745 -1576,8279017940 -1HERVEO 1577,2419118187 1 315360 2365 -1577,2419118187 -1HONDA 5030,8320557799 1 5375000 29624 -5030,8320557799 -1IBAGUE 22833,7967090809 1 48927268 381828 -22833,7967090809 -1ICONONZO 3419,6714630430 1 783820 2942 -3419,6714630430 -1LERIDA 1995,5246406372 1 2488320 15218 -1995,5246406372 -1LIBANO 3629,5375019493 1 5045760 29766 -3629,5375019493 -1MARIQUITA 1871,9871471135 211 4982000 18795 -1871,9871471135 -211MELGAR 24654,8734557344 1 3582200 26738 -24654,8734557344 -1MURILLO 1696,9674399900 1 378432 1209 -1696,9674399900 -1NATAGAIMA 3021,6886026181 1 579948 13840 -3021,6886026181 -1ORTEGA 14225,4498595144 6 819936 6147 -14225,4498595144 -6PALOCABILDO 2367,8405571466 361 158775 2900 -2367,8405571466 -361PIEDRAS 2316,5071028270 241 435156 1600 -2316,5071028270 -241PLANADAS 3014,9178901235 1 1072224 9136 -3014,9178901235 -1PRADO 4262,6954381155 601 536112 3650 -4262,6954381155 -601PURIFICACION 10145,9945586889 1 1295850 13414 -10145,9945586889 -1RIOBLANCO 3035,0308338048 31 583200 4515 -3035,0308338048 -31RONCESVALLES 1817,1872818344 193 346896 1709 -1817,1872818344 -193ROVIRA 4239,8046861375 37 839808 7116 -4239,8046861375 -37SALDAÑA 8711,7419539407 641 663000 9600 -8711,7419539407 -641SAN ANTONIO 2004,6481035119 1 777600 6522 -2004,6481035119 -1SAN LUIS 4316,4313938202 1 213450 5560 -4316,4313938202 -1SANTA ISABEL 1654,6136015822 1 441504 3240 -1654,6136015822 -1SUAREZ 1637,1723103794 1 167961 1811 -1637,1723103794 -1VALLE DE SAN JUAN 1890,2359079305 1 528748 2340 -1890,2359079305 -1VENADILLO 2334,9619178783 41 2891894 11510 -2334,9619178783 -41VILLA HERMOSA 1817,9788900683 16 591300 3725 -1817,9788900683 -16VILLA RICA 1685,3696487636 1 1026432 1215 -1685,3696487636 -1187337,49 4388,00 113959455,00 828112,00608,31 4,4270060050040030045000040000035000030000025000020000060000000500000004000000030000000200000001000000045000040000035000030000025000020000015000010000050000006000000050000000400000003000000020000000100000004500004000003500003000002500002000001500001000005000000 5000 10000 15000 20000 25000 300000 5000 10000 15000 20000 25000 3000000 100 200 300 400 500 600 7000 100 200 300 400 500 600 700


30020010000 5000 10000 15000 20000 25000 300002000001500001000005000000 20000000 40000000 60000000


Municipio Eficiencia S1- S2- S1+ S2+ RankALPUJARRA 100,00 0,000000 0,000000 0,065571 0,053180 1AMBALEMA 100,00 0,000000 0,000000 0,015269 0,006150 1CARMEN DE APICALA 100,00 0,000000 0,000000 0,023515 0,013997 1CASABIANCA 100,00 0,000000 0,000000 0,000000 0,000000 1CHAPARRAL 100,00 0,030668 0,000000 0,000000 0,000000 1CUNDAY 100,00 0,000000 0,000000 0,030248 0,029177 1DOLORES 100,00 0,000000 0,000000 0,000000 0,000000 1FLANDES 100,00 0,000000 0,000000 0,000000 0,000000 1GUAYABAL-ARMERO 100,00 0,000000 0,000000 0,000000 0,000000 1HERVEO 100,00 0,000000 0,000000 0,026631 0,016728 1HONDA 100,00 0,000000 0,000000 0,080317 0,104085 1IBAGUE 100,00 0,000000 0,000000 0,000000 0,000000 1ICONONZO 100,00 0,000000 0,000000 0,100865 0,099906 1LERIDA 100,00 0,000000 0,000000 0,000000 0,000000 1LIBANO 100,00 0,000000 0,000000 0,023304 0,039301 1MARIQUITA 100,00 0,000000 0,000000 0,000000 0,000000 1MELGAR 100,00 0,073863 0,000000 0,926785 0,929974 1MURILLO 100,00 0,000000 0,000000 0,015592 0,019138 1NATAGAIMA 100,00 0,000000 0,000000 0,072685 0,047334 1PLANADAS 100,00 0,000000 0,000000 0,054232 0,078001 1PURIFICACION 100,00 0,000000 0,000000 0,291320 0,289662 1SAN ANTONIO 100,00 0,000000 0,000000 0,035380 0,023195 1SAN LUIS 100,00 0,000000 0,000000 0,152208 0,132232 1SANTA ISABEL 100,00 0,000000 0,000000 0,014383 0,012415 1SUAREZ 100,00 0,000000 0,000000 0,018570 0,015188 1VALLE DE SAN JUAN 100,00 0,000000 0,000000 0,031573 0,027873 1VILLA RICA 100,00 0,000000 0,000000 0,017016 0,024710 1ESPINAL 93,27 0,000000 0,000000 0,000000 0,013226 2FRESNO 90,47 0,000000 0,141909 0,000000 0,000000 3VENADILLO 83,31 0,000000 0,000000 0,000000 0,020020 4VILLA HERMOSA 76,81 0,000000 0,000000 0,015930 0,008372 5GUAMO 63,11 0,000000 0,000000 0,005534 0,000000 6RONCESVALLES 47,57 0,000000 0,067551 0,005025 0,000000 7RIOBLANCO 45,12 0,000000 0,000000 0,015338 0,005586 8FALAN 44,15 0,000000 0,058305 0,004272 0,000000 9COYAIMA 42,94 0,000000 0,000000 0,006062 0,000000 10ALVARADO 42,85 0,000000 0,151764 0,000000 0,000000 11ANZOATEGUI 39,60 0,000000 0,000000 0,007166 0,001369 12PALOCABILDO 37,93 0,000000 0,117646 0,004507 0,000000 13CAJAMARCA 37,62 0,000000 0,051064 0,000000 0,000000 14PIEDRAS 37,19 0,000000 0,065977 0,003621 0,000000 15ROVIRA 33,16 0,000000 0,000000 0,011130 0,000000 16COELLO 28,07 0,000000 0,001031 0,008709 0,000000 17ATACO 23,27 0,000000 0,059292 0,003293 0,000613 18PRADO 22,05 0,000000 0,099443 0,000000 0,000000 19ORTEGA 16,67 0,000000 0,000000 0,037710 0,037379 20SALDAÑA 14,47 0,000000 0,035597 0,006359 0,000000 21


1 ALPUJARRA 19 0,96200160 22 0,037998402 ALVARADO 8 0,68244231 13 0,29267483 26 0,024882873 AMBALEMA 19 0,99913366 22 0,000866344 ANZOATEGUI 8 0,83144702 19 0,168552985 ATACO 8 1,000000006 CAJAMARCA 13 0,76315047 22 0,00515262 26 0,231696917 CARMEN DE APICALA 24 0,79346125 28 0,206538758 CASABIANCA 8 1,000000009 CHAPARRAL 16 0,45375388 22 0,00354044 24 0,5427056810 COELLO 8 0,83427824 13 0,1657217611 COYAIMA 8 0,67436741 16 0,01279895 19 0,3128336312 CUNDAY 19 0,98650257 22 0,0134974313 DOLORES 13 1,0000000014 ESPINAL 8 0,41303857 19 0,44051744 22 0,1464439915 FALAN 8 0,60880942 13 0,3911905816 FLANDES 16 1,0000000017 FRESNO 13 0,94038892 22 0,03124620 26 0,0283648718 GUAMO 8 0,27227039 16 0,32962066 19 0,3981089519 GUAYABAL-ARMERO 19 1,0000000020 HERVEO 19 0,99998052 22 0,0000194821 HONDA 19 0,83751191 22 0,1624880922 IBAGUE 22 1,0000000023 ICONONZO 19 0,91330638 22 0,0866936224 LERIDA 24 1,0000000025 LIBANO 19 0,90343357 22 0,0965664326 MARIQUITA 26 1,0000000027 MELGAR 22 1,0000000028 MURILLO 3 0,99521041 22 0,0047895929 NATAGAIMA 3 0,93283699 22 0,0671630130 ORTEGA 3 0,96347846 22 0,0365215431 PALOCABILDO 8 0,37985172 13 0,6201482832 PIEDRAS 8 0,94679459 13 0,0532054133 PLANADAS 16 0,99873281 22 0,0012671934 PRADO 8 0,30884182 13 0,65207576 26 0,0390824235 PURIFICACION 22 0,31481602 41 0,6851839836 RIOBLANCO 8 0,28859837 19 0,7114016337 RONCESVALLES 8 0,89925861 13 0,1007413938 ROVIRA 8 0,25042050 16 0,00641601 19 0,7431634939 SALDAÑA 13 0,98458169 22 0,0154183140 SAN ANTONIO 22 0,00043782 24 0,9995621841 SAN LUIS 22 0,11137712 24 0,8886228842 SANTA ISABEL 3 0,85167909 24 0,1483209143 SUAREZ 3 0,89525170 24 0,1047483044 VALLE DE SAN JUAN 3 0,26303697 24 0,7369630345 VENADILLO 8 0,73685578 19 0,22089116 22 0,0422530646 VILLA HERMOSA 8 0,25089751 19 0,7491024947 VILLA RICA 19 0,99489383 22 0,00510617


Unit name IO Cont (I) Insumo IO Cont 1 (I) Insumo IO Cont 2 (O) Producto IO Cont 1 (O) Producto 2ALPUJARRA 0,00 100,00 38,20 61,80ALVARADO 100,00 0,00 29,40 70,60AMBALEMA 0,00 100,00 51,40 48,60ANZOATEGUI 61,50 38,50 61,70 38,30ATACO 100,00 0,00 74,80 25,20CAJAMARCA 100,00 0,00 8,10 91,90CARMEN DE APICALA 0,00 100,00 50,20 49,80CASABIANCA 100,00 0,00 100,00 0,00CHAPARRAL 0,00 100,00 39,60 60,40COELLO 100,00 0,00 0,00 100,00COYAIMA 81,00 19,00 0,00 100,00CUNDAY 0,00 100,00 69,60 30,40DOLORES 100,00 0,00 0,00 100,00ESPINAL 97,30 2,70 100,00 0,00FALAN 100,00 0,00 0,00 100,00FLANDES 100,00 0,00 0,00 100,00FRESNO 100,00 0,00 5,70 94,30GUAMO 94,40 5,60 0,00 100,00GUAYABAL-ARMERO 99,50 0,50 0,00 100,00HERVEO 0,00 100,00 51,00 49,00HONDA 0,00 100,00 58,60 41,40IBAGUE 0,00 100,00 50,00 50,00ICONONZO 0,00 100,00 67,50 32,50LERIDA 0,00 100,00 56,10 43,90LIBANO 0,00 100,00 57,00 43,00MARIQUITA 100,00 0,00 100,00 0,00MELGAR 0,00 100,00 51,10 48,90MURILLO 0,00 100,00 71,00 29,00NATAGAIMA 0,00 100,00 24,60 75,40ORTEGA 0,00 100,00 51,00 49,00PALOCABILDO 100,00 0,00 0,00 100,00PIEDRAS 100,00 0,00 0,00 100,00PLANADAS 0,00 100,00 47,80 52,20PRADO 100,00 0,00 20,30 79,70PURIFICACION 0,00 100,00 43,00 57,00RIOBLANCO 86,00 14,00 50,20 49,80RONCESVALLES 100,00 0,00 0,00 100,00ROVIRA 93,20 6,80 0,00 100,00SALDAÑA 100,00 0,00 0,00 100,00SAN ANTONIO 0,00 100,00 48,20 51,80SAN LUIS 0,00 100,00 23,10 76,90SANTA ISABEL 0,00 100,00 51,50 48,50SUAREZ 0,00 100,00 42,00 58,00VALLE DE SAN JUAN 0,00 100,00 63,80 36,20VENADILLO 90,20 9,80 100,00 0,00VILLA HERMOSA 87,70 12,30 55,30 44,70VILLA RICA 0,00 100,00 86,80 13,20


Unit name Actual (I) Insumo 1 Actual (I) Insumo 2 Actual (O) Producto 1 Actual (O) Producto 2 Target (I) Insumo 1 Target (I) Insumo 2 Target (O) Producto 1 Target (O) Producto 2 Percent (I) Insumo 1 Percent (I) Insumo 2 Percent (O) Producto 1 Percent (O) Producto 2ALPUJARRA 2385 1 206893 2616 2385 1,00 3415107 22922 0,0 0,0 1550,7 776,2ALVARADO 2105 361 622080 2580 902 57,42 622080 2580 -57,1 -84,1 0,0 0,0AMBALEMA 1595 1 911347 6720 1595 1,00 1658394 9068 0,0 0,0 82,0 34,9ANZOATEGUI 2472 97 449280 2180 979 38,42 799903 2703 -60,4 -60,4 78,0 24,0ATACO 3687 361 473040 1244 858 46,00 634176 1478 -76,7 -87,3 34,1 18,8CAJAMARCA 3337 361 1576753 9200 1255 103,08 1576753 9200 -62,4 -71,4 0,0 0,0CARMEN DE APICALA 1934 1 902016 6980 1934 1,00 2052546 12325 0,0 0,0 127,6 76,6CASABIANCA 858 46 634176 1478 858 46,00 634176 1478 0,0 0,0 0,0 0,0CHAPARRAL 3277 1 3188160 27073 2520 1,00 3188160 27073 -23,1 0,0 0,0 0,0COELLO 3095 181 139968 1858 869 50,14 566068 1858 -71,9 -72,3 304,4 0,0COYAIMA 2585 73 684000 4225 1110 31,35 980598 4225 -57,1 -57,1 43,4 0,0CUNDAY 1864 1 776000 2640 1864 1,00 2255970 13781 0,0 0,0 190,7 422,0DOLORES 923 71 223200 3771 923 71,00 223200 3771 0,0 0,0 0,0 0,0ESPINAL 4710 21 8139540 55329 4393 19,59 8139540 60379 -6,7 -6,7 0,0 9,1FALAN 2001 211 264384 2375 883 55,78 473406 2375 -55,9 -73,6 79,1 0,0FLANDES 2990 1 3668311 38484 2990 1,00 3668311 38484 0,0 0,0 0,0 0,0FRESNO 1806 181 1880000 16010 1634 72,78 1880000 16010 -9,5 -59,8 0,0 0,0GUAMO 2927 21 1754945 16569 1847 13,25 2025723 16569 -36,9 -36,9 15,4 0,0GUAYABAL-ARMERO 1577 1 1617408 8745 1577 1,00 1617408 8745 0,0 0,0 0,0 0,0HERVEO 1577 1 315360 2365 1577 1,00 1618329 8752 0,0 0,0 413,2 270,1HONDA 5031 1 5375000 29624 5031 1,00 9304697 69367 0,0 0,0 73,1 134,2IBAGUE 22834 1 48927268 381828 22834 1,00 48927268 381828 0,0 0,0 0,0 0,0ICONONZO 3420 1 783820 2942 3420 1,00 5718871 41089 0,0 0,0 629,6 1296,6LERIDA 1996 1 2488320 15218 1996 1,00 2488320 15218 0,0 0,0 0,0 0,0LIBANO 3630 1 5045760 29766 3630 1,00 6185952 44772 0,0 0,0 22,6 50,4MARIQUITA 1872 211 4982000 18795 1872 211,00 4982000 18795 0,0 0,0 0,0 0,0MELGAR 24655 1 3582200 26738 22834 1,00 48927268 381828 -7,4 0,0 1265,8 1328,0MURILLO 1697 1 378432 1209 1697 1,00 1141323 8517 0,0 0,0 201,6 604,4NATAGAIMA 3022 1 579948 13840 3022 1,00 4136241 31913 0,0 0,0 613,2 130,6ORTEGA 14225 6 819936 6147 2371 1,00 2664963 20420 -83,3 -83,3 225,0 232,2PALOCABILDO 2368 361 158775 2900 898 61,50 379310 2900 -62,1 -83,0 138,9 0,0PIEDRAS 2317 241 435156 1600 861 47,33 612310 1600 -62,8 -80,4 40,7 0,0PLANADAS 3015 1 1072224 9136 3015 1,00 3725662 38919 0,0 0,0 247,5 326,0PRADO 4263 601 536112 3650 940 68,75 536112 3650 -78,0 -88,6 0,0 0,0PURIFICACION 10146 1 1295850 13414 10146 1,00 15549340 124015 0,0 0,0 1099,9 824,5RIOBLANCO 3035 31 583200 4515 1369 13,99 1333649 6648 -54,9 -54,9 128,7 47,2RONCESVALLES 1817 193 346896 1709 865 48,52 592774 1709 -52,4 -74,9 70,9 0,0ROVIRA 4240 37 839808 7116 1406 12,27 1384345 7116 -66,8 -66,8 64,8 0,0SALDAÑA 8712 641 663000 9600 1260 69,92 974134 9600 -85,5 -89,1 46,9 0,0SAN ANTONIO 2005 1 777600 6522 2005 1,00 2508652 15379 0,0 0,0 222,6 135,8SAN LUIS 4316 1 213450 5560 4316 1,00 7660556 56050 0,0 0,0 3488,9 908,1SANTA ISABEL 1655 1 441504 3240 1655 1,00 1145245 7980 0,0 0,0 159,4 146,3SUAREZ 1637 1 167961 1811 1637 1,00 1076532 7610 0,0 0,0 540,9 320,2VALLE DE SAN JUAN 1890 1 528748 2340 1890 1,00 2073518 12983 0,0 0,0 292,2 454,8VENADILLO 2335 41 2891894 11510 1945 34,16 2891894 19154 -16,7 -16,7 0,0 66,4VILLA HERMOSA 1818 16 591300 3725 1396 12,29 1370718 6922 -23,2 -23,2 131,8 85,8VILLA RICA 1685 1 1026432 1215 1685 1,00 1858980 10650 0,0 0,0 81,1 776,5187337 4388 113959455 828112 138948 1210 218180483 1610406-48389 -3178 104221028 782294-25,82993 -72,435278 91,45448096 94,4672182


No. Municipio CCR (ETP) <strong>BCC</strong> (ETP) ETP>ETG EE Rank1 ALPUJARRA 0,065605 1,000000 0,934395 0,065605 13 AMBALEMA 0,266281 1,000000 0,733719 0,266281 17 CARMEN DE APICALA 0,217458 1,000000 0,782542 0,217458 18 CASABIANCA 0,309345 1,000000 0,690655 0,309345 19 CHAPARRAL 0,494116 1,000000 0,505884 0,494116 112 CUNDAY 0,194108 1,000000 0,805892 0,194108 113 DOLORES 0,244440 1,000000 0,755560 0,244440 116 FLANDES 0,769755 1,000000 0,230245 0,769755 119 GUAYABAL-ARMERO 0,478093 1,000000 0,521907 0,478093 120 HERVEO 0,093193 1,000000 0,906807 0,093193 121 HONDA 0,498450 1,000000 0,501550 0,498450 122 IBAGUE 1,000000 1,000000 0,000000 1,000000 123 ICONONZO 0,106912 1,000000 0,893088 0,106912 124 LERIDA 0,581366 1,000000 0,418634 0,581366 125 LIBANO 0,648465 1,000000 0,351535 0,648465 126 MARIQUITA 1,000000 1,000000 0,000000 1,000000 127 MELGAR 0,073215 1,000000 0,926785 0,073215 128 MURILLO 0,103952 1,000000 0,896048 0,103952 129 NATAGAIMA 0,273903 1,000000 0,726097 0,273903 133 PLANADAS 0,181214 1,000000 0,818786 0,181214 135 PURIFICACION 0,079063 1,000000 0,920937 0,079063 140 SAN ANTONIO 0,194560 1,000000 0,805440 0,194560 141 SAN LUIS 0,077030 1,000000 0,922970 0,077030 142 SANTA ISABEL 0,124378 1,000000 0,875622 0,124378 143 SUAREZ 0,066151 1,000000 0,933849 0,066151 144 VALLE DE SAN JUAN 0,130409 1,000000 0,869591 0,130409 147 VILLA RICA 0,283890 1,000000 0,716110 0,283890 114 ESPINAL 0,798952 0,932702 0,133750 0,856600 2817 FRESNO 0,530041 0,904681 0,374640 0,585887 2945 VENADILLO 0,557045 0,833134 0,276090 0,668613 3046 VILLA HERMOSA 0,148989 0,768149 0,619161 0,193958 3118 GUAMO 0,338565 0,631056 0,292490 0,536506 3237 RONCESVALLES 0,076699 0,475744 0,399045 0,161219 3336 RIOBLANCO 0,089407 0,451191 0,361784 0,198159 3415 FALAN 0,070990 0,441485 0,370495 0,160799 3511 COYAIMA 0,116420 0,429405 0,312985 0,271120 362 ALVARADO 0,113535 0,428541 0,315006 0,264934 374 ANZOATEGUI 0,078220 0,396032 0,317813 0,197508 3831 PALOCABILDO 0,073241 0,379266 0,306025 0,193113 396 CAJAMARCA 0,199516 0,376202 0,176686 0,530342 4032 PIEDRAS 0,071660 0,371873 0,300213 0,192701 4138 ROVIRA 0,100369 0,331593 0,231223 0,302688 4210 COELLO 0,035900 0,280684 0,244784 0,127903 435 ATACO 0,049473 0,232703 0,183230 0,212603 4434 PRADO 0,055870 0,220455 0,164585 0,253430 4530 ORTEGA 0,026877 0,166667 0,139789 0,161265 4639 SALDAÑA 0,065899 0,144678 0,078779 0,455486 47Municipios EficientesMunicipios Eficientes (%)PromedioDesviación EstándarValor MínimoValor MáximoMunicipios IneficientesMunicipios Ineficientes (%)2 6 24,26 12,77 4,260,258575 0,770133 0,3208550,257376 0,309573 0,2463120,026877 0,144678 0,0656051,000000 1,000000 1,00000045 41 4595,74 87,23 95,74


No. Municipio1 ALPUJARRA IBAGUE 22 0,00685125 0,006851252 ALVARADO IBAGUE 22 0,00118204 MARIQUITA 26 0,11325692 0,114438963 AMBALEMA IBAGUE 22 0,01850700 MARIQUITA 26 0,00117428 0,019681284 ANZOATEGUI IBAGUE 22 0,00552379 MARIQUITA 26 0,03593259 0,041456375 ATACO IBAGUE 22 0,00104988 MARIQUITA 26 0,08463910 0,085688996 CAJAMARCA IBAGUE 22 0,01648486 MARIQUITA 26 0,15459531 0,171080177 CARMEN DE APICALA IBAGUE 22 0,01833976 MARIQUITA 26 0,00094369 0,019283458 CASABIANCA IBAGUE 22 0,00609749 MARIQUITA 26 0,06741114 0,073508649 CHAPARRAL IBAGUE 22 0,07090365 0,0709036510 COELLO IBAGUE 22 0,00486607 0,0048660711 COYAIMA IBAGUE 22 0,00988341 MARIQUITA 26 0,04023117 0,0501145812 CUNDAY IBAGUE 22 0,01577422 MARIQUITA 26 0,00084518 0,0166194013 DOLORES IBAGUE 22 0,00987617 0,0098761714 ESPINAL IBAGUE 22 0,15833966 MARIQUITA 26 0,07876614 0,2371058015 FALAN IBAGUE 22 0,00622008 0,0062200816 FLANDES IBAGUE 22 0,10078884 0,1007888417 FRESNO IBAGUE 22 0,04192987 0,0419298718 GUAMO IBAGUE 22 0,04339388 0,0433938819 GUAYABAL-ARMERO IBAGUE 22 0,03284253 MARIQUITA 26 0,00211019 0,0349527220 HERVEO IBAGUE 22 0,00640360 MARIQUITA 26 0,00041133 0,0068149321 HONDA IBAGUE 22 0,10966932 MARIQUITA 26 0,00184256 0,1115118822 IBAGUE IBAGUE 22 1,00000000 1,0000000023 ICONONZO IBAGUE 22 0,01597622 MARIQUITA 26 0,00043098 0,0164072024 LERIDA IBAGUE 22 0,05060139 MARIQUITA 26 0,00251547 0,0531168725 LIBANO IBAGUE 22 0,10286447 MARIQUITA 26 0,00258578 0,1054502626 MARIQUITA MARIQUITA 26 1,00000000 1,0000000027 MELGAR IBAGUE 22 0,07321480 0,0732148028 MURILLO IBAGUE 22 0,00768813 MARIQUITA 26 0,00045623 0,0081443529 NATAGAIMA IBAGUE 22 0,03624669 0,0362466930 ORTEGA IBAGUE 22 0,01668849 MARIQUITA 26 0,00068520 0,0173736931 PALOCABILDO IBAGUE 22 0,00759504 0,0075950432 PIEDRAS IBAGUE 22 0,00055997 MARIQUITA 26 0,08184625 0,0824062233 PLANADAS IBAGUE 22 0,02392700 0,0239270034 PRADO IBAGUE 22 0,00825099 MARIQUITA 26 0,02657841 0,0348294035 PURIFICACION IBAGUE 22 0,03513100 0,0351310036 RIOBLANCO IBAGUE 22 0,01173576 MARIQUITA 26 0,00180677 0,0135425337 RONCESVALLES IBAGUE 22 0,00202948 MARIQUITA 26 0,04969873 0,0517282138 ROVIRA IBAGUE 22 0,01863666 0,0186366639 SALDAÑA IBAGUE 22 0,02514221 0,0251422140 SAN ANTONIO IBAGUE 22 0,01708099 0,0170809941 SAN LUIS IBAGUE 22 0,01456153 0,0145615342 SANTA ISABEL IBAGUE 22 0,00896799 MARIQUITA 26 0,00054697 0,0095149543 SUAREZ IBAGUE 22 0,00474297 0,0047429744 VALLE DE SAN JUAN IBAGUE 22 0,01074907 MARIQUITA 26 0,00056711 0,0113161845 VENADILLO IBAGUE 22 0,04810761 MARIQUITA 26 0,10801291 0,1561205146 VILLA HERMOSA IBAGUE 22 0,01094018 MARIQUITA 26 0,01124586 0,0221860447 VILLA RICA IBAGUE 22 0,02085179 MARIQUITA 26 0,00124663 0,02209842


Excess Excess Shortage ShortageNo. DMU Score Insumo 1 Insumo 2 Producto 1 Producto 2S-(1) S-(2) S+(1) S+(2)1 ALPUJARRA 6,56E-02 0 5,88E-02 128320,0621 02 ALVARADO 0,113534836 0 17,0876828 0 03 AMBALEMA 0,266281102 0 0 0 368,55963774 ANZOATEGUI 7,82E-02 0 0 0 604,4899035 ATACO 4,95E-02 0 0 0 747,66729376 CAJAMARCA 0,199515737 0 39,38908567 0 07 CARMEN DE APICALA 0,217457725 0 0 0 40,372029418 CASABIANCA 0,309344535 0 0 0 2117,1860849 CHAPARRAL 0,494116296 0 0,423212643 280962,0302 010 COELLO 3,59E-02 0 6,493108685 98115,28343 011 COYAIMA 0,116420004 0 0 0 304,90799212 CUNDAY 0,194108057 0 0 0 3398,92257513 DOLORES 0,244440012 0 17,34536464 260014,2421 014 ESPINAL 0,798952172 0 0 0 6609,92612515 FALAN 7,10E-02 0 14,97276257 39947,43064 016 FLANDES 0,769754994 0 0,668966157 1263011,432 017 FRESNO 0,530041281 0 95,89554199 171514,1914 018 GUAMO 0,33856519 0 7,066475103 368199,1997 019 GUAYABAL-ARMERO 0,478092626 0 0 0 3834,85674120 HERVEO 9,32E-02 0 0 0 87,8055912321 HONDA 0,498449611 0 0 0 12285,4492322 IBAGUE 1 0 0 0 023 ICONONZO 0,106912194 0 0 0 3166,26894524 LERIDA 0,581366338 0 0 0 4150,30696525 LIBANO 0,648464718 0 0 0 9559,13571426 MARIQUITA 1 0 0 0 027 MELGAR 7,32E-02 133,3297645 0 0 1217,45955328 MURILLO 0,10395202 0 0 0 1735,11715329 NATAGAIMA 0,27390297 0 0,237656283 1193503,368 030 ORTEGA 2,69E-02 0 0 0 238,012032931 PALOCABILDO7,32E-02 0 26,4325055 212829,6943 032 PIEDRAS 7,17E-02 0 0 0 152,113982733 PLANADAS 0,181213672 0 0,157286668 98458,92647 034 PRADO 0,055869779 0 27,96144269 0 035 PURIFICACION7,91E-02 0 4,39E-02 423013,9203 036 RIOBLANCO 8,94E-02 0 2,378665196 0 037 RONCESVALLES 7,67E-02 0 4,314410717 0 038 ROVIRA 0,100369196 0 3,695023598 72033,03598 039 SALDAÑA 6,59E-02 0 42,21589924 567139,6776 040 SAN ANTONIO0,194559752 0 0,177478763 58126,14344 041 SAN LUIS 7,70E-02 0 6,25E-02 499005,8966 042 SANTA ISABEL0,124377718 0 0 0 194,508088443 SUAREZ 6,62E-02 0 6,14E-02 64099,72459 044 VALLE DE SAN 0,130408969 JUAN0 0 0 1774,95499145 VENADILLO 0,557044654 0 0 0 8888,9333246 VILLA HERMOSA 0,148988504 0 0 0 663,63309447 VILLA RICA 0,283889823 0 0 0 6770,229109


No. DMU Score VX(1) Insumo 1 VX(2) Insumo 2 UY(1) Producto 1UY(2) Producto 21 ALPUJARRA 6,56E-02 1 0 0 0,0656054762 ALVARADO 0,113534836 1 0 0,085888947 2,76E-023 AMBALEMA 0,266281102 0,998655171 1,34E-03 0,266281102 04 ANZOATEGUI 7,82E-02 0,922271461 7,77E-02 7,82E-02 05 ATACO 4,95E-02 0,826223297 0,173776703 4,95E-02 06 CAJAMARCA 0,199515737 1 0 0,137328166 6,22E-027 CARMEN DE APICALA 0,217457725 0,998890388 1,11E-03 0,217457725 08 CASABIANCA 0,309344535 0,896723656 0,103276344 0,309344535 09 CHAPARRAL 0,494116296 1 0 0 0,49411629610 COELLO 3,59E-02 1 0 0 3,59E-0211 COYAIMA 0,116420004 0,942812021 5,72E-02 0,116420004 012 CUNDAY 0,194108057 0,99884869 1,15E-03 0,194108057 013 DOLORES 0,244440012 1 0 0 0,24444001214 ESPINAL 0,798952172 0,990512526 9,49E-03 0,798952172 015 FALAN 7,10E-02 1 0 0 7,10E-0216 FLANDES 0,769754994 1 0 0 0,76975499417 FRESNO 0,530041281 1 0 0 0,53004128118 GUAMO 0,33856519 1 0 0 0,3385651919 GUAYABAL-ARMERO 0,478092626 0,998639487 1,36E-03 0,478092626 020 HERVEO 9,32E-02 0,998639843 1,36E-03 9,32E-02 021 HONDA 0,498449611 0,999573172 4,27E-04 0,498449611 022 IBAGUE 1 1,000030623 0 0,5 0,523 ICONONZO 0,106912194 0,9993722 6,28E-04 0,106912194 024 LERIDA 0,581366338 0,99892464 1,08E-03 0,581366338 025 LIBANO 0,648464718 0,999408479 5,92E-04 0,648464718 026 MARIQUITA 1 0,827294138 0,172705862 0,974173996 2,58E-0227 MELGAR 7,32E-02 0 1 7,32E-02 028 MURILLO 0,10395202 0,998735685 1,26E-03 0,10395202 029 NATAGAIMA 0,27390297 1 0 0 0,2739029730 ORTEGA 2,69E-02 0,999094746 9,05E-04 2,69E-02 031 PALOCABILDO7,32E-02 1 0 0 7,32E-0232 PIEDRAS 7,17E-02 0,817332745 0,182667255 7,17E-02 033 PLANADAS 0,181213672 1 0 0 0,18121367234 PRADO 0,055869779 1 0 3,66E-02 0,01931519235 PURIFICACION7,91E-02 1 0 0 0,07906313636 RIOBLANCO 8,94E-02 1 0 5,59E-02 0,03355715437 RONCESVALLES 7,67E-02 1 0 5,55E-02 2,12E-0238 ROVIRA 0,100369196 1 0 0 0,10036919639 SALDAÑA 6,59E-02 1 0 0 6,59E-0240 SAN ANTONIO 0,194559752 1 0 0 0,19455975241 SAN LUIS 7,70E-02 1 0 0 7,70E-0242 SANTA ISABEL0,124377718 0,998703363 1,30E-03 0,124377718 043 SUAREZ 6,62E-02 1 0 0 0,06615069644 VALLE DE SAN 0,130408969 JUAN0,998864809 1,14E-03 0,130408969 045 VENADILLO 0,557044654 0,963650213 3,63E-02 0,557044654 046 VILLA HERMOSA 0,148988504 0,98144439 1,86E-02 0,148988504 047 VILLA RICA 0,283889823 0,998726995 1,27E-03 0,283889823 0


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-I) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Cobertura de agua potable-CCR-I.xlsxNo. DMU Score V(1) Insumo 1 V(2) Insumo 2 U(1) Producto 1U(2) Producto 21 ALPUJARRA 6,56E-02 4,19E-04 0 0 2,51E-052 ALVARADO 0,113534836 4,75E-04 0 0 1,07E-053 AMBALEMA 0,266281102 6,26E-04 1,34E-03 0 04 ANZOATEGUI 7,82E-02 3,73E-04 8,01E-04 0 05 ATACO 4,95E-02 2,24E-04 4,81E-04 0 06 CAJAMARCA 0,199515737 3,00E-04 0 0 07 CARMEN DE APICALA 0,217457725 5,17E-04 1,11E-03 0 08 CASABIANCA 0,309344535 1,05E-03 2,25E-03 0 09 CHAPARRAL 0,494116296 3,05E-04 0 0 1,83E-0510 COELLO 3,59E-02 3,23E-04 0 0 1,93E-0511 COYAIMA 0,116420004 3,65E-04 7,83E-04 0 012 CUNDAY 0,194108057 5,36E-04 1,15E-03 0 013 DOLORES 0,244440012 1,08E-03 0 0 6,48E-0514 ESPINAL 0,798952172 2,10E-04 4,52E-04 0 015 FALAN 7,10E-02 5,00E-04 0 0 2,99E-0516 FLANDES 0,769754994 3,34E-04 0 0 2,00E-0517 FRESNO 0,530041281 5,54E-04 0 0 3,31E-0518 GUAMO 0,33856519 3,42E-04 0 0 2,04E-0519 GUAYABAL-ARMERO 0,478092626 6,33E-04 1,36E-03 0 020 HERVEO 9,32E-02 6,33E-04 1,36E-03 0 021 HONDA 0,498449611 1,99E-04 4,27E-04 0 022 IBAGUE 1 4,38E-05 0 0 023 ICONONZO 0,106912194 2,92E-04 6,28E-04 0 024 LERIDA 0,581366338 5,01E-04 1,08E-03 0 025 LIBANO 0,648464718 2,75E-04 5,92E-04 0 026 MARIQUITA 1 4,42E-04 8,19E-04 0 027 MELGAR 7,32E-02 0 1 0 028 MURILLO 0,10395202 5,89E-04 1,26E-03 0 029 NATAGAIMA 0,27390297 3,31E-04 0 0 1,98E-0530 ORTEGA 2,69E-02 7,02E-05 1,51E-04 0 031 PALOCABILDO7,32E-02 4,22E-04 0 0 2,53E-0532 PIEDRAS 7,17E-02 3,53E-04 7,58E-04 0 033 PLANADAS 0,181213672 3,32E-04 0 0 1,98E-0534 PRADO 0,055869779 2,35E-04 0 0 035 PURIFICACION7,91E-02 9,86E-05 0 0 036 RIOBLANCO 8,94E-02 3,29E-04 0 0 037 RONCESVALLES 7,67E-02 5,50E-04 0 0 1,24E-0538 ROVIRA 0,100369196 2,36E-04 0 0 1,41E-0539 SALDAÑA 6,59E-02 1,15E-04 0 0 040 SAN ANTONIO 0,194559752 4,99E-04 0 0 2,98E-0541 SAN LUIS 7,70E-02 2,32E-04 0 0 1,39E-0542 SANTA ISABEL0,124377718 6,04E-04 1,30E-03 0 043 SUAREZ 6,62E-02 6,11E-04 0 0 3,65E-0544 VALLE DE SAN 0,130408969 JUAN5,28E-04 1,14E-03 0 045 VENADILLO 0,557044654 4,13E-04 8,87E-04 0 046 VILLA HERMOSA 0,148988504 5,40E-04 1,16E-03 0 047 VILLA RICA 0,283889823 5,93E-04 1,27E-03 0 0


No. DMU ScoreI/O Data Projection Difference %1 ALPUJARRA 6,56E-02Insumo 1 2384,558651 156,4401044 -2228,118547 -93,44%Insumo 2 1 6,85E-03 -0,993148748 -99,31%Producto 1 206893 335213,0621 128320,0621 62,02%Producto 2 2616 2616 0 0,00%2 ALVARADO 0,113534836Insumo 1 2105,133406 239,0059752 -1866,127431 -88,65%Insumo 2 361 23,89839286 -337,1016071 -93,38%Producto 1 622080 622080 0 0,00%Producto 2 2580 2580 0 0,00%3 AMBALEMA 0,266281102Insumo 1 1595,243554 424,7832117 -1170,460343 -73,37%Insumo 2 1 0,266281102 -0,733718898 -73,37%Producto 1 911347 911347 0 0,00%Producto 2 6720 7088,559638 368,5596377 5,48%4 ANZOATEGUI 7,82E-02Insumo 1 2472,455015 193,3943922 -2279,060623 -92,18%Insumo 2 97 7,587299233 -89,41270077 -92,18%Producto 1 449280 449280 0 0,00%Producto 2 2180 2784,489903 604,489903 27,73%5 ATACO 4,95E-02Insumo 1 3687,155758 182,4161659 -3504,739592 -95,05%Insumo 2 361 17,85990075 -343,1400992 -95,05%Producto 1 473040 473040 0 0,00%Producto 2 1244 1991,667294 747,6672937 60,10%6 CAJAMARCA 0,199515737Insumo 1 3337,142164 665,8123766 -2671,329787 -80,05%Insumo 2 361 32,63609521 -328,3639048 -90,96%Producto 1 1576753 1576753 0 0,00%Producto 2 9200 9200 0 0,00%7 CARMEN DE APICALA 0,217457725Insumo 1 1933,861001 420,5330142 -1513,327987 -78,25%Insumo 2 1 0,217457725 -0,782542275 -78,25%Producto 1 902016 902016 0 0,00%Producto 2 6980 7020,372029 40,37202941 0,58%8 CASABIANCA 0,309344535Insumo 1 858,0132641 265,4217143 -592,5915498 -69,07%Insumo 2 46 14,22984861 -31,77015139 -69,07%Producto 1 634176 634176 0 0,00%Producto 2 1478 3595,186084 2117,186084 143,25%9 CHAPARRAL 0,494116296Insumo 1 3276,555766 1618,999597 -1657,556168 -50,59%Insumo 2 1 7,09E-02 -0,929096347 -92,91%Producto 1 3188160 3469122,03 280962,0302 8,81%Producto 2 27073 27073 0 0,00%10 COELLO 3,59E-02Insumo 1 3094,971275 111,1107469 -2983,860528 -96,41%Insumo 2 181 4,87E-03 -180,9951339 -100,00%Producto 1 139968 238083,2834 98115,28343 70,10%Producto 2 1858 1858 0 0,00%11 COYAIMA 0,116420004Insumo 1 2585,363569 300,9880365 -2284,375533 -88,36%Insumo 2 73 8,498660276 -64,50133972 -88,36%


Producto 1 684000 684000 0 0,00%Producto 2 4225 4529,907992 304,907992 7,22%12 CUNDAY 0,194108057Insumo 1 1863,742397 361,7674147 -1501,974982 -80,59%Insumo 2 1 0,194108057 -0,805891943 -80,59%Producto 1 776000 776000 0 0,00%Producto 2 2640 6038,922575 3398,922575 128,75%13 DOLORES 0,244440012Insumo 1 922,559944 225,5105634 -697,0493807 -75,56%Insumo 2 71 9,88E-03 -70,99012383 -99,99%Producto 1 223200 483214,2421 260014,2421 116,49%Producto 2 3771 3771 0 0,00%14 ESPINAL 0,798952172Insumo 1 4709,849966 3762,94486 -946,9051063 -20,10%Insumo 2 21 16,77799561 -4,22200439 -20,10%Producto 1 8139540 8139540 0 0,00%Producto 2 55329 61938,92612 6609,926125 11,95%15 FALAN 7,10E-02Insumo 1 2000,663777 142,028 -1858,635777 -92,90%Insumo 2 211 6,22E-03 -210,9937799 -100,00%Producto 1 264384 304331,4306 39947,43064 15,11%Producto 2 2375 2375 0 0,00%16 FLANDES 0,769754994Insumo 1 2989,771848 2301,391811 -688,3800361 -23,02%Insumo 2 1 0,100788837 -0,899211163 -89,92%Producto 1 3668311 4931322,432 1263011,432 34,43%Producto 2 38484 38484 0 0,00%17 FRESNO 0,530041281Insumo 1 1806,308787 957,4182232 -848,8905633 -47,00%Insumo 2 181 4,19E-02 -180,9580701 -99,98%Producto 1 1880000 2051514,191 171514,1914 9,12%Producto 2 16010 16010 0 0,00%18 GUAMO 0,33856519Insumo 1 2926,60663 990,8471293 -1935,7595 -66,14%Insumo 2 21 4,34E-02 -20,95660612 -99,79%Producto 1 1754945 2123144,2 368199,1997 20,98%Producto 2 16569 16569 0 0,00%19 GUAYABAL-ARMERO 0,478092626Insumo 1 1576,827902 753,8697929 -822,9581089 -52,19%Insumo 2 1 0,478092626 -0,521907374 -52,19%Producto 1 1617408 1617408 0 0,00%Producto 2 8745 12579,85674 3834,856741 43,85%20 HERVEO 9,32E-02Insumo 1 1577,241912 146,9885538 -1430,253358 -90,68%Insumo 2 1 9,32E-02 -0,906806589 -90,68%Producto 1 315360 315360 0 0,00%Producto 2 2365 2452,805591 87,80559123 3,71%21 HONDA 0,498449611Insumo 1 5030,832056 2507,616279 -2523,215777 -50,16%Insumo 2 1 0,498449611 -0,501550389 -50,16%Producto 1 5375000 5375000 0 0,00%Producto 2 29624 41909,44923 12285,44923 41,47%22 IBAGUE 1Insumo 1 22833,79671 22833,79671 0 0,00%Insumo 2 1 1 0 0,00%


Producto 1 48927268 48927268 0 0,00%Producto 2 381828 381828 0 0,00%23 ICONONZO 0,106912194Insumo 1 3419,671463 365,6045784 -3054,066885 -89,31%Insumo 2 1 0,106912194 -0,893087806 -89,31%Producto 1 783820 783820 0 0,00%Producto 2 2942 6108,268945 3166,268945 107,62%24 LERIDA 0,581366338Insumo 1 1995,524641 1160,130852 -835,3937882 -41,86%Insumo 2 1 0,581366338 -0,418633662 -41,86%Producto 1 2488320 2488320 0 0,00%Producto 2 15218 19368,30696 4150,306965 27,27%25 LIBANO 0,648464718Insumo 1 3629,537502 2353,627013 -1275,910489 -35,15%Insumo 2 1 0,648464718 -0,351535282 -35,15%Producto 1 5045760 5045760 0 0,00%Producto 2 29766 39325,13571 9559,135714 32,11%26 MARIQUITA 1Insumo 1 1871,987147 1871,987147 0 0,00%Insumo 2 211 211 0 0,00%Producto 1 4982000 4982000 0 0,00%Producto 2 18795 18795 0 0,00%27 MELGAR 7,32E-02Insumo 1 24654,87346 1671,771793 -22983,10166 -93,22%Insumo 2 1 7,32E-02 -0,926785203 -92,68%Producto 1 3582200 3582200 0 0,00%Producto 2 26738 27955,45955 1217,459553 4,55%28 MURILLO 0,10395202Insumo 1 1696,96744 176,4031927 -1520,564247 -89,60%Insumo 2 1 0,10395202 -0,89604798 -89,60%Producto 1 378432 378432 0 0,00%Producto 2 1209 2944,117153 1735,117153 143,52%29 NATAGAIMA 0,27390297Insumo 1 3021,688603 827,6494821 -2194,039121 -72,61%Insumo 2 1 3,62E-02 -0,963753313 -96,38%Producto 1 579948 1773451,368 1193503,368 205,79%Producto 2 13840 13840 0 0,00%30 ORTEGA 2,69E-02Insumo 1 14225,44986 382,344327 -13843,10553 -97,31%Insumo 2 6 0,161264915 -5,838735085 -97,31%Producto 1 819936 819936 0 0,00%Producto 2 6147 6385,012033 238,0120329 3,87%31 PALOCABILDO7,32E-02Insumo 1 2367,840557 173,4236632 -2194,416894 -92,68%Insumo 2 361 7,60E-03 -360,992405 -100,00%Producto 1 158775 371604,6943 212829,6943 134,04%Producto 2 2900 2900 0 0,00%32 PIEDRAS 7,17E-02Insumo 1 2316,507103 166,0014552 -2150,505648 -92,83%Insumo 2 241 17,27011786 -223,7298821 -92,83%Producto 1 435156 435156 0 0,00%Producto 2 1600 1752,113983 152,1139827 9,51%33 PLANADAS 0,181213672Insumo 1 3014,91789 546,3443402 -2468,57355 -81,88%Insumo 2 1 2,39E-02 -0,976072996 -97,61%


Producto 1 1072224 1170682,926 98458,92647 9,18%Producto 2 9136 9136 0 0,00%34 PRADO 0,055869779Insumo 1 4262,695438 238,1558542 -4024,539584 -94,41%Insumo 2 601 5,616294786 -595,3837052 -99,07%Producto 1 536112 536112 0 0,00%Producto 2 3650 3650 0 0,00%35 PURIFICACION7,91E-02Insumo 1 10145,99456 802,174144 -9343,820415 -92,09%Insumo 2 1 3,51E-02 -0,964868999 -96,49%Producto 1 1295850 1718863,92 423013,9203 32,64%Producto 2 13414 13414 0 0,00%36 RIOBLANCO 8,94E-02Insumo 1 3035,030834 271,3542072 -2763,676627 -91,06%Insumo 2 31 0,392964117 -30,60703588 -98,73%Producto 1 583200 583200 0 0,00%Producto 2 4515 4515 0 0,00%37 RONCESVALLES 7,67E-02Insumo 1 1817,187282 139,3761238 -1677,811158 -92,33%Insumo 2 193 10,48846192 -182,5115381 -94,57%Producto 1 346896 346896 0 0,00%Producto 2 1709 1709 0 0,00%38 ROVIRA 0,100369196Insumo 1 4239,804686 425,5457886 -3814,258898 -89,96%Insumo 2 37 1,86E-02 -36,98136334 -99,95%Producto 1 839808 911841,036 72033,03598 8,58%Producto 2 7116 7116 0 0,00%39 SALDAÑA 6,59E-02Insumo 1 8711,741954 574,0921263 -8137,649828 -93,41%Insumo 2 641 2,51E-02 -640,9748578 -100,00%Producto 1 663000 1230139,678 567139,6776 85,54%Producto 2 9600 9600 0 0,00%40 SAN ANTONIO 0,194559752Insumo 1 2004,648104 390,0238383 -1614,624265 -80,54%Insumo 2 1 1,71E-02 -0,982919011 -98,29%Producto 1 777600 835726,1434 58126,14344 7,48%Producto 2 6522 6522 0 0,00%41 SAN LUIS 7,70E-02Insumo 1 4316,431394 332,4950232 -3983,936371 -92,30%Insumo 2 1 1,46E-02 -0,98543847 -98,54%Producto 1 213450 712455,8966 499005,8966 233,78%Producto 2 5560 5560 0 0,00%42 SANTA ISABEL0,124377718Insumo 1 1654,613602 205,7970645 -1448,816537 -87,56%Insumo 2 1 0,124377718 -0,875622282 -87,56%Producto 1 441504 441504 0 0,00%Producto 2 3240 3434,508088 194,5080884 6,00%43 SUAREZ 6,62E-02Insumo 1 1637,17231 108,3000876 -1528,872223 -93,38%Insumo 2 1 4,74E-03 -0,995257027 -99,53%Producto 1 167961 232060,7246 64099,72459 38,16%Producto 2 1811 1811 0 0,00%44 VALLE DE SAN 0,130408969JUANInsumo 1 1890,235908 246,5037162 -1643,732192 -86,96%Insumo 2 1 0,130408969 -0,869591031 -86,96%


Producto 1 528748 528748 0 0,00%Producto 2 2340 4114,954991 1774,954991 75,85%45 VENADILLO 0,557044654Insumo 1 2334,961918 1300,678054 -1034,283864 -44,30%Insumo 2 41 22,83883081 -18,16116919 -44,30%Producto 1 2891894 2891894 0 0,00%Producto 2 11510 20398,93332 8888,93332 77,23%46 VILLA HERMOSA 0,148988504Insumo 1 1817,97889 270,8579558 -1547,120934 -85,10%Insumo 2 16 2,38381607 -13,61618393 -85,10%Producto 1 591300 591300 0 0,00%Producto 2 3725 4388,633094 663,633094 17,82%47 VILLA RICA 0,283889823Insumo 1 1685,369649 478,4592913 -1206,910357 -71,61%Insumo 2 1 0,283889823 -0,716110177 -71,61%Producto 1 1026432 1026432 0 0,00%Producto 2 1215 7985,229109 6770,229109 557,22%


MunicipioDMUORTEGAATACOALPUJARRASUAREZPIEDRASPALOCABILDOSAN LUISPURIFICACIONHERVEOMURILLOALVARADOSANTA ISABELVILLA HERMOSACUNDAYCAJAMARCADOLORESNATAGAIMACASABIANCAGUAYABAL-ARMEROHONDAVENADILLOLIBANOESPINALMARIQUITA0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


MunicipioDMUVILLA RICAVENADILLOSUAREZSAN LUISSALDAÑARONCESVALLESPURIFICACIONPLANADASPALOCABILDONATAGAIMAMELGARLIBANOICONONZOHONDAGUAYABAL-ARMEROFRESNOFALANDOLORESCOYAIMACHAPARRALCARMEN DE APICALAATACOAMBALEMAALPUJARRA0,0000000 0,1000000 0,2000000 0,3000000 0,4000000 0,5000000 0,6000000 0,7000000 0,8000000 0,9000000 1,0000000Efficiency


Rank DMU Score1 MARIQUITA 11 IBAGUE 13 ESPINAL 0,7989521724 FLANDES 0,7697549945 LIBANO 0,6484647186 LERIDA 0,5813663387 VENADILLO 0,5570446548 FRESNO 0,5300412819 HONDA 0,49844961110 CHAPARRAL 0,49411629611 GUAYABAL-ARMERO 0,47809262612 GUAMO 0,3385651913 CASABIANCA 0,30934453514 VILLA RICA 0,28388982315 NATAGAIMA 0,2739029716 AMBALEMA 0,26628110217 DOLORES 0,24444001218 CARMEN DE APICALA 0,21745772519 CAJAMARCA 0,19951573720 SAN ANTONIO 0,19455975221 CUNDAY 0,19410805722 PLANADAS 0,18121367223 VILLA HERMOSA0,14898850424 VALLE DE SAN 0,130408969JUAN25 SANTA ISABEL0,12437771826 COYAIMA 0,11642000427 ALVARADO 0,11353483628 ICONONZO 0,10691219429 MURILLO 0,1039520230 ROVIRA 0,10036919631 HERVEO 9,32E-0232 RIOBLANCO 8,94E-0233 PURIFICACION7,91E-0234 ANZOATEGUI 7,82E-0235 SAN LUIS 7,70E-0236 RONCESVALLES7,67E-0237 PALOCABILDO7,32E-0238 MELGAR 7,32E-0239 PIEDRAS 7,17E-0240 FALAN 7,10E-0241 SUAREZ 6,62E-0242 SALDAÑA 6,59E-0243 ALPUJARRA 6,56E-0244 PRADO 0,05586977945 ATACO 4,95E-0246 COELLO 3,59E-0247 ORTEGA 2,69E-02


No. DMU Score Rank Reference set (lambda)1 ALPUJARRA 0,0656055 43 IBAGUE 6,85E-032 ALVARADO 0,1135348 27 IBAGUE 1,18E-03 MARIQUITA 0,1132569233 AMBALEMA 0,2662811 16 IBAGUE 1,85E-02 MARIQUITA 1,17E-034 ANZOATEGUI 0,0782196 34 IBAGUE 5,52E-03 MARIQUITA 3,59E-025 ATACO 0,0494734 45 IBAGUE 1,05E-03 MARIQUITA 8,46E-026 CAJAMARCA 0,1995157 19 IBAGUE 1,65E-02 MARIQUITA 0,154595317 CARMEN DE APICALA 0,2174577 18 IBAGUE 1,83E-02 MARIQUITA 9,44E-048 CASABIANCA 0,3093445 13 IBAGUE 6,10E-03 MARIQUITA 6,74E-029 CHAPARRAL 0,4941163 10 IBAGUE 0,07090365310 COELLO 0,0359004 46 IBAGUE 4,87E-0311 COYAIMA 0,1164200 26 IBAGUE 9,88E-03 MARIQUITA 4,02E-0212 CUNDAY 0,1941081 21 IBAGUE 1,58E-02 MARIQUITA 8,45E-0413 DOLORES 0,2444400 17 IBAGUE 9,88E-0314 ESPINAL 0,7989522 3 IBAGUE 0,158339662 MARIQUITA 7,88E-0215 FALAN 0,0709904 40 IBAGUE 6,22E-0316 FLANDES 0,7697550 4 IBAGUE 0,10078883717 FRESNO 0,5300413 8 IBAGUE 4,19E-0218 GUAMO 0,3385652 12 IBAGUE 4,34E-0219 GUAYABAL-ARMERO 0,4780926 11 IBAGUE 0,032842525 MARIQUITA 2,11E-0320 HERVEO 0,0931934 31 IBAGUE 6,40E-03 MARIQUITA 4,11E-0421 HONDA 0,4984496 9 IBAGUE 0,109669323 MARIQUITA 1,84E-0322 IBAGUE 1,0000000 1 IBAGUE 123 ICONONZO 0,1069122 28 IBAGUE 1,60E-02 MARIQUITA 4,31E-0424 LERIDA 0,5813663 6 IBAGUE 5,06E-02 MARIQUITA 2,52E-0325 LIBANO 0,6484647 5 IBAGUE 0,102864473 MARIQUITA 2,59E-0326 MARIQUITA 1,0000000 1 MARIQUITA 127 MELGAR 0,0732148 38 IBAGUE 7,32E-0228 MURILLO 0,1039520 29 IBAGUE 7,69E-03 MARIQUITA 4,56E-0429 NATAGAIMA 0,2739030 15 IBAGUE 3,62E-0230 ORTEGA 0,0268775 47 IBAGUE 0,016688493 MARIQUITA 6,85E-0431 PALOCABILDO 0,0732413 37 IBAGUE 7,60E-0332 PIEDRAS 0,0716602 39 IBAGUE 5,60E-04 MARIQUITA 0,08184624633 PLANADAS 0,1812137 22 IBAGUE 2,39E-0234 PRADO 0,0558698 44 IBAGUE 8,25E-03 MARIQUITA 2,66E-0235 PURIFICACION 0,0790631 33 IBAGUE 3,51E-0236 RIOBLANCO 0,0894074 32 IBAGUE 1,17E-02 MARIQUITA 1,81E-0337 RONCESVALLES 0,0766988 36 IBAGUE 2,03E-03 MARIQUITA 4,97E-0238 ROVIRA 0,1003692 30 IBAGUE 1,86E-0239 SALDAÑA 0,0658987 42 IBAGUE 2,51E-0240 SAN ANTONIO 0,1945598 20 IBAGUE 1,71E-0241 SAN LUIS 0,0770301 35 IBAGUE 1,46E-0242 SANTA ISABEL 0,1243777 25 IBAGUE 8,97E-03 MARIQUITA 5,47E-0443 SUAREZ 0,0661507 41 IBAGUE 4,74E-0344 VALLE DE SAN JUAN 0,1304090 24 IBAGUE 1,07E-02 MARIQUITA 5,67E-0445 VENADILLO 0,5570447 7 IBAGUE 4,81E-02 MARIQUITA 0,10801290646 VILLA HERMOSA 0,1489885 23 IBAGUE 1,09E-02 MARIQUITA 1,12E-0247 VILLA RICA 0,2838898 14 IBAGUE 2,09E-02 MARIQUITA 1,25E-03


<strong>DEA</strong> model = <strong>DEA</strong>-<strong>Solver</strong> LV3.0/ CCR(CCR-I)Problem = MunicipioNo. of DMUs = 47No. of Input items = 2Input(1) = Insumo 1Input(2) = Insumo 2No. of Output items = 2Output(1) = Producto 1Output(2) = Producto 2Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)Statistics on Input/Output DataInsumo 1 Insumo 2 Producto 1 Producto 2Max 24654,87346 641 48927268 381828Min 858,0132641 1 139968 1209Average 3985,90399 93,36170213 2424669,255 17619,40426SD 4786,067298 157,1483139 7054769,966 54837,42689CorrelationInsumo 1 Insumo 2 Producto 1 Producto 2Insumo 1 1 -0,037211303 0,60674822 0,617237238Insumo 2 -0,037211303 1 -0,126919101 -0,125484204Producto 1 0,60674822 -0,126919101 1 0,995915772Producto 2 0,617237238 -0,125484204 0,995915772 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 47Average 0,258574889SD 0,254623Maximum 1Minimum 0,026877486Frequency in Reference SetReference Frequency to other DMUsIBAGUE 45MARIQUITA 27No. of DMUs in Data = 47No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 47Average of scores = 0,258574889No. of efficient DMUs = 2No. of inefficient DMUs = 45No. of over iteration DMUs = 0[CCR-I] LP started at 07-14-2008 11:59:55 and completed at 07-14-2008 11:59:55Elapsed time = 1 secondsTotal number of simplex iterations = 148


Municipio (I) Insumo 1 (I) Insumo 2 (O) Producto 1 (O) Producto 2ALPUJARRA 2384,56 1 206893 2616ALVARADO 2105,13 361 622080 2580AMBALEMA 1595,24 1 911347 6720ANZOATEGUI 2472,46 97 449280 2180ATACO 3687,16 361 473040 1244CAJAMARCA 3337,14 361 1576753 9200CARMEN DE APICALA 1933,86 1 902016 6980CASABIANCA 858,01 46 634176 1478CHAPARRAL 3276,56 1 3188160 27073COELLO 3094,97 181 139968 1858COYAIMA 2585,36 73 684000 4225CUNDAY 1863,74 1 776000 2640DOLORES 922,56 71 223200 3771ESPINAL 4709,85 21 8139540 55329FALAN 2000,66 211 264384 2375FLANDES 2989,77 1 3668311 38484FRESNO 1806,31 181 1880000 16010GUAMO 2926,61 21 1754945 16569GUAYABAL-ARMERO 1576,83 1 1617408 8745HERVEO 1577,24 1 315360 2365HONDA 5030,83 1 5375000 29624IBAGUE 22833,80 1 48927268 381828ICONONZO 3419,67 1 783820 2942LERIDA 1995,52 1 2488320 15218LIBANO 3629,54 1 5045760 29766MARIQUITA 1871,99 211 4982000 18795MELGAR 24654,87 1 3582200 26738MURILLO 1696,97 1 378432 1209NATAGAIMA 3021,69 1 579948 13840ORTEGA 14225,45 6 819936 6147PALOCABILDO 2367,84 361 158775 2900PIEDRAS 2316,51 241 435156 1600PLANADAS 3014,92 1 1072224 9136PRADO 4262,70 601 536112 3650PURIFICACION 10145,99 1 1295850 13414RIOBLANCO 3035,03 31 583200 4515RONCESVALLES 1817,19 193 346896 1709ROVIRA 4239,80 37 839808 7116SALDAÑA 8711,74 641 663000 9600SAN ANTONIO 2004,65 1 777600 6522SAN LUIS 4316,43 1 213450 5560SANTA ISABEL 1654,61 1 441504 3240SUAREZ 1637,17 1 167961 1811VALLE DE SAN JUAN 1890,24 1 528748 2340VENADILLO 2334,96 41 2891894 11510VILLA HERMOSA 1817,98 16 591300 3725VILLA RICA 1685,37 1 1026432 1215


Municipio Eficiencia S1- S2- S1+ S2+ RankALPUJARRA 6,56 0,000000 0,000092 0,002623 0,000000 42ALVARADO 11,35 0,000000 0,026658 0,000000 0,000000 26AMBALEMA 26,63 0,000000 0,000000 0,000000 0,000965 15ANZOATEGUI 7,82 0,000000 0,000000 0,000000 0,001583 33ATACO 4,95 0,000000 0,000000 0,000000 0,001958 44CAJAMARCA 19,95 0,000000 0,061449 0,000000 0,000000 18CARMEN DE APICALA 21,75 0,000000 0,000000 0,000000 0,000106 17CASABIANCA 30,93 0,000000 0,000000 0,000000 0,005545 12CHAPARRAL 49,41 0,000000 0,000660 0,005742 0,000000 9COELLO 3,59 0,000000 0,010130 0,002005 0,000000 45COYAIMA 11,64 0,000000 0,000000 0,000000 0,000799 25CUNDAY 19,41 0,000000 0,000000 0,000000 0,008902 20DOLORES 24,44 0,000000 0,027060 0,005314 0,000000 16ESPINAL 79,90 0,000000 0,000000 0,000000 0,017311 2FALAN 7,10 0,000000 0,023358 0,000816 0,000000 39FLANDES 76,98 0,000000 0,001044 0,025814 0,000000 3FRESNO 53,00 0,000000 0,149603 0,003505 0,000000 7GUAMO 33,86 0,000000 0,011024 0,007525 0,000000 11GUAYABAL-ARMERO 47,81 0,000000 0,000000 0,000000 0,010043 10HERVEO 9,32 0,000000 0,000000 0,000000 0,000230 30HONDA 49,84 0,000000 0,000000 0,000000 0,032175 8IBAGUE 100,00 0,000000 0,000000 0,000000 0,000000 1ICONONZO 10,69 0,000000 0,000000 0,000000 0,008292 27LERIDA 58,14 0,000000 0,000000 0,000000 0,010870 5LIBANO 64,85 0,000000 0,000000 0,000000 0,025035 4MARIQUITA 100,00 0,000000 0,000000 0,000000 0,000000 1MELGAR 7,32 0,005408 0,000000 0,000000 0,003189 36MURILLO 10,40 0,000000 0,000000 0,000000 0,004544 28NATAGAIMA 27,39 0,000000 0,000371 0,024393 0,000000 14ORTEGA 2,69 0,000000 0,000000 0,000000 0,000623 46PALOCABILDO 7,32 0,000000 0,041236 0,004350 0,000000 37PIEDRAS 7,17 0,000000 0,000000 0,000000 0,000398 38PLANADAS 18,12 0,000000 0,000245 0,002012 0,000000 21PRADO 5,59 0,000000 0,043622 0,000000 0,000000 43PURIFICACION 7,91 0,000000 0,000069 0,008646 0,000000 32RIOBLANCO 8,94 0,000000 0,003711 0,000000 0,000000 31RONCESVALLES 7,67 0,000000 0,006731 0,000000 0,000000 35ROVIRA 10,04 0,000000 0,005764 0,001472 0,000000 29SALDAÑA 6,59 0,000000 0,065859 0,011591 0,000000 41SAN ANTONIO 19,46 0,000000 0,000277 0,001188 0,000000 19SAN LUIS 7,70 0,000000 0,000097 0,010199 0,000000 34SANTA ISABEL 12,44 0,000000 0,000000 0,000000 0,000509 24SUAREZ 6,62 0,000000 0,000096 0,001310 0,000000 40VALLE DE SAN JUAN 13,04 0,000000 0,000000 0,000000 0,004649 23VENADILLO 55,70 0,000000 0,000000 0,000000 0,023280 6VILLA HERMOSA 14,90 0,000000 0,000000 0,000000 0,001738 22VILLA RICA 28,39 0,000000 0,000000 0,000000 0,017731 13


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O)No. DMU Score RTS RTS of Projected DMU RTS Efficient Projected Total1 ALPUJARRA 0,566737205 Increasing No. of IRS 3 43 462 ALVARADO 0,289831756 Increasing No. of CRS 1 0 13 AMBALEMA 0,353357627 Increasing No. of DRS 0 0 04 ANZOATEGUI 0,351819771 Increasing Total 4 43 475 ATACO 0,381083784 Increasing6 CAJAMARCA 0,456900713 Increasing7 CARMEN DE APICALA 0,637134778 Increasing8 CASABIANCA 1 Increasing9 CHAPARRAL 0,349254614 Increasing10 COELLO 0,27319246 Increasing11 COYAIMA 0,12640467 Increasing12 CUNDAY 0,319997377 Increasing13 DOLORES 0,388853864 Increasing14 ESPINAL 0,513317877 Increasing15 FALAN 0,667214222 Increasing16 FLANDES 0,366133858 Increasing17 FRESNO 0,547911405 Increasing18 GUAMO 0,308602309 Increasing19 GUAYABAL (ARMERO) 0,404479643 Increasing20 HERVEO 1 Increasing21 HONDA 0,53622503 Increasing22 IBAGUE 1 Constant23 ICONONZO 0,326312083 Increasing24 LERIDA 0,604469489 Increasing25 LIBANO 0,571904813 Increasing26 MARIQUITA 0,744440614 Increasing27 MELGAR 0,605475495 Increasing28 MURILLO 0,490247496 Increasing29 NATAGAIMA 0,382232244 Increasing30 ORTEGA 0,272008439 Increasing31 PALOCABILDO0,577372185 Increasing32 PIEDRAS 0,747716423 Increasing33 PLANADAS 0,294080361 Increasing34 PRADO 0,72106782 Increasing35 PURIFICACION0,453320767 Increasing36 RIOBLANCO 0,246617788 Increasing37 RONCESVALLES 1 Increasing38 ROVIRA 0,312479433 Increasing39 SALDAÑA 0,401881185 Increasing40 SAN ANTONIO 0,295367589 Increasing41 SAN LUIS 0,27883414 Increasing42 SANTA ISABEL0,434810739 Increasing43 SUAREZ 0,813816832 Increasing44 VALLE DE SAN 0,38426348 JUANIncreasing45 VENADILLO 0,458508699 Increasing46 VILLA HERMOSA 0,606323926 Increasing47 VILLA RICA 0,934991864 Increasing


Excess Excess ShortageNo. DMU Score X1j X2j Y1jS-(1) S-(2) S+(1)1 ALPUJARRA 0,566737205 0 406,0286299 02 ALVARADO 0,289831756 0 200,1596303 03 AMBALEMA 0,353357627 0 0 04 ANZOATEGUI 0,351819771 0 0 05 ATACO 0,381083784 0 886,4583714 06 CAJAMARCA 0,456900713 0 0 07 CARMEN DE APICALA 0,637134778 0 497,1353524 08 CASABIANCA 1 0 0 09 CHAPARRAL 0,349254614 0 93,23639568 010 COELLO 0,27319246 0 1090,868116 011 COYAIMA 0,12640467 0 787,6516897 012 CUNDAY 0,319997377 0 0 013 DOLORES 0,388853864 0 0 014 ESPINAL 0,513317877 0 1516,44671 015 FALAN 0,667214222 0 0 016 FLANDES 0,366133858 0 440,6937216 017 FRESNO 0,547911405 7,098803196 0 018 GUAMO 0,308602309 5,496164256 0 019 GUAYABAL (ARMERO) 0,404479643 0 240,0368167 020 HERVEO 1 0 0 021 HONDA 0,53622503 0 68,37820269 022 IBAGUE 1 0 0 023 ICONONZO 0,326312083 0 929,3888917 024 LERIDA 0,604469489 25,07343232 0 025 LIBANO 0,571904813 0 0 026 MARIQUITA 0,744440614 0,868380838 0 027 MELGAR 0,605475495 0 18646,10005 028 MURILLO 0,490247496 0 0 029 NATAGAIMA 0,382232244 0 0 030 ORTEGA 0,272008439 0 3754,382905 031 PALOCABILDO0,577372185 0 0 032 PIEDRAS 0,747716423 0 1816,662139 033 PLANADAS 0,294080361 0 450,2883388 034 PRADO 0,72106782 0 18,07164736 035 PURIFICACION0,453320767 0 5988,142994 036 RIOBLANCO 0,246617788 0 1026,900742 037 RONCESVALLES1 0 0 038 ROVIRA 0,312479433 0 0 039 SALDAÑA 0,401881185 0 0 040 SAN ANTONIO 0,295367589 0 394,713366 041 SAN LUIS 0,27883414 0 1047,700014 042 SANTA ISABEL0,434810739 0 0 043 SUAREZ 0,813816832 0 0 044 VALLE DE SAN 0,38426348 JUAN0 0 045 VENADILLO 0,458508699 0 0 046 VILLA HERMOSA0,606323926 0 58,20898241 047 VILLA RICA 0,934991864 0 0 0


No. DMU Score VX(0) VX(1) X1j VX(2) X2j UY(1) Y1j1 ALPUJARRA 0,566737205 -1,653030192 3,417516433 0 12 ALVARADO 0,289831756 -1,264081911 4,714359462 0 13 AMBALEMA 0,353357627 -2,312393891 4,285823953 0,856564036 14 ANZOATEGUI 0,351819771 -1,734295418 3,781609371 0,795050468 15 ATACO 0,381083784 -0,795903426 3,419998289 0 16 CAJAMARCA 0,456900713 -0,603233189 2,384058081 0,407834418 17 CARMEN DE APICALA 0,637134778 -1,161588783 2,731115411 0 18 CASABIANCA 1 -2,387710277 3,387734154 0 19 CHAPARRAL 0,349254614 -0,199901326 3,063141952 0 110 COELLO 0,27319246 -1,302387424 4,962810554 0 111 COYAIMA 0,12640467 -0,955084111 8,866184244 0 112 CUNDAY 0,319997377 -1,4604593 3,821415785 0,764069127 113 DOLORES 0,388853864 -1,641238004 1,723136742 2,489761449 114 ESPINAL 0,513317877 -0,100889167 2,048999772 0 115 FALAN 0,667214222 -1,312990403 1,120985661 1,690773754 116 FLANDES 0,366133858 -0,425532525 3,156774061 0 117 FRESNO 0,547911405 -0,343567237 0 2,16867982 118 GUAMO 0,308602309 -0,436616698 0 3,677033148 119 GUAYABAL (ARMERO) 0,404479643 -0,613982643 3,086294952 0 120 HERVEO 1 -1,103031657 0 2,103042687 121 HONDA 0,53622503 -0,266948975 2,131837677 0 122 IBAGUE 1 0 1 0 123 ICONONZO 0,326312083 -0,661212077 3,725763013 0 124 LERIDA 0,604469489 -0,641559229 0 2,295902446 125 LIBANO 0,571904813 -0,203880497 0,842103547 1,110319676 126 MARIQUITA 0,744440614 -0,239972536 0 1,583263031 127 MELGAR 0,605475495 -0,20965261 1,861247113 0 128 MURILLO 0,490247496 -3,264556081 4,359973157 0,94436897 129 NATAGAIMA 0,382232244 -0,59039844 2,719540356 0,487068558 130 ORTEGA 0,272008439 -0,383739152 4,060095678 0 131 PALOCABILDO0,577372185 -1,353596424 2,471881247 0,613700238 132 PIEDRAS 0,747716423 -1,302387424 2,639792848 0 133 PLANADAS 0,294080361 -0,565510329 3,965941412 0 134 PRADO 0,72106782 -0,641474403 2,028306504 0 135 PURIFICACION0,453320767 -0,333168876 2,539112376 0 136 RIOBLANCO 0,246617788 -0,767478303 4,822335863 0 137 RONCESVALLES1 -2,642735875 3,025287496 0,617474807 138 ROVIRA 0,312479433 -0,603233189 3,239030635 0,564413171 139 SALDAÑA 0,401881185 -0,973639533 2,839524229 0,622412935 140 SAN ANTONIO 0,295367589 -0,914442234 4,300054051 0 141 SAN LUIS 0,27883414 -0,754013772 4,340375187 0 142 SANTA ISABEL0,434810739 -1,734295418 3,356178316 0,6779683 143 SUAREZ 0,813816832 -2,134517438 2,792573074 0,570722095 144 VALLE DE SAN 0,38426348 JUAN -3,264556081 4,804868377 1,062068759 145 VENADILLO 0,458508699 -0,711505813 2,424108571 0,468380946 146 VILLA HERMOSA0,606323926 -0,8595757 2,508859122 0 147 VILLA RICA 0,934991864 -1,08818536 1,77958088 0,378132503 1


No. DMU Score V(0) V(1) X1j V(2) X2j U(1) Y1j1 ALPUJARRA 0,566737205 -1,653046722 0,067010126 0 3,85E-022 ALVARADO 0,289831756 -1,264094552 5,12E-02 0 2,94E-023 AMBALEMA 0,353357627 -2,312417015 0,063026823 1,61E-03 4,17E-024 ANZOATEGUI 0,351819771 -1,734312761 4,73E-02 1,21E-03 0,031255 ATACO 0,381083784 -0,795911385 3,23E-02 0 1,85E-026 CAJAMARCA 0,456900713 -0,603239221 1,64E-02 4,21E-04 1,09E-027 CARMEN DE APICALA 0,637134778 -1,161600399 4,71E-02 0 0,0270270278 CASABIANCA 1 -2,387734154 9,68E-02 0 5,56E-029 CHAPARRAL 0,349254614 -0,199903325 8,10E-03 0 4,65E-0310 COELLO 0,27319246 -1,302400448 5,28E-02 0 3,03E-0211 COYAIMA 0,12640467 -0,955093662 3,87E-02 0 2,22E-0212 CUNDAY 0,319997377 -1,460473904 3,98E-02 1,02E-03 2,63E-0213 DOLORES 0,388853864 -1,641254416 1,89E-02 4,09E-03 0,02514 ESPINAL 0,513317877 -0,100890176 4,09E-03 0 2,35E-0315 FALAN 0,667214222 -1,313003533 1,51E-02 3,27E-03 0,0216 FLANDES 0,366133858 -0,42553678 1,73E-02 0 9,90E-0317 FRESNO 0,547911405 -0,343570673 0 1,57E-03 5,46E-0318 GUAMO 0,308602309 -0,436621064 0 2,00E-03 6,94E-0319 GUAYABAL (ARMERO) 0,404479643 -0,613988783 2,49E-02 0 1,43E-0220 HERVEO 1 -1,103042687 0 5,05E-03 1,75E-0221 HONDA 0,53622503 -0,266951645 1,08E-02 0 6,21E-0322 IBAGUE 1 0 4,55E-04 0 2,64E-0423 ICONONZO 0,326312083 -0,661218689 2,68E-02 0 1,54E-0224 LERIDA 0,604469489 -0,641565645 0 2,94E-03 1,02E-0225 LIBANO 0,571904813 -0,203882536 2,35E-03 5,08E-04 3,11E-0326 MARIQUITA 0,744440614 -0,239974936 0 1,10E-03 3,82E-0327 MELGAR 0,605475495 -0,209654706 8,50E-03 0 4,88E-0328 MURILLO 0,490247496 -3,264588727 8,90E-02 2,28E-03 5,88E-0229 NATAGAIMA 0,382232244 -0,590404344 1,61E-02 4,12E-04 1,06E-0230 ORTEGA 0,272008439 -0,383742989 1,56E-02 0 8,93E-0331 PALOCABILDO0,577372185 -1,35360996 3,69E-02 9,44E-04 0,02439024432 PIEDRAS 0,747716423 -1,302400448 5,28E-02 0 3,03E-0233 PLANADAS 0,294080361 -0,565515984 2,29E-02 0 1,32E-0234 PRADO 0,72106782 -0,641480818 2,60E-02 0 1,49E-0235 PURIFICACION0,453320767 -0,333172208 1,35E-02 0 7,75E-0336 RIOBLANCO 0,246617788 -0,767485978 3,11E-02 0 1,79E-0237 RONCESVALLES1 -2,642762303 7,20E-02 1,84E-03 4,76E-0238 ROVIRA 0,312479433 -0,603239221 1,64E-02 4,21E-04 1,09E-0239 SALDAÑA 0,401881185 -0,97364927 2,65E-02 6,79E-04 1,75E-0240 SAN ANTONIO 0,295367589 -0,914451378 3,71E-02 0 2,13E-0241 SAN LUIS 0,27883414 -0,754021312 3,06E-02 0 1,75E-0242 SANTA ISABEL0,434810739 -1,734312761 4,73E-02 1,21E-03 0,0312543 SUAREZ 0,813816832 -2,134538783 5,82E-02 1,49E-03 3,85E-0244 VALLE DE SAN 0,38426348 JUAN -3,264588727 8,90E-02 2,28E-03 5,88E-0245 VENADILLO 0,458508699 -0,711512928 1,94E-02 4,96E-04 1,28E-0246 VILLA HERMOSA0,606323926 -0,859584296 3,48E-02 0 0,0247 VILLA RICA 0,934991864 -1,088196242 2,97E-02 7,59E-04 1,96E-02


No. DMU 1/ScoreI/O Data Projection Difference %1 ALPUJARRA 1,764486241X1j 51 51 0 0,00%X2j 1032,162283 626,1336533 -406,0286299 -39,34%Y1j 26 45,87664226 19,87664226 76,45%2 ALVARADO 3,450277551X1j 92 92 0 0,00%X2j 1069,580617 869,4209869 -200,1596303 -18,71%Y1j 34 117,3094367 83,30943672 245,03%3 AMBALEMA 2,829994099X1j 68 68 0 0,00%X2j 531,2487167 531,2487167 0 0,00%Y1j 24 67,91985837 43,91985837 183,00%4 ANZOATEGUI 2,84236442X1j 80 80 0 0,00%X2j 657,4632645 657,4632645 0 0,00%Y1j 32 90,95566145 58,95566145 184,24%5 ATACO 2,624094864X1j 106 106 0 0,00%X2j 1838,953082 952,4947106 -886,4583714 -48,20%Y1j 54 141,7011226 87,70112263 162,41%6 CAJAMARCA 2,18865931X1j 145 145 0 0,00%X2j 969,6131956 969,6131956 0 0,00%Y1j 92 201,3566566 109,3566566 118,87%7 CARMEN DE APICALA 1,569526628X1j 58 58 0 0,00%X2j 1164,805867 667,6705151 -497,1353524 -42,68%Y1j 37 58,07248522 21,07248522 56,95%8 CASABIANCA 1X1j 35 35 0 0,00%X2j 531,1954899 531,1954899 0 0,00%Y1j 18 18 0 0,00%9 CHAPARRAL 2,863240626X1j 378 378 0 0,00%X2j 2659,734881 2566,498485 -93,23639568 -3,51%Y1j 215 615,5967346 400,5967346 186,32%10 COELLO 3,66042313X1j 94 94 0 0,00%X2j 1972,156777 881,2886617 -1090,868116 -55,31%Y1j 33 120,7939633 87,79396328 266,04%11 COYAIMA 7,911100133X1j 229 229 0 0,00%X2j 2470,008401 1682,356712 -787,6516897 -31,89%Y1j 45 355,999506 310,999506 691,11%12 CUNDAY 3,125025613X1j 96 96 0 0,00%X2j 750,3140256 750,3140256 0 0,00%Y1j 38 118,7509733 80,75097329 212,50%13 DOLORES 2,571660187X1j 91 91 0 0,00%X2j 608,5526225 608,5526225 0 0,00%Y1j 40 102,8664075 62,86640749 157,17%14 ESPINAL 1,948110606X1j 501 501 0 0,00%X2j 4812,807196 3296,360486 -1516,44671 -31,51%Y1j 426 829,895118 403,895118 94,81%15 FALAN 1,498769012X1j 74 74 0 0,00%X2j 516,5780051 516,5780051 0 0,00%Y1j 50 74,93845058 24,93845058 49,88%


16 FLANDES 2,731241536X1j 183 183 0 0,00%X2j 1850,093912 1409,400191 -440,6937216 -23,82%Y1j 101 275,8553952 174,8553952 173,12%17 FRESNO 1,825112583X1j 237 229,9011968 -7,098803196 -3,00%X2j 1378,007136 1378,007136 0 0,00%Y1j 183 333,9956027 150,9956027 82,51%18 GUAMO 3,24041645X1j 311 305,5038357 -5,496164256 -1,77%X2j 1838,505679 1838,505679 0 0,00%Y1j 144 466,6199688 322,6199688 224,04%19 GUAYABAL (ARMERO) 2,472312309X1j 124 124 0 0,00%X2j 1299,340601 1059,303784 -240,0368167 -18,47%Y1j 70 173,0618617 103,0618617 147,23%20 HERVEO 1X1j 72 72 0 0,00%X2j 416,2247319 416,2247319 0 0,00%Y1j 57 57 0 0,00%21 HONDA 1,864888702X1j 197 197 0 0,00%X2j 1560,852117 1492,473915 -68,37820269 -4,38%Y1j 161 300,2470811 139,2470811 86,49%22 IBAGUE 1X1j 2200 2200 0 0,00%X2j 13377,95347 13377,95347 0 0,00%Y1j 3790 3790 0 0,00%23 ICONONZO 3,064550936X1j 139 139 0 0,00%X2j 2077,700237 1148,311345 -929,3888917 -44,73%Y1j 65 199,1958109 134,1958109 206,46%24 LERIDA 1,654343217X1j 157 131,9265677 -25,07343232 -15,97%X2j 781,2399527 781,2399527 0 0,00%Y1j 98 162,1256353 64,12563531 65,43%25 LIBANO 1,748542726X1j 358 358 0 0,00%X2j 2184,662312 2184,662312 0 0,00%Y1j 322 563,0307578 241,0307578 74,85%26 MARIQUITA 1,343290494X1j 241 240,1316192 -0,868380838 -0,36%X2j 1440,321027 1440,321027 0 0,00%Y1j 262 351,9421096 89,94210955 34,33%27 MELGAR 1,651594503X1j 219 219 0 0,00%X2j 20269,11839 1623,018338 -18646,10005 -91,99%Y1j 205 338,5768732 133,5768732 65,16%28 MURILLO 2,039786045X1j 49 49 0 0,00%X2j 414,8751725 414,8751725 0 0,00%Y1j 17 34,67636277 17,67636277 103,98%29 NATAGAIMA 2,616210473X1j 169 169 0 0,00%X2j 1183,163503 1183,163503 0 0,00%Y1j 94 245,9237845 151,9237845 161,62%30 ORTEGA 3,676356526X1j 261 261 0 0,00%X2j 5626,622414 1872,239509 -3754,382905 -66,73%Y1j 112 411,7519309 299,7519309 267,64%31 PALOCABILDO1,731985062X1j 67 67 0 0,00%


X2j 650,2299429 650,2299429 0 0,00%Y1j 41 71,01138752 30,01138752 73,20%32 PIEDRAS 1,337405424X1j 50 50 0 0,00%X2j 2436,861955 620,1998159 -1816,662139 -74,55%Y1j 33 44,13437898 11,13437898 33,74%33 PLANADAS 3,400431084X1j 173 173 0 0,00%X2j 1800,350156 1350,061817 -450,2883388 -25,01%Y1j 76 258,4327624 182,4327624 240,04%34 PRADO 1,386832102X1j 78 78 0 0,00%X2j 804,4189106 786,3472632 -18,07164736 -2,25%Y1j 67 92,91775081 25,91775081 38,68%35 PURIFICACION2,2059435X1j 188 188 0 0,00%X2j 7427,212372 1439,069378 -5988,142994 -80,62%Y1j 129 284,5667115 155,5667115 120,59%36 RIOBLANCO 4,054857559X1j 155 155 0 0,00%X2j 2270,153486 1243,252744 -1026,900742 -45,23%Y1j 56 227,0720233 171,0720233 305,49%37 RONCESVALLES 1X1j 42 42 0 0,00%X2j 335,0929984 335,0929984 0 0,00%Y1j 21 21 0 0,00%38 ROVIRA 3,200210617X1j 197 197 0 0,00%X2j 1341,874139 1341,874139 0 0,00%Y1j 92 294,4193767 202,4193767 220,02%39 SALDAÑA 2,488297631X1j 107 107 0 0,00%X2j 916,8119834 916,8119834 0 0,00%Y1j 57 141,832965 84,83296497 148,83%40 SAN ANTONIO 3,385611818X1j 116 116 0 0,00%X2j 1406,546451 1011,833085 -394,713366 -28,06%Y1j 47 159,1237554 112,1237554 238,56%41 SAN LUIS 3,586361416X1j 142 142 0 0,00%X2j 2213,812872 1166,112857 -1047,700014 -47,33%Y1j 57 204,4226007 147,4226007 258,64%42 SANTA ISABEL2,299851199X1j 71 71 0 0,00%X2j 560,6427139 560,6427139 0 0,00%Y1j 32 73,59523835 41,59523835 129,99%43 SUAREZ 1,228777731X1j 48 48 0 0,00%X2j 383,4642225 383,4642225 0 0,00%Y1j 26 31,948221 5,948220999 22,88%44 VALLE DE SAN 2,602381054JUANX1j 54 54 0 0,00%X2j 466,5824202 466,5824202 0 0,00%Y1j 17 44,24047792 27,24047792 160,24%45 VENADILLO 2,180983704X1j 125 125 0 0,00%X2j 944,1057392 944,1057392 0 0,00%Y1j 78 170,1167289 92,1167289 118,10%46 VILLA HERMOSA 1,649283423X1j 72 72 0 0,00%X2j 808,9532212 750,7442388 -58,20898241 -7,20%Y1j 50 82,46417113 32,46417113 64,93%


47 VILLA RICA 1,069528023X1j 60 60 0 0,00%X2j 498,3575034 498,3575034 0 0,00%Y1j 51 54,54592916 3,545929159 6,95%


DMUjDMUCOYAIMAORTEGASAN LUISPLANADASGUAMOCUNDAYCHAPARRALAMBALEMAATACOVALLE DE SAN JUANSALDAÑASANTA ISABELCAJAMARCAMURILLOHONDAALPUJARRAPALOCABILDOMELGARCARMEN DE APICALAPRADOPIEDRASVILLA RICAHERVEORONCESVALLES0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


DMUjDMUVILLA RICAVENADILLOSUAREZSAN LUISSALDAÑARONCESVALLESPURIFICACIONPLANADASPALOCABILDONATAGAIMAMELGARLIBANOICONONZOHONDAGUAYABAL (ARMERO)FRESNOFALANDOLORESCOYAIMACHAPARRALCARMEN DE APICALAATACOAMBALEMAALPUJARRA0,000000000 0,100000000 0,200000000 0,300000000 0,400000000 0,500000000 0,600000000 0,700000000 0,800000000 0,900000000 1,000000000Efficiency


Rank DMU Score1 RONCESVALLES11 IBAGUE 11 HERVEO 11 CASABIANCA 15 VILLA RICA 0,9349918646 SUAREZ 0,8138168327 PIEDRAS 0,7477164238 MARIQUITA 0,7444406149 PRADO 0,7210678210 FALAN 0,66721422211 CARMEN DE APICALA 0,63713477812 VILLA HERMOSA0,60632392613 MELGAR 0,60547549514 LERIDA 0,60446948915 PALOCABILDO0,57737218516 LIBANO 0,57190481317 ALPUJARRA 0,56673720518 FRESNO 0,54791140519 HONDA 0,5362250320 ESPINAL 0,51331787721 MURILLO 0,49024749622 VENADILLO 0,45850869923 CAJAMARCA 0,45690071324 PURIFICACION0,45332076725 SANTA ISABEL0,43481073926 GUAYABAL (ARMERO) 0,40447964327 SALDAÑA 0,40188118528 DOLORES 0,38885386429 VALLE DE SAN 0,38426348JUAN30 NATAGAIMA 0,38223224431 ATACO 0,38108378432 FLANDES 0,36613385833 AMBALEMA 0,35335762734 ANZOATEGUI 0,35181977135 CHAPARRAL 0,34925461436 ICONONZO 0,32631208337 CUNDAY 0,31999737738 ROVIRA 0,31247943339 GUAMO 0,30860230940 SAN ANTONIO 0,29536758941 PLANADAS 0,29408036142 ALVARADO 0,28983175643 SAN LUIS 0,2788341444 COELLO 0,2731924645 ORTEGA 0,27200843946 RIOBLANCO 0,24661778847 COYAIMA 0,12640467


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU Score Rank 1/Score Reference set (lambda)1 ALPUJARRA 0,566737205 17 1,764486241 CASABIANCA 0,9925995382 ALVARADO 0,289831756 42 3,450277551 CASABIANCA 0,9736618943 AMBALEMA 0,353357627 33 2,829994099 CASABIANCA 0,1636407944 ANZOATEGUI 0,351819771 34 2,842364420 CASABIANCA 0,388828555 ATACO 0,381083784 31 2,624094864 CASABIANCA 0,9671953816 CAJAMARCA 0,456900713 23 2,188659310 CASABIANCA 5,03E-027 CARMEN DE APICALA 0,637134778 11 1,569526628 CASABIANCA 0,9893662828 CASABIANCA 1,000000000 1 1,000000000 CASABIANCA 19 CHAPARRAL 0,349254614 35 2,863240626 CASABIANCA 0,84156027710 COELLO 0,273192460 44 3,660423130 CASABIANCA 0,97273810611 COYAIMA 0,126404670 47 7,911100133 CASABIANCA 0,91038244812 CUNDAY 0,319997377 37 3,125025613 CASABIANCA 0,37266917213 DOLORES 0,388853864 28 2,571660187 HERVEO 0,22651128914 ESPINAL 0,513317877 20 1,948110606 CASABIANCA 0,78474734415 FALAN 0,667214222 10 1,498769012 HERVEO 0,1189857416 FLANDES 0,366133858 32 2,731241536 CASABIANCA 0,93162956117 FRESNO 0,547911405 18 1,825112583 HERVEO 0,92578797118 GUAMO 0,308602309 39 3,240416450 HERVEO 0,89026041619 GUAYABAL (ARMERO) 0,404479643 26 2,472312309 CASABIANCA 0,95888129320 HERVEO 1,000000000 1 1,000000000 HERVEO 121 HONDA 0,536225030 19 1,864888702 CASABIANCA 0,92516304822 IBAGUE 1,000000000 1 1,000000000 IBAGUE 123 ICONONZO 0,326312083 36 3,064550936 CASABIANCA 0,95195288724 LERIDA 0,604469489 14 1,654343217 HERVEO 0,97182868125 LIBANO 0,571904813 16 1,748542726 HERVEO 0,60207886526 MARIQUITA 0,744440614 8 1,343290494 HERVEO 0,92098044227 MELGAR 0,605475495 13 1,651594503 CASABIANCA 0,91500138628 MURILLO 0,490247496 21 2,039786045 CASABIANCA 0,15718825929 NATAGAIMA 0,382232244 30 2,616210473 CASABIANCA 0,33760596430 ORTEGA 0,272008439 45 3,676356526 CASABIANCA 0,89560184831 PALOCABILDO 0,577372185 15 1,731985062 CASABIANCA 0,68805286432 PIEDRAS 0,747716423 7 1,337405424 CASABIANCA 0,99306143233 PLANADAS 0,294080361 41 3,400431084 CASABIANCA 0,93624849934 PRADO 0,721067820 9 1,386832102 CASABIANCA 0,98012840635 PURIFICACION 0,453320767 24 2,205943500 CASABIANCA 0,92932009236 RIOBLANCO 0,246617788 46 4,054857559 CASABIANCA 0,94456258737 RONCESVALLES 1,000000000 1 1,000000000 RONCESVALLES 138 ROVIRA 0,312479433 38 3,200210617 CASABIANCA 0,29347959239 SALDAÑA 0,401881185 27 2,488297631 CASABIANCA 0,79217482540 SAN ANTONIO 0,295367589 40 3,385611818 CASABIANCA 0,96257644341 SAN LUIS 0,278834140 43 3,586361416 CASABIANCA 0,95056720642 SANTA ISABEL 0,434810739 25 2,299851199 CASABIANCA 0,21087922943 SUAREZ 0,813816832 6 1,228777731 CASABIANCA 5,08E-0244 VALLE DE SAN JUAN 0,384263480 29 2,602381054 CASABIANCA 0,24731636745 VENADILLO 0,458508699 22 2,180983704 CASABIANCA 0,45033759446 VILLA HERMOSA 0,606323926 12 1,649283423 CASABIANCA 0,98289976947 VILLA RICA 0,934991864 5 1,069528023 CASABIANCA 0,228488891


IBAGUE 7,39E-03IBAGUE 2,63E-02IBAGUE 1,26E-02 RONCESVALLES 0,82377001IBAGUE 1,89E-02 RONCESVALLES0,592291098IBAGUE 3,28E-02IBAGUE 4,79E-02 RONCESVALLES0,901791605IBAGUE 1,06E-02IBAGUE 0,15842972IBAGUE 2,73E-02IBAGUE 8,96E-02IBAGUE 2,62E-02 RONCESVALLES 0,60108862IBAGUE 1,96E-02 RONCESVALLES0,753921212IBAGUE 0,21524266IBAGUE 1,32E-02 RONCESVALLES0,867829632IBAGUE 6,84E-02IBAGUE 7,42E-02IBAGUE 0,10972958IBAGUE 4,11E-02IBAGUE7,48E-02IBAGUE 4,80E-02IBAGUE 2,82E-02IBAGUE 0,13806212 RONCESVALLES0,259849015IBAGUE 7,90E-02IBAGUE 8,50E-02IBAGUE 3,75E-03 RONCESVALLES0,839047924IBAGUE 5,99E-02 RONCESVALLES0,602437946IBAGUE 0,10438815IBAGUE 1,38E-02 RONCESVALLES0,298120273IBAGUE 6,93E-03IBAGUE 6,37E-02IBAGUE 1,99E-02IBAGUE 7,07E-02IBAGUE 5,54E-02IBAGUE 7,28E-02 RONCESVALLES0,633732476IBAGUE 0,03269029 RONCESVALLES0,175124886IBAGUE 3,74E-02IBAGUE 4,94E-02IBAGUE 1,41E-02 RONCESVALLES 0,77498817IBAGUE 2,95E-03 RONCESVALLES0,946257072IBAGUE 6,36E-03 RONCESVALLES0,746310503IBAGUE 3,99E-02 RONCESVALLES0,509729893IBAGUE 1,71E-02IBAGUE 9,08E-03 RONCESVALLES0,762418699


<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo dData File = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo de Grado<strong>DEA</strong> model = <strong>DEA</strong>-<strong>Solver</strong> LV3.0/ <strong>BCC</strong>(<strong>BCC</strong>-O)Problem = DMUjNo. of DMUs = 47No. of Input items = 2Input(1) = X1jInput(2) = X2jNo. of Output items = 1Output(1) = Y1jReturns to Scale = Variable (Sum of Lambda = 1)Statistics on Input/Output DataX1j X2j Y1jMax 2200 20269,11839 3790Min 35 335,0929984 17Average 186,3829787 2181,900557 165,4255319SD 312,5069908 3442,674357 540,7387675CorrelationX1j X2j Y1jX1j 1 0,556667084 0,981893989X2j 0,556667084 1 0,527490529Y1j 0,981893989 0,527490529 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 47Average 0,506319082SD 0,223176205Maximum 1Minimum 0,12640467Frequency in Reference SetReference Frequency to other DMUsCASABIANCA 36HERVEO 7IBAGUE 43RONCESVALLES 17No. of DMUs in Data = 47No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 47Average of scores = 0,506319082No. of efficient DMUs = 4No. of inefficient DMUs = 43No. of over iteration DMUs = 0[<strong>BCC</strong>-O] LP started at 05-16-2008 15:25:33 and completed at 05-16-2008 15:25:34Elapsed time = 0 secondsTotal number of simplex iterations = 221


is Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Educación Calidad-<strong>BCC</strong>-O.xlsxvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Educación Calidad-<strong>BCC</strong>-O.xlsxHoja1


cación Calidad-<strong>BCC</strong>-O.xlsxCalidad-<strong>BCC</strong>-O.xlsxHoja1


DMU j (I) X 1j (I) X 2j (O) Y 1jALPUJARRA 51 1032,16 26ALVARADO 92 1069,58 34AMBALEMA 68 531,25 24ANZOATEGUI 80 657,46 32ATACO 106 1838,95 54CAJAMARCA 145 969,61 92CARMEN DE APICALA 58 1164,81 37CASABIANCA 35 531,20 18CHAPARRAL 378 2659,73 215COELLO 94 1972,16 33COYAIMA 229 2470,01 45CUNDAY 96 750,31 38DOLORES 91 608,55 40ESPINAL 501 4812,81 426FALAN 74 516,58 50FLANDES 183 1850,09 101FRESNO 237 1378,01 183GUAMO 311 1838,51 144GUAYABAL (ARMERO) 124 1299,34 70HERVEO 72 416,22 57HONDA 197 1560,85 161IBAGUE 2200 13377,95 3790ICONONZO 139 2077,70 65LERIDA 157 781,24 98LIBANO 358 2184,66 322MARIQUITA 241 1440,32 262MELGAR 219 20269,12 205MURILLO 49 414,88 17NATAGAIMA 169 1183,16 94ORTEGA 261 5626,62 112PALOCABILDO 67 650,23 41PIEDRAS 50 2436,86 33PLANADAS 173 1800,35 76PRADO 78 804,42 67PURIFICACION 188 7427,21 129RIOBLANCO 155 2270,15 56RONCESVALLES 42 335,09 21ROVIRA 197 1341,87 92SALDAÑA 107 916,81 57SAN ANTONIO 116 1406,55 47SAN LUIS 142 2213,81 57SANTA ISABEL 71 560,64 32SUAREZ 48 383,46 26VALLE DE SAN JUAN 54 466,58 17VENADILLO 125 944,11 78VILLA HERMOSA 72 808,95 50VILLA RICA 60 498,36 518760 102549 77751,13 13,19400035003000250020001500100050000 500 1000 1500 2000 2500


jDMUConjunto de Municipios de referencia λjj λj j λj j λj1 ALPUJARRA 8 0,992600 22 0,0073902 ALVARADO 8 0,973662 22 0,0263283 AMBALEMA 8 0,163641 22 0,012579 37 0,8237704 ANZOATEGUI 8 0,388829 22 0,018870 37 0,5922915 ATACO 8 0,967195 22 0,0327956 CAJAMARCA 8 0,050306 22 0,047893 37 0,9017927 CARMEN DE APICALA 8 0,989366 22 0,0106248 CASABIANCA 8 1,0000009 CHAPARRAL 8 0,841560 22 0,15843010 COELLO 8 0,972738 22 0,02725211 COYAIMA 8 0,910382 22 0,08960812 CUNDAY 8 0,372669 22 0,026232 37 0,60108913 DOLORES 20 0,226511 22 0,019557 37 0,75392114 ESPINAL 8 0,784747 22 0,21524315 FALAN 20 0,118986 22 0,013175 37 0,86783016 FLANDES 8 0,931630 22 0,06836017 FRESNO 20 0,925788 22 0,07420218 GUAMO 20 0,890260 22 0,10973019 GUAYABAL (ARMERO) 8 0,958881 22 0,04110920 HERVEO 20 1,00000021 HONDA 8 0,925163 22 0,07482722 IBAGUE 22 1,00000023 ICONONZO 8 0,951953 22 0,04803724 LERIDA 20 0,971829 22 0,02816125 LIBANO 20 0,602079 22 0,138062 37 0,25984926 MARIQUITA 20 0,920980 22 0,07901027 MELGAR 8 0,915001 22 0,08498928 MURILLO 8 0,157188 22 0,003754 37 0,83904829 NATAGAIMA 8 0,337606 22 0,059946 37 0,60243830 ORTEGA 8 0,895602 22 0,10438831 PALOCABILDO 8 0,688053 22 0,013817 37 0,29812032 PIEDRAS 8 0,993061 22 0,00692933 PLANADAS 8 0,936248 22 0,06374234 PRADO 8 0,980128 22 0,01986235 PURIFICACION 8 0,929320 22 0,07067036 RIOBLANCO 8 0,944563 22 0,05542737 RONCESVALLES 37 1,00000038 ROVIRA 8 0,293480 22 0,072778 37 0,63373239 SALDAÑA 8 0,792175 22 0,032690 37 0,17512540 SAN ANTONIO 8 0,962576 22 0,03741441 SAN LUIS 8 0,950567 22 0,04942342 SANTA ISABEL 8 0,210879 22 0,014123 37 0,77498843 SUAREZ 8 0,050788 22 0,002945 37 0,94625744 VALLE DE SAN JUAN 8 0,247316 22 0,006363 37 0,74631145 VENADILLO 8 0,450338 22 0,039923 37 0,50973046 VILLA HERMOSA 8 0,982900 22 0,01709047 VILLA RICA 8 0,228489 22 0,009082 37 0,762419


Municipio Insumo 1 Insumo 2 ProductoALPUJARRA 100,0 0,0 100ALVARADO 100,0 0,0 100AMBALEMA 83,3 16,7 100ANZOATEGUI 82,6 17,4 100ATACO 100,0 0,0 100CAJAMARCA 85,4 14,6 100CARMEN DE APICALA 100,0 0,0 100CASABIANCA 100,0 0,0 100CHAPARRAL 100,0 0,0 100COELLO 100,0 0,0 100COYAIMA 100,0 0,0 100CUNDAY 83,3 16,7 100DOLORES 40,9 59,1 100ESPINAL 100,0 0,0 100FALAN 39,9 60,1 100FLANDES 100,0 0,0 100FRESNO 0,0 100,0 100GUAMO 0,0 100,0 100GUAYABAL-ARMERO 100,0 0,0 100HERVEO 0,0 100,0 100HONDA 100,0 0,0 100IBAGUE 100,0 0,0 100ICONONZO 100,0 0,0 100LERIDA 0,0 100,0 100LIBANO 43,1 56,9 100MARIQUITA 0,0 100,0 100MELGAR 100,0 0,0 100MURILLO 82,2 17,8 100NATAGAIMA 84,8 15,2 100ORTEGA 100,0 0,0 100PALOCABILDO 80,1 19,9 100PIEDRAS 100,0 0,0 100PLANADAS 100,0 0,0 100PRADO 100,0 0,0 100PURIFICACION 100,0 0,0 100RIOBLANCO 100,0 0,0 100RONCESVALLES 83,0 17,0 100ROVIRA 85,2 14,8 100SALDAÑA 82,0 18,0 100SAN ANTONIO 100,0 0,0 100SAN LUIS 100,0 0,0 100SANTA ISABEL 83,2 16,8 100SUAREZ 83,0 17,0 100VALLE DE SAN JUAN 81,9 18,1 100VENADILLO 83,8 16,2 100VILLA HERMOSA 100,0 0,0 100VILLA RICA 82,5 17,5 100


Municipio I 1 P (%) I 2 P (%) Producto P (%)ALPUJARRA 51 51 0 1032,16 626,14 -39,3 26 45,88 76,4ALVARADO 92 92 0 1069,58 869,42 -18,7 34 117,31 245AMBALEMA 68 68 0 531,25 531,25 0 24 67,92 183ANZOATEGUI 80 80 0 657,46 657,46 0 32 90,96 184,2ATACO 106 106 0 1838,95 952,5 -48,2 54 141,7 162,4CAJAMARCA 145 145 0 969,61 969,61 0 92 201,36 118,9CARMEN DE APICALA 58 58 0 1164,81 667,67 -42,7 37 58,07 57CASABIANCA 35 35 0 531,2 531,2 0 18 18 0CHAPARRAL 378 378 0 2659,73 2566,5 -3,5 215 615,6 186,3COELLO 94 94 0 1972,16 881,29 -55,3 33 120,79 266COYAIMA 229 229 0 2470,01 1682,36 -31,9 45 356 691,1CUNDAY 96 96 0 750,31 750,31 0 38 118,75 212,5DOLORES 91 91 0 608,55 608,55 0 40 102,87 157,2ESPINAL 501 501 0 4812,81 3296,36 -31,5 426 829,89 94,8FALAN 74 74 0 516,58 516,58 0 50 74,94 49,9FLANDES 183 183 0 1850,09 1409,4 -23,8 101 275,85 173,1FRESNO 237 229,9 -3 1378,01 1378,01 0 183 333,99 82,5GUAMO 311 305,5 -1,8 1838,51 1838,51 0 144 466,62 224GUAYABAL (ARMERO) 124 124 0 1299,34 1059,31 -18,5 70 173,06 147,2HERVEO 72 72 0 416,22 416,22 0 57 57 0HONDA 197 197 0 1560,85 1492,48 -4,4 161 300,25 86,5IBAGUE 2200 2200 0 13377,95 13378 0 3790 3790 0ICONONZO 139 139 0 2077,7 1148,31 -44,7 65 199,2 206,5LERIDA 157 131,9 -16 781,24 781,24 0 98 162,13 65,4LIBANO 358 358 0 2184,66 2184,66 0 322 563,03 74,9MARIQUITA 241 240,1 -0,4 1440,32 1440,32 0 262 351,94 34,3MELGAR 219 219 0 20269,12 1623,02 -92 205 338,58 65,2MURILLO 49 49 0 414,88 414,88 0 17 34,68 104NATAGAIMA 169 169 0 1183,16 1183,16 0 94 245,92 161,6ORTEGA 261 261 0 5626,62 1872,24 -66,7 112 411,75 267,6PALOCABILDO 67 67 0 650,23 650,23 0 41 71,01 73,2PIEDRAS 50 50 0 2436,86 620,2 -74,5 33 44,13 33,7PLANADAS 173 173 0 1800,35 1350,07 -25 76 258,43 240PRADO 78 78 0 804,42 786,35 -2,2 67 92,92 38,7PURIFICACION 188 188 0 7427,21 1439,07 -80,6 129 284,57 120,6RIOBLANCO 155 155 0 2270,15 1243,26 -45,2 56 227,07 305,5RONCESVALLES 42 42 0 335,09 335,09 0 21 21 0ROVIRA 197 197 0 1341,87 1341,87 0 92 294,42 220SALDAÑA 107 107 0 916,81 916,81 0 57 141,83 148,8SAN ANTONIO 116 116 0 1406,55 1011,84 -28,1 47 159,12 238,6SAN LUIS 142 142 0 2213,81 1166,12 -47,3 57 204,42 258,6SANTA ISABEL 71 71 0 560,64 560,64 0 32 73,59 130SUAREZ 48 48 0 383,46 383,46 0 26 31,95 22,9VALLE DE SAN JUAN 54 54 0 466,58 466,58 0 17 44,24 160,2VENADILLO 125 125 0 944,11 944,11 0 78 170,12 118,1VILLA HERMOSA 72 72 0 808,95 750,75 -7,2 50 82,46 64,9VILLA RICA 60 60 0 498,36 498,36 0 51 54,55 78760 8721 102549 62192 7775 12920


No. Municipio CCR (ETG) <strong>BCC</strong> (ETP) ETP > ETG EE Rank22 IBAGUE 1,0000000 1,0000000 0,0000000 1,0000000 120 HERVEO 0,4833898 1,0000000 0,5166102 0,4833898 18 CASABIANCA 0,2985300 1,0000000 0,7014700 0,2985300 137 RONCESVALLES 0,2902375 1,0000000 0,7097625 0,2902375 147 VILLA RICA 0,4934037 0,9349919 0,4415882 0,5277091 543 SUAREZ 0,3144239 0,8138168 0,4993929 0,3863571 632 PIEDRAS 0,3831135 0,7477164 0,3646030 0,5123780 726 MARIQUITA 0,6420849 0,7444406 0,1023557 0,8625066 834 PRADO 0,4986131 0,7210678 0,2224547 0,6914926 915 FALAN 0,3922128 0,6672142 0,2750014 0,5878364 107 CARMEN DE APICALA 0,3703030 0,6371348 0,2668318 0,5812004 1146 VILLA HERMOSA 0,4031076 0,6063239 0,2032163 0,6648387 1227 MELGAR 0,5433669 0,6054755 0,0621085 0,8974219 1324 LERIDA 0,4427842 0,6044695 0,1616853 0,7325170 1431 PALOCABILDO 0,3552160 0,5773722 0,2221562 0,6152288 1525 LIBANO 0,5221032 0,5719048 0,0498017 0,9129197 161 ALPUJARRA 0,2959284 0,5667372 0,2708088 0,5221616 1717 FRESNO 0,4687595 0,5479114 0,0791519 0,8555389 1821 HONDA 0,4743983 0,5362250 0,0618267 0,8847000 1914 ESPINAL 0,4935775 0,5133179 0,0197404 0,9615435 2028 MURILLO 0,2013893 0,4902475 0,2888582 0,4107910 2145 VENADILLO 0,3622164 0,4585087 0,0962923 0,7899880 226 CAJAMARCA 0,3683013 0,4569007 0,0885994 0,8060862 2335 PURIFICACION 0,3983046 0,4533208 0,0550162 0,8786375 2442 SANTA ISABEL 0,2616225 0,4348107 0,1731882 0,6016928 2519 GUAYABAL-ARMERO 0,3276875 0,4044796 0,0767922 0,8101457 2639 SALDAÑA 0,3092250 0,4018812 0,0926562 0,7694437 2713 DOLORES 0,2551538 0,3888539 0,1337000 0,6561689 2844 VALLE DE SAN JUAN 0,1827421 0,3842635 0,2015214 0,4755646 2929 NATAGAIMA 0,3228677 0,3822322 0,0593645 0,8446899 305 ATACO 0,2957136 0,3810838 0,0853701 0,7759807 3116 FLANDES 0,3203714 0,3661339 0,0457624 0,8750117 323 AMBALEMA 0,2048735 0,3533576 0,1484841 0,5797908 334 ANZOATEGUI 0,2321900 0,3518198 0,1196298 0,6599685 349 CHAPARRAL 0,3301643 0,3492546 0,0190903 0,9453399 3523 ICONONZO 0,2714451 0,3263121 0,0548670 0,8318574 3612 CUNDAY 0,2297713 0,3199974 0,0902260 0,7180413 3738 ROVIRA 0,2710847 0,3124794 0,0413947 0,8675283 3818 GUAMO 0,2764700 0,3086023 0,0321323 0,8958779 3940 SAN ANTONIO 0,2351924 0,2953676 0,0601752 0,7962703 4033 PLANADAS 0,2550063 0,2940804 0,0390740 0,8671314 412 ALVARADO 0,2145233 0,2898318 0,0753084 0,7401651 4241 SAN LUIS 0,2330075 0,2788341 0,0458266 0,8356493 4310 COELLO 0,2037838 0,2731925 0,0694087 0,7459348 4430 ORTEGA 0,2490927 0,2720084 0,0229157 0,9157535 4536 RIOBLANCO 0,2097200 0,2466178 0,0368978 0,8503846 4611 COYAIMA 0,1140671 0,1264047 0,0123375 0,9023965 470,3468413 0,5063191 0,72584680,148565528 0,225588991 0,1808292510,1140671 0,1264047 0,29023751,0000000 1,0000000 1,0000000


Excess Excess ShortageNo. DMU Score X1j X2j Y1jS-(1) S-(2) S+(1)1 ALPUJARRA 0,295928398 0 722,0369981 02 ALVARADO 0,214523345 0 510,1389265 03 AMBALEMA 0,204873506 0 117,7483366 04 ANZOATEGUI 0,232189974 0 170,9922291 05 ATACO 0,295713646 0 1194,37896 06 CAJAMARCA 0,368301337 0 87,88444387 07 CARMEN DE APICALA 0,370302975 0 812,1143668 08 CASABIANCA 0,298529966 0 318,3644119 09 CHAPARRAL 0,330164314 0 361,1592384 010 COELLO 0,203783753 0 1400,553311 011 COYAIMA 0,114067127 0 1077,485062 012 CUNDAY 0,229771328 0 166,5487831 013 DOLORES 0,255153817 0 55,19181973 014 ESPINAL 0,493577489 0 1766,282336 015 FALAN 0,392212793 0 66,59229734 016 FLANDES 0,320371412 0 737,2914189 017 FRESNO 0,468759513 10,38718471 0 018 GUAMO 0,276469984 8,658352562 0 019 GUAYABAL (ARMERO) 0,327687463 0 545,3104957 020 HERVEO 0,483389758 3,551981253 0 021 HONDA 0,474398296 0 362,9171925 022 IBAGUE 1 0 0 023 ICONONZO 0,271445113 0 1232,456813 024 LERIDA 0,442784186 28,52534958 0 025 LIBANO 0,522103153 0 7,704428582 026 MARIQUITA 0,642084907 4,139686103 0 027 MELGAR 0,543366947 0 18937,40393 028 MURILLO 0,201389263 0 116,9116633 029 NATAGAIMA 0,322867715 0 155,4934408 030 ORTEGA 0,249092692 0 4039,510661 031 PALOCABILDO0,355216004 0 242,8104507 032 PIEDRAS 0,383113456 0 2132,817558 033 PLANADAS 0,255006329 0 748,3565415 034 PRADO 0,498613084 0 330,109651 035 PURIFICACION0,398304609 0 6284,005439 036 RIOBLANCO 0,209719976 0 1327,615855 037 RONCESVALLES0,290237467 0 79,69570476 038 ROVIRA 0,271084741 0 143,9392141 039 SALDAÑA 0,309224965 0 266,1569735 040 SAN ANTONIO 0,23519243 0 701,1634493 041 SAN LUIS 0,233007544 0 1350,326784 042 SANTA ISABEL0,261622505 0 128,89967 043 SUAREZ 0,314423923 0 91,58160119 044 VALLE DE SAN 0,182742109 JUAN0 138,2144713 045 VENADILLO 0,362216359 0 183,9947464 046 VILLA HERMOSA0,403107593 0 371,1292893 047 VILLA RICA 0,493403694 0 133,5042268 0


No. DMU Score VX(1) X1j VX(2) X2j1 ALPUJARRA 0,295928398 3,379195804 02 ALVARADO 0,214523345 4,661497326 03 AMBALEMA 0,204873506 4,881060606 04 ANZOATEGUI 0,232189974 4,306818182 05 ATACO 0,295713646 3,381649832 06 CAJAMARCA 0,368301337 2,715167984 07 CARMEN DE APICALA 0,370302975 2,7004914 08 CASABIANCA 0,298529966 3,349747475 09 CHAPARRAL 0,330164314 3,028794926 010 COELLO 0,203783753 4,907162534 011 COYAIMA 0,114067127 8,766767677 012 CUNDAY 0,229771328 4,35215311 013 DOLORES 0,255153817 3,919204545 014 ESPINAL 0,493577489 2,026024328 015 FALAN 0,392212793 2,549636364 016 FLANDES 0,320371412 3,121377138 017 FRESNO 0,468759513 0 2,1332900418 GUAMO 0,276469984 0 3,61702917919 GUAYABAL (ARMERO) 0,327687463 3,051688312 020 HERVEO 0,483389758 0 2,06872401221 HONDA 0,474398296 2,107933371 022 IBAGUE 1 1 023 ICONONZO 0,271445113 3,683986014 024 LERIDA 0,442784186 0 2,25843657325 LIBANO 0,522103153 1,915330322 026 MARIQUITA 0,642084907 0 1,55742642227 MELGAR 0,543366947 1,84037694 028 MURILLO 0,201389263 4,965508021 029 NATAGAIMA 0,322867715 3,097243714 030 ORTEGA 0,249092692 4,014569805 031 PALOCABILDO0,355216004 2,81518847 032 PIEDRAS 0,383113456 2,610192837 033 PLANADAS 0,255006329 3,921471292 034 PRADO 0,498613084 2,005563094 035 PURIFICACION0,398304609 2,510641297 036 RIOBLANCO 0,209719976 4,768262987 037 RONCESVALLES0,290237467 3,445454545 038 ROVIRA 0,271084741 3,688883399 039 SALDAÑA 0,309224965 3,233891547 040 SAN ANTONIO 0,23519243 4,251837524 041 SAN LUIS 0,233007544 4,291706539 042 SANTA ISABEL0,261622505 3,822301136 043 SUAREZ 0,314423923 3,18041958 044 VALLE DE SAN 0,182742109 JUAN5,472192513 045 VENADILLO 0,362216359 2,760780886 046 VILLA HERMOSA0,403107593 2,480727273 047 VILLA RICA 0,493403694 2,026737968 0


UY(1) Y1j11111111111111111111111111111111111111111111111


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)No. DMU Score V(1) X1j V(2) X2j1 ALPUJARRA 0,295928398 6,63E-02 02 ALVARADO 0,214523345 0,050668449 03 AMBALEMA 0,204873506 0,071780303 04 ANZOATEGUI 0,232189974 5,38E-02 05 ATACO 0,295713646 3,19E-02 06 CAJAMARCA 0,368301337 1,87E-02 07 CARMEN DE APICALA 0,370302975 4,66E-02 08 CASABIANCA 0,298529966 9,57E-02 09 CHAPARRAL 0,330164314 8,01E-03 010 COELLO 0,203783753 5,22E-02 011 COYAIMA 0,114067127 3,83E-02 012 CUNDAY 0,229771328 4,53E-02 013 DOLORES 0,255153817 4,31E-02 014 ESPINAL 0,493577489 4,04E-03 015 FALAN 0,392212793 3,45E-02 016 FLANDES 0,320371412 1,71E-02 017 FRESNO 0,468759513 0 1,55E-0318 GUAMO 0,276469984 0 1,97E-0319 GUAYABAL (ARMERO) 0,327687463 2,46E-02 020 HERVEO 0,483389758 0 4,97E-0321 HONDA 0,474398296 1,07E-02 022 IBAGUE 1 4,55E-04 023 ICONONZO 0,271445113 2,65E-02 024 LERIDA 0,442784186 0 2,89E-0325 LIBANO 0,522103153 5,35E-03 026 MARIQUITA 0,642084907 0 1,08E-0327 MELGAR 0,543366947 8,40E-03 028 MURILLO 0,201389263 0,101336898 029 NATAGAIMA 0,322867715 1,83E-02 030 ORTEGA 0,249092692 1,54E-02 031 PALOCABILDO0,355216004 4,20E-02 032 PIEDRAS 0,383113456 5,22E-02 033 PLANADAS 0,255006329 2,27E-02 034 PRADO 0,498613084 2,57E-02 035 PURIFICACION0,398304609 0,013354475 036 RIOBLANCO 0,209719976 0,030762987 037 RONCESVALLES0,290237467 0,082034632 038 ROVIRA 0,271084741 1,87E-02 039 SALDAÑA 0,309224965 3,02E-02 040 SAN ANTONIO 0,23519243 3,67E-02 041 SAN LUIS 0,233007544 3,02E-02 042 SANTA ISABEL0,261622505 5,38E-02 043 SUAREZ 0,314423923 6,63E-02 044 VALLE DE SAN 0,182742109 JUAN0,101336898 045 VENADILLO 0,362216359 2,21E-02 046 VILLA HERMOSA0,403107593 3,45E-02 047 VILLA RICA 0,493403694 3,38E-02 0


of Lambda < Infinity)U(1) Y1j3,85E-022,94E-024,17E-020,031251,85E-021,09E-020,0270270275,56E-024,65E-033,03E-022,22E-022,63E-020,0252,35E-030,029,90E-035,46E-036,94E-031,43E-021,75E-026,21E-032,64E-041,54E-021,02E-023,11E-033,82E-034,88E-035,88E-021,06E-028,93E-030,0243902443,03E-021,32E-021,49E-027,75E-031,79E-024,76E-021,09E-021,75E-022,13E-021,75E-020,031253,85E-025,88E-021,28E-020,021,96E-02


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)No. DMU 1/ScoreI/O Data Projection Difference %1 ALPUJARRA 3,379195804X1j 51 51 0 0,00%X2j 1032,162283 310,1252851 -722,0369981 -69,95%Y1j 26 87,85909091 61,85909091 237,92%2 ALVARADO 4,661497326X1j 92 92 0 0,00%X2j 1069,580617 559,4416908 -510,1389265 -47,70%Y1j 34 158,4909091 124,4909091 366,15%3 AMBALEMA 4,881060606X1j 68 68 0 0,00%X2j 531,2487167 413,5003801 -117,7483366 -22,16%Y1j 24 117,1454545 93,14545455 388,11%4 ANZOATEGUI 4,306818182X1j 80 80 0 0,00%X2j 657,4632645 486,4710354 -170,9922291 -26,01%Y1j 32 137,8181818 105,8181818 330,68%5 ATACO 3,381649832X1j 106 106 0 0,00%X2j 1838,953082 644,574122 -1194,37896 -64,95%Y1j 54 182,6090909 128,6090909 238,16%6 CAJAMARCA 2,715167984X1j 145 145 0 0,00%X2j 969,6131956 881,7287517 -87,88444387 -9,06%Y1j 92 249,7954545 157,7954545 171,52%7 CARMEN DE APICALA 2,7004914X1j 58 58 0 0,00%X2j 1164,805867 352,6915007 -812,1143668 -69,72%Y1j 37 99,91818182 62,91818182 170,05%8 CASABIANCA 3,349747475X1j 35 35 0 0,00%X2j 531,1954899 212,831078 -318,3644119 -59,93%Y1j 18 60,29545455 42,29545455 234,97%9 CHAPARRAL 3,028794926X1j 378 378 0 0,00%X2j 2659,734881 2298,575642 -361,1592384 -13,58%Y1j 215 651,1909091 436,1909091 202,88%10 COELLO 4,907162534X1j 94 94 0 0,00%X2j 1972,156777 571,6034666 -1400,553311 -71,02%Y1j 33 161,9363636 128,9363636 390,72%11 COYAIMA 8,766767677X1j 229 229 0 0,00%X2j 2470,008401 1392,523339 -1077,485062 -43,62%Y1j 45 394,5045455 349,5045455 776,68%12 CUNDAY 4,35215311X1j 96 96 0 0,00%X2j 750,3140256 583,7652425 -166,5487831 -22,20%Y1j 38 165,3818182 127,3818182 335,22%13 DOLORES 3,919204545X1j 91 91 0 0,00%X2j 608,5526225 553,3608028 -55,19181973 -9,07%Y1j 40 156,7681818 116,7681818 291,92%14 ESPINAL 2,026024328X1j 501 501 0 0,00%X2j 4812,807196 3046,524859 -1766,282336 -36,70%


Y1j 426 863,0863636 437,0863636 102,60%15 FALAN 2,549636364X1j 74 74 0 0,00%X2j 516,5780051 449,9857078 -66,59229734 -12,89%Y1j 50 127,4818182 77,48181818 154,96%16 FLANDES 3,121377138X1j 183 183 0 0,00%X2j 1850,093912 1112,802494 -737,2914189 -39,85%Y1j 101 315,2590909 214,2590909 212,14%17 FRESNO 2,13329004X1j 237 226,6128153 -10,38718471 -4,38%X2j 1378,007136 1378,007136 0 0,00%Y1j 183 390,3920772 207,3920772 113,33%18 GUAMO 3,617029179X1j 311 302,3416474 -8,658352562 -2,78%X2j 1838,505679 1838,505679 0 0,00%Y1j 144 520,8522017 376,8522017 261,70%19 GUAYABAL (ARMERO) 3,051688312X1j 124 124 0 0,00%X2j 1299,340601 754,0301049 -545,3104957 -41,97%Y1j 70 213,6181818 143,6181818 205,17%20 HERVEO 2,068724012X1j 72 68,44801875 -3,551981253 -4,93%X2j 416,2247319 416,2247319 0 0,00%Y1j 57 117,9172687 60,91726866 106,87%21 HONDA 2,107933371X1j 197 197 0 0,00%X2j 1560,852117 1197,934925 -362,9171925 -23,25%Y1j 161 339,3772727 178,3772727 110,79%22 IBAGUE 1X1j 2200 2200 0 0,00%X2j 13377,95347 13377,95347 0 0,00%Y1j 3790 3790 0 0,00%23 ICONONZO 3,683986014X1j 139 139 0 0,00%X2j 2077,700237 845,2434241 -1232,456813 -59,32%Y1j 65 239,4590909 174,4590909 268,40%24 LERIDA 2,258436573X1j 157 128,4746504 -28,52534958 -18,17%X2j 781,2399527 781,2399527 0 0,00%Y1j 98 221,3267841 123,3267841 125,84%25 LIBANO 1,915330322X1j 358 358 0 0,00%X2j 2184,662312 2176,957884 -7,704428582 -0,35%Y1j 322 616,7363636 294,7363636 91,53%26 MARIQUITA 1,557426422X1j 241 236,8603139 -4,139686103 -1,72%X2j 1440,321027 1440,321027 0 0,00%Y1j 262 408,0457226 146,0457226 55,74%27 MELGAR 1,84037694X1j 219 219 0 0,00%X2j 20269,11839 1331,71446 -18937,40393 -93,43%Y1j 205 377,2772727 172,2772727 84,04%28 MURILLO 4,965508021X1j 49 49 0 0,00%X2j 414,8751725 297,9635092 -116,9116633 -28,18%Y1j 17 84,41363636 67,41363636 396,55%29 NATAGAIMA 3,097243714X1j 169 169 0 0,00%


X2j 1183,163503 1027,670062 -155,4934408 -13,14%Y1j 94 291,1409091 197,1409091 209,72%30 ORTEGA 4,014569805X1j 261 261 0 0,00%X2j 5626,622414 1587,111753 -4039,510661 -71,79%Y1j 112 449,6318182 337,6318182 301,46%31 PALOCABILDO2,81518847X1j 67 67 0 0,00%X2j 650,2299429 407,4194922 -242,8104507 -37,34%Y1j 41 115,4227273 74,42272727 181,52%32 PIEDRAS 2,610192837X1j 50 50 0 0,00%X2j 2436,861955 304,0443972 -2132,817558 -87,52%Y1j 33 86,13636364 53,13636364 161,02%33 PLANADAS 3,921471292X1j 173 173 0 0,00%X2j 1800,350156 1051,993614 -748,3565415 -41,57%Y1j 76 298,0318182 222,0318182 292,15%34 PRADO 2,005563094X1j 78 78 0 0,00%X2j 804,4189106 474,3092596 -330,109651 -41,04%Y1j 67 134,3727273 67,37272727 100,56%35 PURIFICACION2,510641297X1j 188 188 0 0,00%X2j 7427,212372 1143,206933 -6284,005439 -84,61%Y1j 129 323,8727273 194,8727273 151,06%36 RIOBLANCO 4,768262987X1j 155 155 0 0,00%X2j 2270,153486 942,5376312 -1327,615855 -58,48%Y1j 56 267,0227273 211,0227273 376,83%37 RONCESVALLES3,445454545X1j 42 42 0 0,00%X2j 335,0929984 255,3972936 -79,69570476 -23,78%Y1j 21 72,35454545 51,35454545 244,55%38 ROVIRA 3,688883399X1j 197 197 0 0,00%X2j 1341,874139 1197,934925 -143,9392141 -10,73%Y1j 92 339,3772727 247,3772727 268,89%39 SALDAÑA 3,233891547X1j 107 107 0 0,00%X2j 916,8119834 650,6550099 -266,1569735 -29,03%Y1j 57 184,3318182 127,3318182 223,39%40 SAN ANTONIO 4,251837524X1j 116 116 0 0,00%X2j 1406,546451 705,3830014 -701,1634493 -49,85%Y1j 47 199,8363636 152,8363636 325,18%41 SAN LUIS 4,291706539X1j 142 142 0 0,00%X2j 2213,812872 863,4860879 -1350,326784 -61,00%Y1j 57 244,6272727 187,6272727 329,17%42 SANTA ISABEL3,822301136X1j 71 71 0 0,00%X2j 560,6427139 431,743044 -128,89967 -22,99%Y1j 32 122,3136364 90,31363636 282,23%43 SUAREZ 3,18041958X1j 48 48 0 0,00%X2j 383,4642225 291,8826213 -91,58160119 -23,88%Y1j 26 82,69090909 56,69090909 218,04%44 VALLE DE SAN 5,472192513JUAN


X1j 54 54 0 0,00%X2j 466,5824202 328,3679489 -138,2144713 -29,62%Y1j 17 93,02727273 76,02727273 447,22%45 VENADILLO 2,760780886X1j 125 125 0 0,00%X2j 944,1057392 760,1109929 -183,9947464 -19,49%Y1j 78 215,3409091 137,3409091 176,08%46 VILLA HERMOSA2,480727273X1j 72 72 0 0,00%X2j 808,9532212 437,8239319 -371,1292893 -45,88%Y1j 50 124,0363636 74,03636364 148,07%47 VILLA RICA 2,026737968X1j 60 60 0 0,00%X2j 498,3575034 364,8532766 -133,5042268 -26,79%Y1j 51 103,3636364 52,36363636 102,67%


da < Infinity)


DMUjDMUCOYAIMAMURILLOAMBALEMAALVARADOANZOATEGUISAN ANTONIOPLANADASSANTA ISABELICONONZORONCESVALLESALPUJARRASALDAÑAFLANDESGUAYABAL (ARMERO)PALOCABILDOCAJAMARCAPIEDRASPURIFICACIONLERIDAHONDAVILLA RICAPRADOMELGARIBAGUE0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


DMUjDMUVILLA RICAVENADILLOSUAREZSAN LUISSALDAÑARONCESVALLESPURIFICACIONPLANADASPALOCABILDONATAGAIMAMELGARLIBANOICONONZOHONDAGUAYABAL (ARMERO)FRESNOFALANDOLORESCOYAIMACHAPARRALCARMEN DE APICALAATACOAMBALEMAALPUJARRA0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O)Rank DMU Score1 IBAGUE 12 MARIQUITA 0,6420849073 MELGAR 0,5433669474 LIBANO 0,5221031535 PRADO 0,4986130846 ESPINAL 0,4935774897 VILLA RICA 0,4934036948 HERVEO 0,4833897589 HONDA 0,47439829610 FRESNO 0,46875951311 LERIDA 0,44278418612 VILLA HERMOSA0,40310759313 PURIFICACION0,39830460914 FALAN 0,39221279315 PIEDRAS 0,38311345616 CARMEN DE APICALA 0,37030297517 CAJAMARCA 0,36830133718 VENADILLO 0,36221635919 PALOCABILDO0,35521600420 CHAPARRAL 0,33016431421 GUAYABAL (ARMERO) 0,32768746322 NATAGAIMA 0,32286771523 FLANDES 0,32037141224 SUAREZ 0,31442392325 SALDAÑA 0,30922496526 CASABIANCA 0,29852996627 ALPUJARRA 0,29592839828 ATACO 0,29571364629 RONCESVALLES0,29023746730 GUAMO 0,27646998431 ICONONZO 0,27144511332 ROVIRA 0,27108474133 SANTA ISABEL0,26162250534 DOLORES 0,25515381735 PLANADAS 0,25500632936 ORTEGA 0,24909269237 SAN ANTONIO 0,2351924338 SAN LUIS 0,23300754439 ANZOATEGUI 0,23218997440 CUNDAY 0,22977132841 ALVARADO 0,21452334542 RIOBLANCO 0,20971997643 AMBALEMA 0,20487350644 COELLO 0,20378375345 MURILLO 0,20138926346 VALLE DE SAN 0,182742109JUAN47 COYAIMA 0,114067127


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)No. DMU Score Rank 1/Score Reference set (lambda)1 ALPUJARRA 0,295928398 27 3,379195804 IBAGUE 2,32E-022 ALVARADO 0,214523345 41 4,661497326 IBAGUE 4,18E-023 AMBALEMA 0,204873506 43 4,881060606 IBAGUE 3,09E-024 ANZOATEGUI 0,232189974 39 4,306818182 IBAGUE 3,64E-025 ATACO 0,295713646 28 3,381649832 IBAGUE 4,82E-026 CAJAMARCA 0,368301337 17 2,715167984 IBAGUE 6,59E-027 CARMEN DE APICALA 0,370302975 16 2,7004914 IBAGUE 2,64E-028 CASABIANCA 0,298529966 26 3,349747475 IBAGUE 1,59E-029 CHAPARRAL 0,330164314 20 3,028794926 IBAGUE 0,17181818210 COELLO 0,203783753 44 4,907162534 IBAGUE 4,27E-0211 COYAIMA 0,114067127 47 8,766767677 IBAGUE 0,10409090912 CUNDAY 0,229771328 40 4,35215311 IBAGUE 4,36E-0213 DOLORES 0,255153817 34 3,919204545 IBAGUE 4,14E-0214 ESPINAL 0,493577489 6 2,026024328 IBAGUE 0,22772727315 FALAN 0,392212793 14 2,549636364 IBAGUE 3,36E-0216 FLANDES 0,320371412 23 3,121377138 IBAGUE 8,32E-0217 FRESNO 0,468759513 10 2,13329004 IBAGUE 0,10300582518 GUAMO 0,276469984 30 3,617029179 IBAGUE 0,13742802219 GUAYABAL (ARMERO) 0,327687463 21 3,051688312 IBAGUE 5,64E-0220 HERVEO 0,483389758 8 2,068724012 IBAGUE 3,11E-0221 HONDA 0,474398296 9 2,107933371 IBAGUE 8,95E-0222 IBAGUE 1 1 1 IBAGUE 123 ICONONZO 0,271445113 31 3,683986014 IBAGUE 6,32E-0224 LERIDA 0,442784186 11 2,258436573 IBAGUE 5,84E-0225 LIBANO 0,522103153 4 1,915330322 IBAGUE 0,16272727326 MARIQUITA 0,642084907 2 1,557426422 IBAGUE 0,10766377927 MELGAR 0,543366947 3 1,84037694 IBAGUE 9,95E-0228 MURILLO 0,201389263 45 4,965508021 IBAGUE 2,23E-0229 NATAGAIMA 0,322867715 22 3,097243714 IBAGUE 7,68E-0230 ORTEGA 0,249092692 36 4,014569805 IBAGUE 0,11863636431 PALOCABILDO0,355216004 19 2,81518847 IBAGUE 3,05E-0232 PIEDRAS 0,383113456 15 2,610192837 IBAGUE 2,27E-0233 PLANADAS 0,255006329 35 3,921471292 IBAGUE 7,86E-0234 PRADO 0,498613084 5 2,005563094 IBAGUE 3,55E-0235 PURIFICACION0,398304609 13 2,510641297 IBAGUE 8,55E-0236 RIOBLANCO 0,209719976 42 4,768262987 IBAGUE 7,05E-0237 RONCESVALLES0,290237467 29 3,445454545 IBAGUE 1,91E-0238 ROVIRA 0,271084741 32 3,688883399 IBAGUE 8,95E-0239 SALDAÑA 0,309224965 25 3,233891547 IBAGUE 4,86E-0240 SAN ANTONIO 0,23519243 37 4,251837524 IBAGUE 5,27E-0241 SAN LUIS 0,233007544 38 4,291706539 IBAGUE 6,45E-0242 SANTA ISABEL0,261622505 33 3,822301136 IBAGUE 3,23E-0243 SUAREZ 0,314423923 24 3,18041958 IBAGUE 2,18E-0244 VALLE DE SAN 0,182742109 JUAN46 5,472192513 IBAGUE 2,45E-0245 VENADILLO 0,362216359 18 2,760780886 IBAGUE 5,68E-0246 VILLA HERMOSA0,403107593 12 2,480727273 IBAGUE 3,27E-0247 VILLA RICA 0,493403694 7 2,026737968 IBAGUE 2,73E-02


m of Lambda < Infinity)


<strong>DEA</strong> model = <strong>DEA</strong>-<strong>Solver</strong> LV3.0/ CCR(CCR-O)Problem = DMUjNo. of DMUs = 47No. of Input items = 2Input(1) = X1jInput(2) = X2jNo. of Output items = 1Output(1) = Y1jReturns to Scale = Constant (0 =< Sum of Lambda < Infinity)Statistics on Input/Output DataX1j X2j Y1jMax 2200 20269,11839 3790Min 35 335,0929984 17Average 186,3829787 2181,900557 165,4255319SD 312,5069908 3442,674357 540,7387675CorrelationX1j X2j Y1jX1j 1 0,556667084 0,981893989X2j 0,556667084 1 0,527490529Y1j 0,981893989 0,527490529 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 47Average 0,346841297SD 0,146976546Maximum 1Minimum 0,114067127Frequency in Reference SetReference Frequency to other DMUsIBAGUE 46No. of DMUs in Data = 47No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 47Average of scores = 0,346841297No. of efficient DMUs = 1No. of inefficient DMUs = 46No. of over iteration DMUs = 0[CCR-O] LP started at 05-16-2008 15:34:28 and completed at 05-16-2008 15:34:28Elapsed time = 1 secondsTotal number of simplex iterations = 100


DMU j (I) X 1j (I) X 2j (O) Y 1jALPUJARRA 51 1.032 26ALVARADO 92 1.070 34AMBALEMA 68 531 24ANZOATEGUI 80 657 32ATACO 106 1.839 54CAJAMARCA 145 970 92CARMEN DE APICALA 58 1.165 37CASABIANCA 35 531 18CHAPARRAL 378 2.660 215COELLO 94 1.972 33COYAIMA 229 2.470 45CUNDAY 96 750 38DOLORES 91 609 40ESPINAL 501 4.813 426FALAN 74 517 50FLANDES 183 1.850 101FRESNO 237 1.378 183GUAMO 311 1.839 144GUAYABAL (ARMERO) 124 1.299 70HERVEO 72 416 57HONDA 197 1.561 161IBAGUE 2.200 13.378 3.790ICONONZO 139 2.078 65LERIDA 157 781 98LIBANO 358 2.185 322MARIQUITA 241 1.440 262MELGAR 219 20.269 205MURILLO 49 415 17NATAGAIMA 169 1.183 94ORTEGA 261 5.627 112PALOCABILDO 67 650 41PIEDRAS 50 2.437 33PLANADAS 173 1.800 76PRADO 78 804 67PURIFICACION 188 7.427 129RIOBLANCO 155 2.270 56RONCESVALLES 42 335 21ROVIRA 197 1.342 92SALDAÑA 107 917 57SAN ANTONIO 116 1.407 47SAN LUIS 142 2.214 57SANTA ISABEL 71 561 32SUAREZ 48 383 26VALLE DE SAN JUAN 54 467 17VENADILLO 125 944 78VILLA HERMOSA 72 809 50VILLA RICA 60 498 51


No. DMU j λj1 ALPUJARRA 22 0,0231818 IRS2 ALVARADO 22 0,0418182 IRS3 AMBALEMA 22 0,0309091 IRS4 ANZOATEGUI 22 0,0363636 IRS5 ATACO 22 0,0481818 IRS6 CAJAMARCA 22 0,0659091 IRS7 CARMEN DE APICALA 22 0,0263636 IRS8 CASABIANCA 22 0,0159091 IRS9 CHAPARRAL 22 0,1718182 IRS10 COELLO 22 0,0427273 IRS11 COYAIMA 22 0,1040909 IRS12 CUNDAY 22 0,0436364 IRS13 DOLORES 22 0,0413636 IRS14 ESPINAL 22 0,2277273 IRS15 FALAN 22 0,0336364 IRS16 FLANDES 22 0,0831818 IRS17 FRESNO 22 0,1030058 IRS18 GUAMO 22 0,1374280 IRS19 GUAYABAL (ARMERO) 22 0,0563636 IRS20 HERVEO 22 0,0311127 IRS21 HONDA 22 0,0895455 IRS22 IBAGUE 22 1,0000000 CRS23 ICONONZO 22 0,0631818 IRS24 LERIDA 22 0,0583976 IRS25 LIBANO 22 0,1627273 IRS26 MARIQUITA 22 0,1076638 IRS27 MELGAR 22 0,0995455 IRS28 MURILLO 22 0,0222727 IRS29 NATAGAIMA 22 0,0768182 IRS30 ORTEGA 22 0,1186364 IRS31 PALOCABILDO 22 0,0304545 IRS32 PIEDRAS 22 0,0227273 IRS33 PLANADAS 22 0,0786364 IRS34 PRADO 22 0,0354545 IRS35 PURIFICACION 22 0,0854545 IRS36 RIOBLANCO 22 0,0704545 IRS37 RONCESVALLES 22 0,0190909 IRS38 ROVIRA 22 0,0895455 IRS39 SALDAÑA 22 0,0486364 IRS40 SAN ANTONIO 22 0,0527273 IRS41 SAN LUIS 22 0,0645455 IRS42 SANTA ISABEL 22 0,0322727 IRS43 SUAREZ 22 0,0218182 IRS44 VALLE DE SAN JUAN 22 0,0245455 IRS45 VENADILLO 22 0,0568182 IRS46 VILLA HERMOSA 22 0,0327273 IRS47 VILLA RICA 22 0,0272727 IRS


<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo d<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O)No. DMU Score RTS RTS of Projected DMU1 ALPUJARRA 1 Increasing IRS2 ALVARADO 0,68466078 Increasing IRS3 AMBALEMA 0,890414409 Increasing IRS4 ANZOATEGUI 0,940538712 Increasing IRS5 ATACO 0,959255482 Increasing IRS6 CAJAMARCA 0,973575964 Increasing IRS7 CARMEN DE APICALA 1 Increasing IRS8 CASABIANCA 1 Increasing IRS9 CHAPARRAL 1 Decreasing DRS10 COELLO 0,714700615 Increasing IRS11 COYAIMA 0,918240472 Decreasing DRS12 CUNDAY 0,638241021 Increasing IRS13 DOLORES 0,794728158 Increasing IRS14 ESPINAL 1 Decreasing DRS15 FALAN 0,849507444 Increasing IRS16 FLANDES 1 Increasing IRS17 FRESNO 0,942784113 Increasing IRS18 GUAMO 0,872787257 Decreasing DRS19 GUAYABAL-ARMERO 0,831521019 Increasing IRS20 HERVEO 0,855917098 Increasing IRS21 HONDA 1 Constant CRS22 IBAGUE 1 Constant CRS23 ICONONZO 0,629876902 Increasing IRS24 LERIDA 1 Constant CRS25 LIBANO 0,821818304 Increasing IRS26 MARIQUITA 1 Constant CRS27 MELGAR 1 Constant CRS28 MURILLO 1 Increasing IRS29 NATAGAIMA 0,825400649 Increasing IRS30 ORTEGA 0,868174395 Increasing IRS31 PALOCABILDO0,918514815 Increasing IRS32 PIEDRAS 1 Increasing IRS33 PLANADAS 1 Increasing IRS34 PRADO 0,876809535 Increasing IRS35 PURIFICACION0,806054023 Increasing IRS36 RIOBLANCO 1 Constant CRS37 RONCESVALLES1 Increasing IRS38 ROVIRA 0,918789771 Increasing IRS39 SALDAÑA 0,93139005 Increasing IRS40 SAN ANTONIO 0,907193307 Increasing IRS41 SAN LUIS 0,737090523 Increasing IRS42 SANTA ISABEL0,818124794 Increasing IRS43 SUAREZ 1 Increasing IRS44 VALLE DE SAN 1JUANIncreasing IRS45 VENADILLO 0,862696492 Increasing IRS46 VILLA HERMOSA0,887541056 Increasing IRS47 VILLA RICA 0,767912368 Increasing IRS


is Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Educación Cobertura-<strong>BCC</strong>-O.xlsxRTS Efficient Projected TotalNo. of IRS 10 27 37No. of CRS 6 0 6No. of DRS 2 2 4Total 18 29 47


cación Cobertura-<strong>BCC</strong>-O.xlsx


Excess Excess Excess ShortageNo. DMU Score Insumo 1 Insumo 2 Insumo 3 ProductoS-(1) S-(2) S-(3) S+(1)1 ALPUJARRA 1 0 0 0 02 ALVARADO 0,68466078 0 0 0 03 AMBALEMA 0,890414409 0 0 0 04 ANZOATEGUI 0,940538712 0 0 0 05 ATACO 0,959255482 0 0 0 06 CAJAMARCA 0,973575964 0 0 0 07 CARMEN DE APICALA 1 0 0 0 08 CASABIANCA 1 0 0 0 09 CHAPARRAL 1 0 0 0 010 COELLO 0,714700615 0 0 0 011 COYAIMA 0,918240472 0 0 0 012 CUNDAY 0,638241021 0 0 224,6919093 013 DOLORES 0,794728158 0 0 0 014 ESPINAL 1 0 0 0 015 FALAN 0,849507444 0 0 0 016 FLANDES 1 0 0 0 017 FRESNO 0,942784113 0 0 0 018 GUAMO 0,872787257 0 0 0 019 GUAYABAL-ARMERO 0,831521019 0 0 0 020 HERVEO 0,855917098 4,236282854 0 529,2957192 021 HONDA 1 0 0 0 022 IBAGUE 1 0 0 0 023 ICONONZO 0,629876902 0 0 0 024 LERIDA 1 0 0 0 025 LIBANO 0,821818304 0 0 0 026 MARIQUITA 1 0 0 0 027 MELGAR 1 0 0 0 028 MURILLO 1 0 0 0 029 NATAGAIMA 0,825400649 0 0 0 030 ORTEGA 0,868174395 0 0 0 031 PALOCABILDO0,918514815 0 0 0 032 PIEDRAS 1 0 0,176370008 0 033 PLANADAS 1 0 0 0 034 PRADO 0,876809535 0 0 165,6436251 035 PURIFICACION0,806054023 0 0 0 036 RIOBLANCO 1 0 0 0 037 RONCESVALLES1 0 0 0 038 ROVIRA 0,918789771 0 0 0 039 SALDAÑA 0,93139005 0 0 0 040 SAN ANTONIO 0,907193307 0 0 0 041 SAN LUIS 0,737090523 0 0 0 042 SANTA ISABEL0,818124794 0 0 59,51107757 043 SUAREZ 1 0 0 0,105406155 044 VALLE DE SAN 1JUAN1,53E-03 0 0 045 VENADILLO 0,862696492 0 0 0 046 VILLA HERMOSA0,887541056 0 0 973,1558972 047 VILLA RICA 0,767912368 0 0 879,1976845 0


No. DMU Score VX(0) VX(1) Insumo 1 VX(2) Insumo 2 VX(3) Insumo 3 UY(1) Producto Score1 ALPUJARRA 1 -3,107634471 1,14E-03 0,135902898 3,970627278 1 0,999968922 ALVARADO 0,68466078 -8,54E-02 1,327852211 3,70E-02 0,181042278 1 0,684660783 AMBALEMA 0,890414409 -0,38786333 0,221745931 0,410670352 0,878519618 1 0,890414414 ANZOATEGUI 0,940538712 -0,291474904 0,213298635 0,381932125 0,759464602 1 0,940538715 ATACO 0,959255482 -2,84E-02 0,918935956 1,34E-02 0,138607735 1 0,959255486 CAJAMARCA 0,973575964 -0,164735312 0,212221354 0,318346056 0,661309118 1 0,973575967 CARMEN DE APICALA 1 -7,45E-02 0,943432398 0,022842656 0,108226717 1 0,999999258 CASABIANCA 1 -0,236959256 0,871585576 7,70E-02 0,288401487 1 0,999997639 CHAPARRAL 1 0,108069383 0,16946173 0,154600431 0,567868456 1 110 COELLO 0,714700615 -8,33E-02 1,350827978 2,27E-02 0,108934837 1 0,7147006211 COYAIMA 0,918240472 0,224324313 0,116214039 0,163314002 0,585186989 1 0,9182404712 CUNDAY 0,638241021 -9,22E-02 1,656989022 2,00E-03 0 1 0,6382410213 DOLORES 0,794728158 -0,154611609 0,452023074 0,396239143 0,564641288 1 0,7947281614 ESPINAL 1 9,65E-02 0,458596112 2,15E-02 0,423339027 1 115 FALAN 0,849507444 -8,53E-02 0,632823877 0,268023492 0,361600081 1 0,8495074416 FLANDES 1 -7,47E-03 0,492132379 0,017762983 0,497576226 1 0,9999999317 FRESNO 0,942784113 -3,35E-02 0,374617399 0,420238798 0,299378198 1 0,9427841118 GUAMO 0,872787257 0,17220271 0,184187582 0,170285024 0,619079267 1 0,8727872619 GUAYABAL-ARMERO 0,831521019 -5,29E-02 1,08319554 2,79E-02 0,144422234 1 0,8315210220 HERVEO 0,855917098 -0,302244224 0 1,470581674 0 1 0,855917121 HONDA 1 0 0,87381037 1,03E-02 0,11585306 1 122 IBAGUE 1 0 1 0 0 1 123 ICONONZO 0,629876902 -4,54E-02 1,417102384 2,41E-02 0,191829893 1 0,629876924 LERIDA 1 0 0 0,701012129 0,298987871 1 125 LIBANO 0,821818304 -1,98E-02 0,620274808 0,262979913 0,353348339 1 0,821818326 MARIQUITA 1 0 0,513193733 0,210706819 0,276099447 1 127 MELGAR 1 0 0,991072736 0 8,93E-03 1 128 MURILLO 1 -7,692914916 0 4,031160216 4,66183163 1 0,9999230829 NATAGAIMA 0,825400649 -4,17E-02 0,664260304 0,300255405 0,288736177 1 0,8254006530 ORTEGA 0,868174395 -0,015574511 0,998109427 2,24E-02 0,146917124 1 0,8681743931 PALOCABILDO0,918514815 -0,166880524 0,8928311 6,64E-02 0,296406278 1 0,9185148232 PIEDRAS 1 -0,671437259 1,419245938 0 0,252198036 1 0,9999932933 PLANADAS 1 -6,29E-03 0,865210525 8,95E-03 0,13213227 1 0,9999999434 PRADO 0,876809535 -9,01E-02 1,228493405 2,09E-03 0 1 0,8768095435 PURIFICACION0,806054023 -0,026323316 1,077638976 5,00E-02 0,139342742 1 0,8060540236 RIOBLANCO 1 0 0 9,12E-03 0,990883623 1 137 RONCESVALLES 1 -0,105477686 0,942261614 1,43E-02 0,148877206 1 0,9999989538 ROVIRA 0,918789771 -3,12E-02 0,598098278 0,254622972 0,266861224 1 0,9187897739 SALDAÑA 0,93139005 -0,231252058 0,206246764 0,422552459 0,676116871 1 0,9313900540 SAN ANTONIO0,907193307 -4,65E-02 0,996016028 2,65E-02 0,126258951 1 0,9071933141 SAN LUIS 0,737090523 -4,23E-02 1,222410487 2,39E-02 0,152656195 1 0,7370905242 SANTA ISABEL0,818124794 -0,108573308 1,329121068 1,76E-03 0 1 0,8181247943 SUAREZ 1 -5,238075764 5,943557492 0,294570653 0 1 0,9999476244 VALLE DE SAN 1JUAN-1,629870335 0 1,095033551 1,534853083 1 0,999983745 VENADILLO 0,862696492 -5,59E-02 0,615577157 0,321272524 0,278248523 1 0,8626964946 VILLA HERMOSA 0,887541056 -8,29E-02 1,207680087 0,001938881 0 1 0,8875410647 VILLA RICA 0,767912368 -0,145798442 1,4459299 2,10E-03 0 1 0,76791237


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU Score V(0) V(1) Insumo 1 V(2) Insumo 2 V(3) Insumo 3 U(1) Producto1 ALPUJARRA 1 -3,107665547 2,06E-05 1,32E-04 1,74E-03 8,84E-042 ALVARADO 0,68466078 -8,54E-02 0,013147052 3,46E-05 3,39E-05 4,72E-043 AMBALEMA 0,890414409 -0,387867209 2,96E-03 7,73E-04 2,43E-04 5,28E-044 ANZOATEGUI 0,940538712 -0,291477819 2,22E-03 5,81E-04 1,83E-04 3,97E-045 ATACO 0,959255482 -2,84E-02 5,44E-03 0 1,44E-05 1,95E-046 CAJAMARCA 0,973575964 -0,164736959 1,26E-03 3,28E-04 1,03E-04 2,24E-047 CARMEN DE APICALA 1 -0,074501771 1,43E-02 1,96E-05 4,04E-05 5,17E-048 CASABIANCA 1 -0,236961626 1,58E-02 1,45E-04 1,15E-04 6,64E-049 CHAPARRAL 1 0,108069383 3,57E-04 5,81E-05 2,70E-05 7,73E-0510 COELLO 0,714700615 -8,33E-02 1,30E-02 1,15E-05 2,00E-05 4,35E-0411 COYAIMA 0,918240472 0,224324313 3,80E-04 6,61E-05 5,23E-05 1,30E-0412 CUNDAY 0,638241021 -9,22E-02 1,43E-02 0 0 4,30E-0413 DOLORES 0,794728158 -0,154613155 0,00456589 6,51E-04 1,19E-04 4,38E-0414 ESPINAL 1 9,65E-02 8,79E-04 0 2,02E-05 7,07E-0515 FALAN 0,849507444 -8,53E-02 7,11E-03 5,19E-04 7,37E-05 4,45E-0416 FLANDES 1 -7,47E-03 2,66E-03 0 7,78E-05 1,84E-0417 FRESNO 0,942784113 -0,033546513 1,41E-03 3,05E-04 2,49E-05 1,39E-0418 GUAMO 0,872787257 0,17220271 5,68E-04 9,26E-05 4,30E-05 1,23E-0419 GUAYABAL-ARMERO 0,831521019 -5,29E-02 8,14E-03 2,15E-05 2,10E-05 2,92E-0420 HERVEO 0,855917098 -0,302247247 0 3,53E-03 0 5,14E-0421 HONDA 1 0 4,33E-03 0 1,57E-05 1,64E-0422 IBAGUE 1 0 3,63E-04 0 0 1,10E-0523 ICONONZO 0,629876902 -4,54E-02 8,69E-03 1,16E-05 2,30E-05 3,12E-0424 LERIDA 1 0 0 8,97E-04 4,56E-05 2,28E-0425 LIBANO 0,821818304 -1,98E-02 1,65E-03 1,20E-04 1,71E-05 1,03E-0426 MARIQUITA 1 0 1,91E-03 1,46E-04 2,46E-05 1,31E-0427 MELGAR 1 0 4,05E-03 0 0 1,24E-0428 MURILLO 1 -7,692991846 0 9,72E-03 1,69E-03 9,03E-0429 NATAGAIMA 0,825400649 -4,17E-02 3,48E-03 2,54E-04 3,61E-05 2,18E-0430 ORTEGA 0,868174395 -1,56E-02 2,98E-03 0 0 1,07E-0431 PALOCABILDO0,918514815 -0,166882193 1,12E-02 1,02E-04 8,10E-05 4,68E-0432 PIEDRAS 1 -0,671443974 2,78E-02 0 1,11E-04 7,56E-0433 PLANADAS 1 -6,29E-03 3,38E-03 0 1,11E-05 1,26E-0434 PRADO 0,876809535 -9,01E-02 1,40E-02 0 0 4,20E-0435 PURIFICACION0,806054023 -2,63E-02 5,04E-03 0 1,33E-05 1,81E-0436 RIOBLANCO 1 0 0 0 1,44E-04 1,58E-0437 RONCESVALLES 1 -0,105478741 1,62E-02 4,28E-05 4,19E-05 5,83E-0438 ROVIRA 0,918789771 -3,12E-02 2,60E-03 1,90E-04 2,70E-05 1,63E-0439 SALDAÑA 0,93139005 -0,231254371 1,76E-03 4,61E-04 1,45E-04 3,15E-0440 SAN ANTONIO0,907193307 -0,046523562 7,17E-03 1,89E-05 1,85E-05 2,57E-0441 SAN LUIS 0,737090523 -4,23E-02 8,10E-03 1,08E-05 2,14E-05 2,90E-0442 SANTA ISABEL0,818124794 -0,108574394 1,68E-02 0 0 5,07E-0443 SUAREZ 1 -5,238128145 0,112142594 7,68E-04 0 8,89E-0444 VALLE DE SAN 1JUAN-1,629886634 0 2,35E-03 5,87E-04 7,24E-0445 VENADILLO 0,862696492 -5,59E-02 4,66E-03 3,40E-04 4,84E-05 2,92E-0446 VILLA HERMOSA 0,887541056 -8,29E-02 1,28E-02 0 0 3,87E-0447 VILLA RICA 0,767912368 -0,1457999 2,26E-02 0 0 6,80E-04


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU 1/ScoreI/O Data Projection Difference %1 ALPUJARRA 1Insumo 1 55 55 0 0,00%Insumo 2 1032,16 1032,16 0 0,00%Insumo 3 2280,82 2280,82 0 0,00%Producto 1131 1131 0 0,00%2 ALVARADO 1,46057731Insumo 1 101 101 0 0,00%Insumo 2 1069,58 1069,58 0 0,00%Insumo 3 5334,94 5334,94 0 0,00%Producto 2118 3093,502743 975,5027427 46,06%3 AMBALEMA 1,123072572Insumo 1 75 75 0 0,00%Insumo 2 531,25 531,25 0 0,00%Insumo 3 3615 3615 0 0,00%Producto 1893 2125,976378 232,9763781 12,31%4 ANZOATEGUI 1,063220458Insumo 1 96 96 0 0,00%Insumo 2 657,46 657,46 0 0,00%Insumo 3 4158,55 4158,55 0 0,00%Producto 2519 2678,252334 159,2523335 6,32%5 ATACO 1,042475147Insumo 1 169 169 0 0,00%Insumo 2 1838,95 1838,95 0 0,00%Insumo 3 9625,54 9625,54 0 0,00%Producto 5126 5343,727605 217,7276047 4,25%6 CAJAMARCA 1,027141216Insumo 1 169 169 0 0,00%Insumo 2 969,61 969,61 0 0,00%Insumo 3 6406,98 6406,98 0 0,00%Producto 4457 4577,968401 120,9684006 2,71%7 CARMEN DE APICALA 1Insumo 1 66 66 0 0,00%Insumo 2 1164,81 1164,81 0 0,00%Insumo 3 2679 2679 0 0,00%Producto 1935 1935 0 0,00%8 CASABIANCA 1Insumo 1 55 55 0 0,00%Insumo 2 531,2 531,2 0 0,00%Insumo 3 2508,66 2508,66 0 0,00%Producto 1505 1505 0 0,00%9 CHAPARRAL 1Insumo 1 475 475 0 0,00%Insumo 2 2659,73 2659,73 0 0,00%Insumo 3 21064,77 21064,77 0 0,00%Producto 12934 12934 0 0,00%10 COELLO 1,399187267Insumo 1 104 104 0 0,00%Insumo 2 1972,16 1972,16 0 0,00%Insumo 3 5449,41 5449,41 0 0,00%Producto 2301 3219,5299 918,5299004 39,92%11 COYAIMA 1,089039343Insumo 1 306 306 0 0,00%Insumo 2 2470,01 2470,01 0 0,00%Insumo 3 11194,75 11194,75 0 0,00%Producto 7691 8375,801585 684,8015851 8,90%


12 CUNDAY 1,566806218Insumo 1 116 116 0 0,00%Insumo 2 750,31 750,31 0 0,00%Insumo 3 7783,3 7558,608091 -224,6919093 -2,89%Producto 2325 3642,824458 1317,824458 56,68%13 DOLORES 1,258291895Insumo 1 99 99 0 0,00%Insumo 2 608,55 608,55 0 0,00%Insumo 3 4746,11 4746,11 0 0,00%Producto 2283 2872,680397 589,680397 25,83%14 ESPINAL 1Insumo 1 522 522 0 0,00%Insumo 2 4812,81 4812,81 0 0,00%Insumo 3 21004,66 21004,66 0 0,00%Producto 14142 14142 0 0,00%15 FALAN 1,177152722Insumo 1 89 89 0 0,00%Insumo 2 516,58 516,58 0 0,00%Insumo 3 4903,12 4903,12 0 0,00%Producto 2247 2645,062167 398,0621675 17,72%16 FLANDES 1Insumo 1 185 185 0 0,00%Insumo 2 1850,09 1850,09 0 0,00%Insumo 3 6398,93 6398,93 0 0,00%Producto 5431 5431 0 0,00%17 FRESNO 1,060688217Insumo 1 265 265 0 0,00%Insumo 2 1378,01 1378,01 0 0,00%Insumo 3 12021,16 12021,16 0 0,00%Producto 7170 7605,134519 435,1345194 6,07%18 GUAMO 1,145754583Insumo 1 324 324 0 0,00%Insumo 2 1838,51 1838,51 0 0,00%Insumo 3 14411,79 14411,79 0 0,00%Producto 8117 9300,089953 1183,089953 14,58%19 GUAYABAL-ARMERO 1,202615421Insumo 1 133 133 0 0,00%Insumo 2 1299,34 1299,34 0 0,00%Insumo 3 6870 6870 0 0,00%Producto 3419 4111,742125 692,7421248 20,26%20 HERVEO 1,16833745Insumo 1 79 74,76371715 -4,236282854 -5,36%Insumo 2 416,22 416,22 0 0,00%Insumo 3 5255,26 4725,964281 -529,2957192 -10,07%Producto 1944 2271,248003 327,2480028 16,83%21 HONDA 1Insumo 1 202 202 0 0,00%Insumo 2 1560,85 1560,85 0 0,00%Insumo 3 7389,85 7389,85 0 0,00%Producto 6080 6080 0 0,00%22 IBAGUE 1Insumo 1 2753 2753 0 0,00%Insumo 2 13377,95 13377,95 0 0,00%Insumo 3 192557 192557 0 0,00%Producto 91299 91299 0 0,00%23 ICONONZO 1,587611796Insumo 1 163 163 0 0,00%Insumo 2 2077,7 2077,7 0 0,00%Insumo 3 8331,8 8331,8 0 0,00%


Producto 3206 5089,883417 1883,883417 58,76%24 LERIDA 1Insumo 1 173 173 0 0,00%Insumo 2 781,24 781,24 0 0,00%Insumo 3 6551,1 6551,1 0 0,00%Producto 4391 4391 0 0,00%25 LIBANO 1,216813979Insumo 1 376 376 0 0,00%Insumo 2 2184,66 2184,66 0 0,00%Insumo 3 20651,12 20651,12 0 0,00%Producto 9685 11784,84339 2099,843387 21,68%26 MARIQUITA 1Insumo 1 268 268 0 0,00%Insumo 2 1440,32 1440,32 0 0,00%Insumo 3 11215,93 11215,93 0 0,00%Producto 7628 7628 0 0,00%27 MELGAR 1Insumo 1 245 245 0 0,00%Insumo 2 20269,12 20269,12 0 0,00%Insumo 3 8268,92 8268,92 0 0,00%Producto 8048 8048 0 0,00%28 MURILLO 1Insumo 1 58 58 0 0,00%Insumo 2 414,88 414,88 0 0,00%Insumo 3 2765,18 2765,18 0 0,00%Producto 1107 1107 0 0,00%29 NATAGAIMA 1,211532849Insumo 1 191 191 0 0,00%Insumo 2 1183,16 1183,16 0 0,00%Insumo 3 8004,48 8004,48 0 0,00%Producto 4594 5565,781908 971,7819076 21,15%30 ORTEGA 1,15184231Insumo 1 335 335 0 0,00%Insumo 2 5626,62 5626,62 0 0,00%Insumo 3 18619,81 18619,81 0 0,00%Producto 9355 10775,48481 1420,484806 15,18%31 PALOCABILDO1,088714067Insumo 1 80 80 0 0,00%Insumo 2 650,23 650,23 0 0,00%Insumo 3 3661 3661 0 0,00%Producto 2137 2326,581961 189,5819615 8,87%32 PIEDRAS 1Insumo 1 51 51 0 0,00%Insumo 2 2436,86 2436,68363 -0,176370008 -0,01%Insumo 3 2272,14 2272,14 0 0,00%Producto 1323 1323 0 0,00%33 PLANADAS 1Insumo 1 256 256 0 0,00%Insumo 2 1800,35 1800,35 0 0,00%Insumo 3 11858,12 11858,12 0 0,00%Producto 7932 7932 0 0,00%34 PRADO 1,140498546Insumo 1 88 88 0 0,00%Insumo 2 804,42 804,42 0 0,00%Insumo 3 5676,88 5511,236375 -165,6436251 -2,92%Producto 2379 2713,24604 334,24604 14,05%35 PURIFICACION1,240611636Insumo 1 214 214 0 0,00%Insumo 2 7427,21 7427,21 0 0,00%


Insumo 3 10448,67 10448,67 0 0,00%Producto 5535 6866,785404 1331,785404 24,06%36 RIOBLANCO 1Insumo 1 231 231 0 0,00%Insumo 2 2270,15 2270,15 0 0,00%Insumo 3 6869 6869 0 0,00%Producto 6316 6316 0 0,00%37 RONCESVALLES1Insumo 1 58 58 0 0,00%Insumo 2 335,09 335,09 0 0,00%Insumo 3 3550,28 3550,28 0 0,00%Producto 1714 1714 0 0,00%38 ROVIRA 1,08838826Insumo 1 230 230 0 0,00%Insumo 2 1341,87 1341,87 0 0,00%Insumo 3 9894,13 9894,13 0 0,00%Producto 6144 6687,057468 543,0574681 8,84%39 SALDAÑA 1,073664036Insumo 1 117 117 0 0,00%Insumo 2 916,81 916,81 0 0,00%Insumo 3 4666,29 4666,29 0 0,00%Producto 3175 3408,883313 233,8833134 7,37%40 SAN ANTONIO 1,102300902Insumo 1 139 139 0 0,00%Insumo 2 1406,55 1406,55 0 0,00%Insumo 3 6826,35 6826,35 0 0,00%Producto 3886 4283,541304 397,541304 10,23%41 SAN LUIS 1,356685466Insumo 1 151 151 0 0,00%Insumo 2 2213,81 2213,81 0 0,00%Insumo 3 7120,5 7120,5 0 0,00%Producto 3443 4671,06806 1228,06806 35,67%42 SANTA ISABEL1,222307412Insumo 1 79 79 0 0,00%Insumo 2 560,64 560,64 0 0,00%Insumo 3 5027,9 4968,388922 -59,51107757 -1,18%Producto 1974 2412,834832 438,8348322 22,23%43 SUAREZ 1Insumo 1 53 53 0 0,00%Insumo 2 383,46 383,46 0 0,00%Insumo 3 3645 3644,894594 -0,105406155 0,00%Producto 1125 1125 0 0,00%44 VALLE DE SAN 1JUANInsumo 1 60 59,9984698 -1,53E-03 0,00%Insumo 2 466,58 466,58 0 0,00%Insumo 3 2614,03 2614,03 0 0,00%Producto 1381 1381 0 0,00%45 VENADILLO 1,159156215Insumo 1 132 132 0 0,00%Insumo 2 944,11 944,11 0 0,00%Insumo 3 5752,56 5752,56 0 0,00%Producto 3426 3971,269193 545,2691933 15,92%46 VILLA HERMOSA1,126708441Insumo 1 94 94 0 0,00%Insumo 2 808,95 808,95 0 0,00%Insumo 3 6916 5942,844103 -973,1558972 -14,07%Producto 2585 2912,541321 327,5413208 12,67%47 VILLA RICA 1,302231924Insumo 1 64 64 0 0,00%


Insumo 2 498,36 498,36 0 0,00%Insumo 3 4791,05 3911,852315 -879,1976845 -18,35%Producto 1470 1914,280929 444,2809286 30,22%


MunicipioDMUICONONZOALVARADOSAN LUISDOLORESSANTA ISABELNATAGAIMAFALANVENADILLOGUAMOVILLA HERMOSASAN ANTONIOPALOCABILDOSALDAÑAFRESNOCAJAMARCAFLANDESESPINALMARIQUITAMURILLOCASABIANCAPIEDRASRIOBLANCOSUAREZVALLE DE SAN JUAN0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


MunicipioDMUVILLA RICAVENADILLOSUAREZSAN LUISSALDAÑARONCESVALLESPURIFICACIONPLANADASPALOCABILDONATAGAIMAMELGARLIBANOICONONZOHONDAGUAYABAL-ARMEROFRESNOFALANDOLORESCOYAIMACHAPARRALCARMEN DE APICALAATACOAMBALEMAALPUJARRA0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O)Rank DMU Score1 VALLE DE SAN JUAN 11 ALPUJARRA 11 SUAREZ 11 RONCESVALLES 11 RIOBLANCO 11 PLANADAS 11 PIEDRAS 11 CARMEN DE APICALA 11 CASABIANCA 11 CHAPARRAL 11 MURILLO 11 MELGAR 11 MARIQUITA 11 LERIDA 11 ESPINAL 11 IBAGUE 11 FLANDES 11 HONDA 119 CAJAMARCA 0,97357596420 ATACO 0,95925548221 FRESNO 0,94278411322 ANZOATEGUI 0,94053871223 SALDAÑA 0,9313900524 ROVIRA 0,91878977125 PALOCABILDO 0,91851481526 COYAIMA 0,91824047227 SAN ANTONIO 0,90719330728 AMBALEMA 0,89041440929 VILLA HERMOSA 0,88754105630 PRADO 0,87680953531 GUAMO 0,87278725732 ORTEGA 0,86817439533 VENADILLO 0,86269649234 HERVEO 0,85591709835 FALAN 0,84950744436 GUAYABAL-ARMERO 0,83152101937 NATAGAIMA 0,82540064938 LIBANO 0,82181830439 SANTA ISABEL 0,81812479440 PURIFICACION 0,80605402341 DOLORES 0,79472815842 VILLA RICA 0,76791236843 SAN LUIS 0,73709052344 COELLO 0,71470061545 ALVARADO 0,6846607846 CUNDAY 0,63824102147 ICONONZO 0,629876902


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)No.DMU Score Rank 1/Score Reference set (lambda)1 ALPUJARRA 1 1 1 ALPUJARRA 12 ALVARADO 0,68466078 45 1,46057731 CARMEN DE APICALA 0,6272490173 AMBALEMA 0,890414409 28 1,123072572 CASABIANCA 0,3993084644 ANZOATEGUI 0,940538712 22 1,063220458 CASABIANCA 0,4093466645 ATACO 0,959255482 20 1,042475147 CARMEN DE APICALA 0,8963393576 CAJAMARCA 0,973575964 19 1,027141216 CASABIANCA 6,55E-027 CARMEN DE APICALA 1 1 1 CARMEN DE APICALA 18 CASABIANCA 1 1 1 CASABIANCA 19 CHAPARRAL 1 1 1 CHAPARRAL 110 COELLO 0,714700615 44 1,399187267 CARMEN DE APICALA 0,64880867411 COYAIMA 0,918240472 26 1,089039343 CHAPARRAL 0,24748029512 CUNDAY 0,638241021 46 1,566806218 IBAGUE 2,10E-0213 DOLORES 0,794728158 41 1,258291895 HONDA 0,14881643514 ESPINAL 1 1 1 ESPINAL 115 FALAN 0,849507444 35 1,177152722 HONDA 4,69E-0216 FLANDES 1 1 1 FLANDES 117 FRESNO 0,942784113 21 1,060688217 IBAGUE 1,27E-0218 GUAMO 0,872787257 31 1,145754583 CHAPARRAL 0,20516920419 GUAYABAL-ARMERO 0,831521019 36 1,202615421 CARMEN DE APICALA 0,64304047420 HERVEO 0,855917098 34 1,16833745 IBAGUE 6,22E-0321 HONDA 1 1 1 HONDA 122 IBAGUE 1 1 1 IBAGUE 123 ICONONZO 0,629876902 47 1,587611796 CARMEN DE APICALA 0,71851278724 LERIDA 1 1 1 LERIDA 125 LIBANO 0,821818304 38 1,216813979 HONDA 0,54456981726 MARIQUITA 1 1 1 MARIQUITA 127 MELGAR 1 1 1 MELGAR 128 MURILLO 1 1 1 MURILLO 129 NATAGAIMA 0,825400649 37 1,211532849 HONDA 0,31784602230 ORTEGA 0,868174395 32 1,15184231 CARMEN DE APICALA 0,33999213531 PALOCABILDO 0,918514815 25 1,088714067 CARMEN DE APICALA 3,55E-0232 PIEDRAS 1 1 1 PIEDRAS 133 PLANADAS 1 1 1 PLANADAS 134 PRADO 0,876809535 30 1,140498546 IBAGUE 9,95E-0335 PURIFICACION 0,806054023 40 1,240611636 CARMEN DE APICALA 0,544305436 RIOBLANCO 1 1 1 RIOBLANCO 137 RONCESVALLES 1 1 1 RONCESVALLES 138 ROVIRA 0,918789771 24 1,08838826 HONDA 0,22745568239 SALDAÑA 0,93139005 23 1,073664036 CASABIANCA 0,4721513940 SAN ANTONIO 0,907193307 27 1,102300902 CARMEN DE APICALA 0,69745696741 SAN LUIS 0,737090523 43 1,356685466 CARMEN DE APICALA 0,65036673242 SANTA ISABEL 0,818124794 39 1,222307412 IBAGUE 7,34E-0343 SUAREZ 1 1 1 SUAREZ 144 VALLE DE SAN JUAN 1 1 1 VALLE DE SAN JUAN 145 VENADILLO 0,862696492 33 1,159156215 HONDA 0,47389558246 VILLA HERMOSA 0,887541056 29 1,126708441 IBAGUE 1,23E-0247 VILLA RICA 0,767912368 42 1,302231924 IBAGUE 1,74E-03


IBAGUE 0,009713199 PLANADAS 5,96E-02 RONCESVALLES0,303403959HONDA 7,08E-02 LERIDA 6,96E-02 RONCESVALLES0,460295822HONDA 0,134771452 LERIDA 0,172361139 RONCESVALLES0,283510746IBAGUE 3,34E-02 MELGAR 1,20E-02 PLANADAS 5,82E-02HONDA 0,285229865 LERIDA 0,609774266 RONCESVALLES 3,95E-02IBAGUE 1,19E-02 MELGAR 4,74E-02 RONCESVALLES0,291963509ESPINAL 5,55E-02 HONDA 5,32E-02 RIOBLANCO 0,643799255MELGAR 7,07E-03 RONCESVALLES0,971889723LERIDA 7,51E-02 MARIQUITA 5,21E-02 RONCESVALLES0,723992821IBAGUE 3,18E-03 MARIQUITA 7,47E-02 RONCESVALLES0,875189005LERIDA 0,200989393 MARIQUITA 0,712054543 RONCESVALLES 7,42E-02HONDA 0,189696092 IBAGUE 1,05E-02 MARIQUITA 0,59465184IBAGUE 1,25E-02 PLANADAS 0,182698695 RONCESVALLES0,161752903RONCESVALLES0,993769482IBAGUE 1,76E-02 MELGAR 2,87E-02 PLANADAS 0,235183409IBAGUE 6,91E-02 MARIQUITA 0,253821883 RONCESVALLES0,132477732IBAGUE 5,48E-04 MARIQUITA 0,408353959 RONCESVALLES0,273242182IBAGUE 5,83E-02 MELGAR 0,182321101 PLANADAS 0,41936415CASABIANCA 0,454754587 HONDA 0,160280931 RONCESVALLES0,349405773MELGAR 1,70E-02 RONCESVALLES0,973005973IBAGUE 2,60E-02 MELGAR 0,307132438 PLANADAS 0,122601404IBAGUE 4,28E-03 MARIQUITA 0,608195419 RONCESVALLES0,160062118HONDA 0,381857175 LERIDA 4,72E-02 RONCESVALLES 9,88E-02IBAGUE 9,47E-03 PLANADAS 0,251984429 RONCESVALLES 4,11E-02IBAGUE 7,61E-03 MELGAR 0,039995089 PLANADAS 0,302014167MELGAR 6,51E-03 RONCESVALLES0,986137385IBAGUE 1,90E-03 MARIQUITA 3,00E-03 RONCESVALLES0,521192496MELGAR 1,57E-02 RONCESVALLES0,971978185MELGAR 7,05E-03 RONCESVALLES0,991198805


<strong>DEA</strong> model = <strong>DEA</strong>-<strong>Solver</strong> LV3.0/ <strong>BCC</strong>(<strong>BCC</strong>-O)Problem = MunicipioNo. of DMUs = 47No. of Input items = 3Input(1) = Insumo 1Input(2) = Insumo 2Input(3) = Insumo 3No. of Output items = 1Output(1) = ProductoReturns to Scale = Variable (Sum of Lambda = 1)Statistics on Input/Output DataInsumo 1 Insumo 2 Insumo 3 ProductoMax 2753 20269,12 192557 91299Min 51 335,09 2272,14 1107Average 220,0851064 2181,899787 11567,18809 6213,319149SD 389,2499514 3442,674364 27112,24586 12917,47847CorrelationInsumo 1 Insumo 2 Insumo 3 ProductoInsumo 1 1 0,551842583 0,991803088 0,998298753Insumo 2 0,551842583 1 0,517879783 0,555093073Insumo 3 0,991803088 0,517879783 1 0,995190463Producto 0,998298753 0,555093073 0,995190463 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 47Average 0,903069352SD 0,104331726Maximum 1Minimum 0,629876902Frequency in Reference SetReferenceFrequency to other DMUsALPUJARRA 0CARMEN DE APICALA 10CASABIANCA 5CHAPARRAL 2ESPINAL 1FLANDES 0HONDA 13IBAGUE 22LERIDA 6MARIQUITA 8MELGAR 11MURILLO 0PIEDRAS 0PLANADAS 8RIOBLANCO 1RONCESVALLES 22SUAREZ 0VALLE DE SAN JUAN 0No. of DMUs in Data = 47No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 47Average of scores = 0,903069352No. of efficient DMUs = 18No. of inefficient DMUs = 29No. of over iteration DMUs = 0[<strong>BCC</strong>-O] LP started at 06-16-2008 12:33:59 and completed at 06-16-2008 12:33:59Elapsed time = 1 seconds


Total number of simplex iterations = 516


Municipio (I) Insumo 1 (I) Insumo 2 (I) Insumo 3 (O) ProductoALPUJARRA 55 1032,16 2280,82 1131ALVARADO 101 1069,58 5334,94 2118AMBALEMA 75 531,25 3615,00 1893ANZOATEGUI 96 657,46 4158,55 2519ATACO 169 1838,95 9625,54 5126CAJAMARCA 169 969,61 6406,98 4457CARMEN DE APICALA 66 1164,81 2679,00 1935CASABIANCA 55 531,20 2508,66 1505CHAPARRAL 475 2659,73 21064,77 12934COELLO 104 1972,16 5449,41 2301COYAIMA 306 2470,01 11194,75 7691CUNDAY 116 750,31 7783,30 2325DOLORES 99 608,55 4746,11 2283ESPINAL 522 4812,81 21004,66 14142FALAN 89 516,58 4903,12 2247FLANDES 185 1850,09 6398,93 5431FRESNO 265 1378,01 12021,16 7170GUAMO 324 1838,51 14411,79 8117GUAYABAL-ARMERO 133 1299,34 6870,00 3419HERVEO 79 416,22 5255,26 1944HONDA 202 1560,85 7389,85 6080IBAGUE 2753 13377,95 192557,00 91299ICONONZO 163 2077,70 8331,80 3206LERIDA 173 781,24 6551,10 4391LIBANO 376 2184,66 20651,12 9685MARIQUITA 268 1440,32 11215,93 7628MELGAR 245 20269,12 8268,92 8048MURILLO 58 414,88 2765,18 1107NATAGAIMA 191 1183,16 8004,48 4594ORTEGA 335 5626,62 18619,81 9355PALOCABILDO 80 650,23 3661,00 2137PIEDRAS 51 2436,86 2272,14 1323PLANADAS 256 1800,35 11858,12 7932PRADO 88 804,42 5676,88 2379PURIFICACION 214 7427,21 10448,67 5535RIOBLANCO 231 2270,15 6869,00 6316RONCESVALLES 58 335,09 3550,28 1714ROVIRA 230 1341,87 9894,13 6144SALDAÑA 117 916,81 4666,29 3175SAN ANTONIO 139 1406,55 6826,35 3886SAN LUIS 151 2213,81 7120,50 3443SANTA ISABEL 79 560,64 5027,90 1974SUAREZ 53 383,46 3645,00 1125VALLE DE SAN JUAN 60 466,58 2614,03 1381VENADILLO 132 944,11 5752,56 3426VILLA HERMOSA 94 808,95 6916,00 2585VILLA RICA 64 498,36 4791,05 147010344 102549,29 543657,84 29202628,23 0,351164931 0,537150352


j MunicipioConjunto de Municipios de referencia λjj λj j λj j λj j λj ∑λ1 ALPUJARRA 1 1,000000 1,0000002 ALVARADO 7 0,627249 22 0,009713 33 0,059624 37 0,303404 0,9999903 AMBALEMA 8 0,399308 21 0,070833 24 0,069553 37 0,460296 0,9999904 ANZOATEGUI 8 0,409347 21 0,134771 24 0,172361 37 0,283511 0,9999905 ATACO 7 0,896339 22 0,033416 27 0,011988 33 0,058247 0,9999906 CAJAMARCA 8 0,065520 21 0,285230 24 0,609774 37 0,039465 0,9999907 CARMEN DE APICALA 7 1,000000 1,0000008 CASABIANCA 8 1,000000 1,0000009 CHAPARRAL 9 1,000000 1,00000010 COELLO 7 0,648809 22 0,011857 27 0,047361 37 0,291964 0,99999011 COYAIMA 9 0,247480 14 0,055524 21 0,053196 36 0,643799 1,00000012 CUNDAY 22 0,021031 27 0,007069 37 0,971890 0,99999013 DOLORES 21 0,148816 24 0,075126 26 0,052055 37 0,723993 0,99999014 ESPINAL 14 1,000000 1,00000015 FALAN 21 0,046934 22 0,003175 26 0,074692 37 0,875189 0,99999016 FLANDES 16 1,000000 1,00000017 FRESNO 22 0,012748 24 0,200989 26 0,712055 37 0,074198 0,99999018 GUAMO 9 0,205169 21 0,189696 22 0,010483 26 0,594652 1,00000019 GUAYABAL-ARMERO 7 0,643040 22 0,012498 33 0,182699 37 0,161753 0,99999020 HERVEO 22 0,006221 37 0,993769 0,99999021 HONDA 21 1,000000 1,00000022 IBAGUE 22 1,000000 1,00000023 ICONONZO 7 0,718513 22 0,017556 27 0,028738 33 0,235183 0,99999024 LERIDA 24 1,000000 1,00000025 LIBANO 21 0,544570 22 0,069121 26 0,253822 37 0,132478 0,99999026 MARIQUITA 26 1,000000 1,00000027 MELGAR 27 1,000000 1,00000028 MURILLO 28 1,000000 1,00000029 NATAGAIMA 21 0,317846 22 0,000548 26 0,408354 37 0,273242 0,99999030 ORTEGA 7 0,339992 22 0,058313 27 0,182321 33 0,419364 0,99999031 PALOCABILDO 7 0,035549 8 0,454755 21 0,160281 37 0,349406 0,99999032 PIEDRAS 32 1,000000 1,00000033 PLANADAS 33 1,000000 1,00000034 PRADO 22 0,009950 27 0,017034 37 0,973006 0,99999035 PURIFICACION 7 0,544305 22 0,025951 27 0,307132 33 0,122601 0,99999036 RIOBLANCO 36 1,000000 1,00000037 RONCESVALLES 37 1,000000 1,00000038 ROVIRA 21 0,227456 22 0,004277 26 0,608195 37 0,160062 0,99999039 SALDAÑA 8 0,472151 21 0,381857 24 0,047214 37 0,098768 0,99999040 SAN ANTONIO 7 0,697457 22 0,009472 33 0,251984 37 0,041076 0,99999041 SAN LUIS 7 0,650367 22 0,007614 27 0,039995 33 0,302014 0,99999042 SANTA ISABEL 22 0,007341 27 0,006512 37 0,986137 0,99999043 SUAREZ 43 1,000000 1,00000044 VALLE DE SAN JUAN 44 1,000000 1,00000045 VENADILLO 21 0,473896 22 0,001904 26 0,002998 37 0,521192 0,99999046 VILLA HERMOSA 22 0,012266 27 0,015746 37 0,971978 0,99999047 VILLA RICA 22 0,001737 27 0,007054 37 0,991199 0,999990


Municipio Insumo 1 Insumo 2 Insumo 3 ProductoALPUJARRA 0,00 3,30 96,70 100ALVARADO 85,90 2,40 11,70 100AMBALEMA 14,70 27,20 58,10 100ANZOATEGUI 15,70 28,20 56,10 100ATACO 85,80 1,20 12,90 100CAJAMARCA 17,80 26,70 55,50 100CARMEN DE APICALA 0,00 0,00 100,00 100CASABIANCA 0,00 8,90 91,10 100CHAPARRAL 0,00 31,10 68,90 100COELLO 91,10 1,50 7,30 100COYAIMA 13,40 18,90 67,70 100CUNDAY 99,90 0,10 0,00 100DOLORES 32,00 28,00 40,00 100ESPINAL 50,80 2,40 46,90 100FALAN 50,10 21,20 28,60 100FLANDES 44,20 1,50 54,20 100FRESNO 34,20 38,40 27,40 100GUAMO 18,90 17,50 63,60 100GUAYABAL-ARMERO 86,30 2,20 11,50 100HERVEO 0,00 100,00 0,00 100HONDA 88,30 1,00 10,70 100IBAGUE 80,80 0,60 18,60 100ICONONZO 86,80 1,50 11,70 100LERIDA 37,90 36,90 25,30 100LIBANO 50,20 21,30 28,60 100MARIQUITA 54,80 21,50 23,80 100MELGAR 43,80 19,40 36,80 100MURILLO 0,00 46,40 53,60 100NATAGAIMA 53,00 24,00 23,00 100ORTEGA 85,50 1,90 12,60 100PALOCABILDO 71,10 5,30 23,60 100PIEDRAS 100,00 0,00 0,00 100PLANADAS 86,00 0,90 13,10 100PRADO 99,80 0,20 0,00 100PURIFICACION 85,10 3,90 11,00 100RIOBLANCO 55,70 2,90 41,30 100RONCESVALLES 0,00 100,00 0,00 100ROVIRA 53,40 22,70 23,80 100SALDAÑA 15,80 32,40 51,80 100SAN ANTONIO 86,70 2,30 11,00 100SAN LUIS 87,40 1,70 10,90 100SANTA ISABEL 99,90 0,10 0,00 100SUAREZ 95,30 4,70 0,00 100VALLE DE SAN JUAN 0,00 41,60 58,40 100VENADILLO 50,70 26,40 22,90 100VILLA HERMOSA 99,80 0,20 0,00 100VILLA RICA 99,90 0,10 0,00 100


Municipio I 1 P (%) I 2 P (%) I 3 P (%) P/DUCTO P (%)ALPUJARRA 55 55 0,0000 1032,16 1032,16 0 2280,82 2280,82 0,0 1131 1131,00 0,0ALVARADO 101 101 0,0000 1069,58 1069,58 0 5334,94 5334,94 0,0 2118 3093,50 46,1AMBALEMA 75 75 0,0000 531,25 531,25 0 3615,00 3615,00 0,0 1893 2125,97 12,3ANZOATEGUI 96 96 0,0000 657,46 657,46 0 4158,55 4158,55 0,0 2519 2678,24 6,3ATACO 169 169 0,0000 1838,95 1838,95 0 9625,54 9625,54 0,0 5126 5343,73 4,2CAJAMARCA 169 169 0,0000 969,61 969,61 0 6406,98 6406,98 0,0 4457 4577,96 2,7CARMEN DE APICALA 66 66 0,0000 1164,81 1164,81 0 2679,00 2679,00 0,0 1935 1935,00 0,0CASABIANCA 55 55 0,0000 531,20 531,20 0 2508,66 2508,66 0,0 1505 1505,00 0,0CHAPARRAL 475 475 0,0000 2659,73 2659,73 0 21064,77 21064,77 0,0 12934 12934,00 0,0COELLO 104 104 0,0000 1972,16 1972,16 0 5449,41 5449,41 0,0 2301 3219,53 39,9COYAIMA 306 306 0,0000 2470,01 2470,01 0 11194,75 11194,75 0,0 7691 8375,80 8,9CUNDAY 116 116 0,0000 750,31 750,31 0 7783,30 7558,60 -2,9 2325 3642,82 56,7DOLORES 99 99 0,0000 608,55 608,55 0 4746,11 4746,11 0,0 2283 2872,68 25,8ESPINAL 522 522 0,0000 4812,81 4812,81 0 21004,66 21004,66 0,0 14142 14142,00 0,0FALAN 89 89 0,0000 516,58 516,58 0 4903,12 4903,12 0,0 2247 2645,06 17,7FLANDES 185 185 0,0000 1850,09 1850,09 0 6398,93 6398,93 0,0 5431 5431,00 0,0FRESNO 265 265 0,0000 1378,01 1378,01 0 12021,16 12021,16 0,0 7170 7605,13 6,1GUAMO 324 324 0,0000 1838,51 1838,51 0 14411,79 14411,79 0,0 8117 9300,09 14,6GUAYABAL-ARMERO 133 133 0,0000 1299,34 1299,34 0 6870,00 6870,00 0,0 3419 4111,74 20,3HERVEO 79 74,76 -5,4000 416,22 416,22 0 5255,26 4725,95 -10,1 1944 2271,24 16,8HONDA 202 202 0,0000 1560,85 1560,85 0 7389,85 7389,85 0,0 6080 6080,00 0,0IBAGUE 2753 2753 0,0000 13377,95 13377,95 0 192557,00 192557,00 0,0 91299 91299,00 0,0ICONONZO 163 163 0,0000 2077,70 2077,70 0 8331,80 8331,80 0,0 3206 5089,88 58,8LERIDA 173 173 0,0000 781,24 781,24 0 6551,10 6551,10 0,0 4391 4391,00 0,0LIBANO 376 376 0,0000 2184,66 2184,66 0 20651,12 20651,12 0,0 9685 11784,84 21,7MARIQUITA 268 268 0,0000 1440,32 1440,32 0 11215,93 11215,93 0,0 7628 7628,00 0,0MELGAR 245 245 0,0000 20269,12 20269,12 0 8268,92 8268,92 0,0 8048 8048,00 0,0MURILLO 58 58 0,0000 414,88 414,88 0 2765,18 2765,18 0,0 1107 1107,00 0,0NATAGAIMA 191 191 0,0000 1183,16 1183,16 0 8004,48 8004,48 0,0 4594 5565,78 21,2ORTEGA 335 335 0,0000 5626,62 5626,62 0 18619,81 18619,81 0,0 9355 10775,48 15,2PALOCABILDO 80 80 0,0000 650,23 650,23 0 3661,00 3661,00 0,0 2137 2326,58 8,9PIEDRAS 51 51 0,0000 2436,86 2436,86 0 2272,14 2272,14 0,0 1323 1323,00 0,0PLANADAS 256 256 0,0000 1800,35 1800,35 0 11858,12 11858,12 0,0 7932 7932,00 0,0PRADO 88 88 0,0000 804,42 804,42 0 5676,88 5511,23 -2,9 2379 2713,24 14,0PURIFICACION 214 214 0,0000 7427,21 7427,21 0 10448,67 10448,67 0,0 5535 6866,78 24,1RIOBLANCO 231 231 0,0000 2270,15 2270,15 0 6869,00 6869,00 0,0 6316 6316,00 0,0RONCESVALLES 58 58 0,0000 335,09 335,09 0 3550,28 3550,28 0,0 1714 1714,00 0,0ROVIRA 230 230 0,0000 1341,87 1341,87 0 9894,13 9894,13 0,0 6144 6687,06 8,8SALDAÑA 117 117 0,0000 916,81 916,81 0 4666,29 4666,29 0,0 3175 3408,88 7,4SAN ANTONIO 139 139 0,0000 1406,55 1406,55 0 6826,35 6826,35 0,0 3886 4283,54 10,2SAN LUIS 151 151 0,0000 2213,81 2213,81 0 7120,50 7120,50 0,0 3443 4671,07 35,7SANTA ISABEL 79 79 0,0000 560,64 560,64 0 5027,90 4968,38 -1,2 1974 2412,83 22,2SUAREZ 53 53 0,0000 383,46 383,46 0 3645,00 3645,00 0,0 1125 1125,00 0,0VALLE DE SAN JUAN 60 60 0,0000 466,58 466,58 0 2614,03 2614,03 0,0 1381 1381,00 0,0VENADILLO 132 132 0,0000 944,11 944,11 0 5752,56 5752,56 0,0 3426 3971,27 15,9VILLA HERMOSA 94 94 0,0000 808,95 808,95 0 6916,00 5942,84 -14,1 2585 2912,54 12,7VILLA RICA 64 64 0,0000 498,36 498,36 0 4791,05 3911,85 -18,4 1470 1914,28 30,210344 10340 -0,0410 102549,29 102549,29 0,0000 543657,84 540826,30 -0,5208 292026,00 312669,54 7,0691-4,24


Municipio Producto Proyección (%)ALPUJARRA 1131 1131,00 0,0ALVARADO 2118 3093,50 46,1AMBALEMA 1893 2125,97 12,3ANZOATEGUI 2519 2678,24 6,3ATACO 5126 5343,73 4,2CAJAMARCA 4457 4577,96 2,7CARMEN DE APICALA 1935 1935,00 0,0CASABIANCA 1505 1505,00 0,0CHAPARRAL 12934 12934,00 0,0COELLO 2301 3219,53 39,9COYAIMA 7691 8375,80 8,9CUNDAY 2325 3642,82 56,7DOLORES 2283 2872,68 25,8ESPINAL 14142 14142,00 0,0FALAN 2247 2645,06 17,7FLANDES 5431 5431,00 0,0FRESNO 7170 7605,13 6,1GUAMO 8117 9300,09 14,6GUAYABAL-ARMERO 3419 4111,74 20,3HERVEO 1944 2271,24 16,8HONDA 6080 6080,00 0,0IBAGUE 91299 91299,00 0,0ICONONZO 3206 5089,88 58,8LERIDA 4391 4391,00 0,0LIBANO 9685 11784,84 21,7MARIQUITA 7628 7628,00 0,0MELGAR 8048 8048,00 0,0MURILLO 1107 1107,00 0,0NATAGAIMA 4594 5565,78 21,2ORTEGA 9355 10775,48 15,2PALOCABILDO 2137 2326,58 8,9PIEDRAS 1323 1323,00 0,0PLANADAS 7932 7932,00 0,0PRADO 2379 2713,24 14,0PURIFICACION 5535 6866,78 24,1RIOBLANCO 6316 6316,00 0,0RONCESVALLES 1714 1714,00 0,0ROVIRA 6144 6687,06 8,8SALDAÑA 3175 3408,88 7,4SAN ANTONIO 3886 4283,54 10,2SAN LUIS 3443 4671,07 35,7SANTA ISABEL 1974 2412,83 22,2SUAREZ 1125 1125,00 0,0VALLE DE SAN JUAN 1381 1381,00 0,0VENADILLO 3426 3971,27 15,9VILLA HERMOSA 2585 2912,54 12,7VILLA RICA 1470 1914,28 30,2


No. Municipio CCR (ETG) <strong>BCC</strong> (ETP) ETP > ETG EE Rank21 HONDA 1,0000000 1,0000000 0,0000000 1,0000000 122 IBAGUE 1,0000000 1,0000000 0,0000000 1,0000000 124 LERIDA 1,0000000 1,0000000 0,0000000 1,0000000 126 MARIQUITA 1,0000000 1,0000000 0,0000000 1,0000000 127 MELGAR 1,0000000 1,0000000 0,0000000 1,0000000 136 RIOBLANCO 1,0000000 1,0000000 0,0000000 1,0000000 133 PLANADAS 0,9995218 1,0000000 0,0004782 0,9995218 116 FLANDES 0,9991028 1,0000000 0,0008972 0,9991028 17 CARMEN DE APICALA 0,9494081 1,0000000 0,0505919 0,9494081 19 CHAPARRAL 0,9330707 1,0000000 0,0669293 0,9330707 137 RONCESVALLES 0,9129909 1,0000000 0,0870091 0,9129909 114 ESPINAL 0,8880410 1,0000000 0,1119590 0,8880410 18 CASABIANCA 0,8816356 1,0000000 0,1183644 0,8816356 132 PIEDRAS 0,7988955 1,0000000 0,2011045 0,7988955 144 VALLE DE SAN JUAN 0,7481038 1,0000000 0,2518962 0,7481038 11 ALPUJARRA 0,6631455 1,0000000 0,3368545 0,6631455 143 SUAREZ 0,6403623 1,0000000 0,3596377 0,6403623 128 MURILLO 0,6130503 1,0000000 0,3869497 0,6130503 16 CAJAMARCA 0,9625166 0,9735760 0,0110594 0,9886404 195 ATACO 0,9429083 0,9592555 0,0163472 0,9829584 2017 FRESNO 0,9405937 0,9427841 0,0021904 0,9976766 214 ANZOATEGUI 0,8636161 0,9405387 0,0769226 0,9182143 2239 SALDAÑA 0,8921313 0,9313901 0,0392588 0,9578492 2338 ROVIRA 0,9149836 0,9187898 0,0038062 0,9958574 2431 PALOCABILDO 0,8619692 0,9185148 0,0565456 0,9384380 2511 COYAIMA 0,8346566 0,9182405 0,0835839 0,9089738 2640 SAN ANTONIO 0,8906464 0,9071933 0,0165469 0,9817603 273 AMBALEMA 0,8094838 0,8904144 0,0809306 0,9091090 2846 VILLA HERMOSA 0,8292259 0,8875411 0,0583151 0,9342959 2934 PRADO 0,8237616 0,8768095 0,0530480 0,9394989 3018 GUAMO 0,8552820 0,8727873 0,0175053 0,9799433 3130 ORTEGA 0,8652316 0,8681744 0,0029428 0,9966104 3245 VENADILLO 0,8442486 0,8626965 0,0184478 0,9786161 3320 HERVEO 0,7490043 0,8559171 0,1069128 0,8750898 3415 FALAN 0,8033148 0,8495074 0,0461926 0,9456242 3519 GUAYABAL-ARMERO 0,8130483 0,8315210 0,0184727 0,9777844 3629 NATAGAIMA 0,8184180 0,8254006 0,0069826 0,9915403 3725 LIBANO 0,8202159 0,8218183 0,0016024 0,9980502 3842 SANTA ISABEL 0,7652382 0,8181248 0,0528866 0,9353563 3935 PURIFICACION 0,7994656 0,8060540 0,0065885 0,9918263 4013 DOLORES 0,7568684 0,7947282 0,0378598 0,9523614 4147 VILLA RICA 0,6925921 0,7679124 0,0753202 0,9019156 4241 SAN LUIS 0,7264825 0,7370905 0,0106081 0,9856082 4310 COELLO 0,6901369 0,7147006 0,0245637 0,9656308 442 ALVARADO 0,6602315 0,6846608 0,0244293 0,9643191 4512 CUNDAY 0,6081618 0,6382410 0,0300793 0,9528716 4623 ICONONZO 0,6207328 0,6298769 0,0091441 0,9854827 47PROMEDIO 0,8400531 0,9030694 0,9331751DESVIASIÓN TIPICA 0,117362259 0,10545967 0,094004151VALOR MINIMO 0,6081618 0,6298769 0,6130503


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)Excess Excess Excess ShortageNo. DMU Score Insumo 1 Insumo 2 Insumo 3 ProductoS-(1) S-(2) S-(3) S+(1)1 ALPUJARRA 0,663145513 0 0 0 02 ALVARADO 0,660231491 0 0 0 03 AMBALEMA 0,80948379 0 0 0 04 ANZOATEGUI 0,863616115 0 0 0 05 ATACO 0,942908258 0 0 0 06 CAJAMARCA 0,962516567 0 0 0 07 CARMEN DE APICALA 0,949408107 0 0 0 08 CASABIANCA 0,881635553 0 0 0 09 CHAPARRAL 0,933070731 0 0 0 010 COELLO 0,690136936 0 0 0 011 COYAIMA 0,834656555 0 0 0 012 CUNDAY 0,608161756 0 0 0 013 DOLORES 0,756868399 0 0 0 014 ESPINAL 0,88804101 0 0 0 015 FALAN 0,8033148 0 0 0 016 FLANDES 0,999102822 0 0 0 017 FRESNO 0,940593671 0 0 0 018 GUAMO 0,855281991 0 0 0 019 GUAYABAL-ARMERO 0,81304828 0 0 0 020 HERVEO 0,749004336 0 0 0 021 HONDA 1 0 0 0 022 IBAGUE 1 0 0 0 023 ICONONZO 0,620732802 0 0 0 024 LERIDA 1 0 0 0 025 LIBANO 0,820215913 0 0 0 026 MARIQUITA 1 0 0 0 027 MELGAR 1 0 0 0 028 MURILLO 0,613050321 0 0 0 029 NATAGAIMA 0,818418038 0 0 0 030 ORTEGA 0,865231636 0 0 0 031 PALOCABILDO0,861969249 0 0 0 032 PIEDRAS 0,798895456 0 0 0 033 PLANADAS 0,999521784 0 0 0 034 PRADO 0,82376156 0 0 0 035 PURIFICACION0,799465571 0 0 0 036 RIOBLANCO 1 0 0 0 037 RONCESVALLES0,912990949 0 0 0 038 ROVIRA 0,914983604 0 0 0 039 SALDAÑA 0,892131258 0 0 0 040 SAN ANTONIO 0,890646371 0 0 0 041 SAN LUIS 0,726482459 0 0 0 042 SANTA ISABEL0,765238179 0 0 0 043 SUAREZ 0,640362263 0 0 0 044 VALLE DE SAN 0,748103805 JUAN0 0 0 045 VENADILLO 0,844248648 0 0 0 046 VILLA HERMOSA0,82922595 0 352,1656556 341,2241191 047 VILLA RICA 0,692592129 0 187,3578932 314,6068471 0


da < Infinity)


<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo d<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)No. DMU Score VX(1) Insumo 1 VX(2) Insumo 2 VX(3) Insumo 31 ALPUJARRA 0,663145513 1,278996891 3,67E-02 0,1922223462 ALVARADO 0,660231491 1,254194299 2,03E-02 0,2400927523 AMBALEMA 0,80948379 1,042029595 1,13E-02 0,1820258864 ANZOATEGUI 0,863616115 0,556673183 0,291253701 0,3099950025 ATACO 0,942908258 0,867116613 1,44E-02 0,1789871976 CAJAMARCA 0,962516567 7,80E-02 0,356201417 0,6047417497 CARMEN DE APICALA 0,949408107 0,897082471 2,42E-02 0,1319675678 CASABIANCA 0,881635553 0,96115979 1,42E-02 0,1588842229 CHAPARRAL 0,933070731 0,53643609 0,229474789 0,30581923410 COELLO 0,690136936 1,188737943 3,45E-02 0,22573990211 COYAIMA 0,834656555 1,046424789 1,29E-02 0,13874171412 CUNDAY 0,608161756 1,312213303 0,012993814 0,31909226713 DOLORES 0,756868399 0,633412337 0,297454566 0,3903667514 ESPINAL 0,88804101 0,97079845 0,013702719 0,14157295215 FALAN 0,8033148 0,578554358 0,256545736 0,40974190416 FLANDES 0,999102822 0,489663024 1,79E-02 0,49335790817 FRESNO 0,940593671 0,204734881 0,498228769 0,36019468418 GUAMO 0,855281991 0,583051208 0,25275557 0,33339824619 GUAYABAL-ARMERO 0,81304828 1,023109093 1,53E-02 0,19152836520 HERVEO 0,749004336 1,068809327 8,62E-03 0,25767566921 HONDA 1 0,87381037 1,03E-02 0,1158530622 IBAGUE 1 1 0 023 ICONONZO 0,620732802 1,337191141 0,026093851 0,24771413224 LERIDA 1 0 0,701012129 0,29898787125 LIBANO 0,820215913 0,567081468 0,251718142 0,40039156226 MARIQUITA 1 0,513193733 0,210706819 0,27609944727 MELGAR 1 0,991072736 0 8,93E-0328 MURILLO 0,613050321 1,378001775 0,015090156 0,23809553629 NATAGAIMA 0,818418038 0,607294868 0,287397359 0,32717722530 ORTEGA 0,865231636 0,941825445 2,42E-02 0,18971729331 PALOCABILDO0,861969249 0,98458875 1,23E-02 0,16329416732 PIEDRAS 0,798895456 1,013864079 7,42E-02 0,16370076533 PLANADAS 0,999521784 0,848841617 9,14E-03 0,14249794534 PRADO 0,82376156 0,972876324 1,36E-02 0,22745251235 PURIFICACION0,799465571 1,016870275 5,40E-02 0,17993632836 RIOBLANCO 1 0 9,12E-03 0,99088362337 RONCESVALLES0,912990949 0,889992978 7,87E-03 0,19743641438 ROVIRA 0,914983604 0,546806746 0,243719075 0,30238993839 SALDAÑA 0,892131258 0,969195829 1,16E-02 0,14008881540 SAN ANTONIO 0,890646371 0,940765556 1,46E-02 0,16744077341 SAN LUIS 0,726482459 1,153478035 2,59E-02 0,19712828142 SANTA ISABEL0,765238179 1,052566024 0,011435516 0,24278114243 SUAREZ 0,640362263 1,239061182 1,37E-02 0,30883070744 VALLE DE SAN 0,748103805 JUAN1,142686183 1,36E-02 0,18042318945 VENADILLO 0,844248648 1,013341845 1,11E-02 0,16004763646 VILLA HERMOSA0,82922595 1,205943929 0 047 VILLA RICA 0,692592129 1,443851235 0 0


a < Infinity)e Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Educación Cobertura-CCR-O.xlsxUY(1) Producto11111111111111111111111111111111111111111111111


a-CCR-O.xlsx


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)No. DMU Score V(1) Insumo 1 V(2) Insumo 2 V(3) Insumo 31 ALPUJARRA 0,663145513 0,023254489 3,56E-05 8,43E-052 ALVARADO 0,660231491 1,24E-02 1,90E-05 4,50E-053 AMBALEMA 0,80948379 1,39E-02 2,13E-05 5,04E-054 ANZOATEGUI 0,863616115 5,80E-03 4,43E-04 7,45E-055 ATACO 0,942908258 5,13E-03 0 1,86E-056 CAJAMARCA 0,962516567 4,62E-04 3,67E-04 9,44E-057 CARMEN DE APICALA 0,949408107 0,013592159 2,08E-05 4,93E-058 CASABIANCA 0,881635553 1,75E-02 2,68E-05 6,33E-059 CHAPARRAL 0,933070731 1,13E-03 8,63E-05 1,45E-0510 COELLO 0,690136936 0,011430173 1,75E-05 4,14E-0511 COYAIMA 0,834656555 3,42E-03 0 1,24E-0512 CUNDAY 0,608161756 1,13E-02 1,73E-05 4,10E-0513 DOLORES 0,756868399 6,40E-03 4,89E-04 8,22E-0514 ESPINAL 0,88804101 1,86E-03 0 015 FALAN 0,8033148 6,50E-03 4,97E-04 8,36E-0516 FLANDES 0,999102822 2,65E-03 0 7,71E-0517 FRESNO 0,940593671 7,73E-04 3,62E-04 3,00E-0518 GUAMO 0,855281991 1,80E-03 1,37E-04 2,31E-0519 GUAYABAL-ARMERO 0,81304828 7,69E-03 1,18E-05 2,79E-0520 HERVEO 0,749004336 1,35E-02 2,07E-05 4,90E-0521 HONDA 1 4,33E-03 0 1,57E-0522 IBAGUE 1 3,63E-04 0 023 ICONONZO 0,620732802 8,20E-03 1,26E-05 2,97E-0524 LERIDA 1 0 8,97E-04 4,56E-0525 LIBANO 0,820215913 1,51E-03 1,15E-04 1,94E-0526 MARIQUITA 1 1,91E-03 1,46E-04 2,46E-0527 MELGAR 1 4,05E-03 0 028 MURILLO 0,613050321 2,38E-02 3,64E-05 8,61E-0529 NATAGAIMA 0,818418038 3,18E-03 2,43E-04 4,09E-0530 ORTEGA 0,865231636 2,81E-03 0 1,02E-0531 PALOCABILDO0,861969249 1,23E-02 1,88E-05 4,46E-0532 PIEDRAS 0,798895456 1,99E-02 3,04E-05 7,20E-0533 PLANADAS 0,999521784 3,32E-03 0 1,20E-0534 PRADO 0,82376156 1,11E-02 1,69E-05 4,01E-0535 PURIFICACION0,799465571 4,75E-03 0 1,72E-0536 RIOBLANCO 1 0 0 1,44E-0437 RONCESVALLES0,912990949 1,53E-02 2,35E-05 5,56E-0538 ROVIRA 0,914983604 2,38E-03 1,82E-04 3,06E-0539 SALDAÑA 0,892131258 8,28E-03 1,27E-05 3,00E-0540 SAN ANTONIO 0,890646371 6,77E-03 1,04E-05 2,45E-0541 SAN LUIS 0,726482459 7,64E-03 1,17E-05 2,77E-0542 SANTA ISABEL0,765238179 1,33E-02 2,04E-05 4,83E-0543 SUAREZ 0,640362263 2,34E-02 3,58E-05 8,47E-0544 VALLE DE SAN 0,748103805 JUAN0,01904477 2,92E-05 6,90E-0545 VENADILLO 0,844248648 7,68E-03 1,18E-05 2,78E-0546 VILLA HERMOSA0,82922595 1,28E-02 0 047 VILLA RICA 0,692592129 2,26E-02 0 0


Lambda < Infinity)U(1) Producto8,84E-044,72E-045,28E-043,97E-041,95E-042,24E-045,17E-046,64E-047,73E-054,35E-041,30E-044,30E-044,38E-047,07E-054,45E-041,84E-041,39E-041,23E-042,92E-045,14E-041,64E-041,10E-053,12E-042,28E-041,03E-041,31E-041,24E-049,03E-042,18E-041,07E-044,68E-047,56E-041,26E-044,20E-041,81E-041,58E-045,83E-041,63E-043,15E-042,57E-042,90E-045,07E-048,89E-047,24E-042,92E-043,87E-046,80E-04


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)No. DMU 1/ScoreI/O Data Projection Difference %1 ALPUJARRA 1,507964662Insumo 1 55 55 0 0,00%Insumo 2 1032,16 1032,16 0 0,00%Insumo 3 2280,82 2280,82 0 0,00%Producto 1131 1705,508033 574,5080327 50,80%2 ALVARADO 1,514620271Insumo 1 101 101 0 0,00%Insumo 2 1069,58 1069,58 0 0,00%Insumo 3 5334,94 5334,94 0 0,00%Producto 2118 3207,965735 1089,965735 51,46%3 AMBALEMA 1,235355188Insumo 1 75 75 0 0,00%Insumo 2 531,25 531,25 0 0,00%Insumo 3 3615 3615 0 0,00%Producto 1893 2338,527371 445,5273709 23,54%4 ANZOATEGUI 1,157921886Insumo 1 96 96 0 0,00%Insumo 2 657,46 657,46 0 0,00%Insumo 3 4158,55 4158,55 0 0,00%Producto 2519 2916,80523 397,8052305 15,79%5 ATACO 1,060548565Insumo 1 169 169 0 0,00%Insumo 2 1838,95 1838,95 0 0,00%Insumo 3 9625,54 9625,54 0 0,00%Producto 5126 5436,371945 310,3719447 6,05%6 CAJAMARCA 1,038943156Insumo 1 169 169 0 0,00%Insumo 2 969,61 969,61 0 0,00%Insumo 3 6406,98 6406,98 0 0,00%Producto 4457 4630,569648 173,5696479 3,89%7 CARMEN DE APICALA 1,053287825Insumo 1 66 66 0 0,00%Insumo 2 1164,81 1164,81 0 0,00%Insumo 3 2679 2679 0 0,00%Producto 1935 2038,111942 103,1119418 5,33%8 CASABIANCA 1,134255528Insumo 1 55 55 0 0,00%Insumo 2 531,2 531,2 0 0,00%Insumo 3 2508,66 2508,66 0 0,00%Producto 1505 1707,05457 202,0545698 13,43%9 CHAPARRAL 1,071730113Insumo 1 475 475 0 0,00%Insumo 2 2659,73 2659,73 0 0,00%Insumo 3 21064,77 21064,77 0 0,00%Producto 12934 13861,75728 927,7572805 7,17%10 COELLO 1,448987798Insumo 1 104 104 0 0,00%Insumo 2 1972,16 1972,16 0 0,00%Insumo 3 5449,41 5449,41 0 0,00%Producto 2301 3334,120924 1033,120924 44,90%11 COYAIMA 1,198097582Insumo 1 306 306 0 0,00%Insumo 2 2470,01 2470,01 0 0,00%Insumo 3 11194,75 11194,75 0 0,00%Producto 7691 9214,5685 1523,5685 19,81%


12 CUNDAY 1,644299383Insumo 1 116 116 0 0,00%Insumo 2 750,31 750,31 0 0,00%Insumo 3 7783,3 7783,3 0 0,00%Producto 2325 3822,996066 1497,996066 64,43%13 DOLORES 1,321233654Insumo 1 99 99 0 0,00%Insumo 2 608,55 608,55 0 0,00%Insumo 3 4746,11 4746,11 0 0,00%Producto 2283 3016,376431 733,3764313 32,12%14 ESPINAL 1,126074121Insumo 1 522 522 0 0,00%Insumo 2 4812,81 4812,81 0 0,00%Insumo 3 21004,66 21004,66 0 0,00%Producto 14142 15924,94022 1782,940222 12,61%15 FALAN 1,244841998Insumo 1 89 89 0 0,00%Insumo 2 516,58 516,58 0 0,00%Insumo 3 4903,12 4903,12 0 0,00%Producto 2247 2797,159968 550,1599685 24,48%16 FLANDES 1,000897983Insumo 1 185 185 0 0,00%Insumo 2 1850,09 1850,09 0 0,00%Insumo 3 6398,93 6398,93 0 0,00%Producto 5431 5435,876948 4,876948209 0,09%17 FRESNO 1,063158333Insumo 1 265 265 0 0,00%Insumo 2 1378,01 1378,01 0 0,00%Insumo 3 12021,16 12021,16 0 0,00%Producto 7170 7622,845249 452,8452491 6,32%18 GUAMO 1,169205024Insumo 1 324 324 0 0,00%Insumo 2 1838,51 1838,51 0 0,00%Insumo 3 14411,79 14411,79 0 0,00%Producto 8117 9490,437176 1373,437176 16,92%19 GUAYABAL-ARMERO 1,22993926Insumo 1 133 133 0 0,00%Insumo 2 1299,34 1299,34 0 0,00%Insumo 3 6870 6870 0 0,00%Producto 3419 4205,162328 786,1623285 22,99%20 HERVEO 1,335105756Insumo 1 79 79 0 0,00%Insumo 2 416,22 416,22 0 0,00%Insumo 3 5255,26 5255,26 0 0,00%Producto 1944 2595,445589 651,4455891 33,51%21 HONDA 1Insumo 1 202 202 0 0,00%Insumo 2 1560,85 1560,85 0 0,00%Insumo 3 7389,85 7389,85 0 0,00%Producto 6080 6080 0 0,00%22 IBAGUE 1Insumo 1 2753 2753 0 0,00%Insumo 2 13377,95 13377,95 0 0,00%Insumo 3 192557 192557 0 0,00%Producto 91299 91299 0 0,00%23 ICONONZO 1,610999124Insumo 1 163 163 0 0,00%Insumo 2 2077,7 2077,7 0 0,00%Insumo 3 8331,8 8331,8 0 0,00%


Producto 3206 5164,863192 1958,863192 61,10%24 LERIDA 1Insumo 1 173 173 0 0,00%Insumo 2 781,24 781,24 0 0,00%Insumo 3 6551,1 6551,1 0 0,00%Producto 4391 4391 0 0,00%25 LIBANO 1,219191171Insumo 1 376 376 0 0,00%Insumo 2 2184,66 2184,66 0 0,00%Insumo 3 20651,12 20651,12 0 0,00%Producto 9685 11807,8665 2122,866495 21,92%26 MARIQUITA 1Insumo 1 268 268 0 0,00%Insumo 2 1440,32 1440,32 0 0,00%Insumo 3 11215,93 11215,93 0 0,00%Producto 7628 7628 0 0,00%27 MELGAR 1Insumo 1 245 245 0 0,00%Insumo 2 20269,12 20269,12 0 0,00%Insumo 3 8268,92 8268,92 0 0,00%Producto 8048 8048 0 0,00%28 MURILLO 1,631187466Insumo 1 58 58 0 0,00%Insumo 2 414,88 414,88 0 0,00%Insumo 3 2765,18 2765,18 0 0,00%Producto 1107 1805,724525 698,7245254 63,12%29 NATAGAIMA 1,221869452Insumo 1 191 191 0 0,00%Insumo 2 1183,16 1183,16 0 0,00%Insumo 3 8004,48 8004,48 0 0,00%Producto 4594 5613,268262 1019,268262 22,19%30 ORTEGA 1,155759866Insumo 1 335 335 0 0,00%Insumo 2 5626,62 5626,62 0 0,00%Insumo 3 18619,81 18619,81 0 0,00%Producto 9355 10812,13355 1457,133551 15,58%31 PALOCABILDO1,160134193Insumo 1 80 80 0 0,00%Insumo 2 650,23 650,23 0 0,00%Insumo 3 3661 3661 0 0,00%Producto 2137 2479,206771 342,2067714 16,01%32 PIEDRAS 1,251728236Insumo 1 51 51 0 0,00%Insumo 2 2436,86 2436,86 0 0,00%Insumo 3 2272,14 2272,14 0 0,00%Producto 1323 1656,036456 333,0364564 25,17%33 PLANADAS 1,000478445Insumo 1 256 256 0 0,00%Insumo 2 1800,35 1800,35 0 0,00%Insumo 3 11858,12 11858,12 0 0,00%Producto 7932 7935,795022 3,795021918 0,05%34 PRADO 1,213943511Insumo 1 88 88 0 0,00%Insumo 2 804,42 804,42 0 0,00%Insumo 3 5676,88 5676,88 0 0,00%Producto 2379 2887,971612 508,9716119 21,39%35 PURIFICACION1,250835604Insumo 1 214 214 0 0,00%Insumo 2 7427,21 7427,21 0 0,00%


Insumo 3 10448,67 10448,67 0 0,00%Producto 5535 6923,375066 1388,375066 25,08%36 RIOBLANCO 1Insumo 1 231 231 0 0,00%Insumo 2 2270,15 2270,15 0 0,00%Insumo 3 6869 6869 0 0,00%Producto 6316 6316 0 0,00%37 RONCESVALLES1,09530111Insumo 1 58 58 0 0,00%Insumo 2 335,09 335,09 0 0,00%Insumo 3 3550,28 3550,28 0 0,00%Producto 1714 1877,346102 163,3461022 9,53%38 ROVIRA 1,09291576Insumo 1 230 230 0 0,00%Insumo 2 1341,87 1341,87 0 0,00%Insumo 3 9894,13 9894,13 0 0,00%Producto 6144 6714,874427 570,8744265 9,29%39 SALDAÑA 1,12091129Insumo 1 117 117 0 0,00%Insumo 2 916,81 916,81 0 0,00%Insumo 3 4666,29 4666,29 0 0,00%Producto 3175 3558,893347 383,893347 12,09%40 SAN ANTONIO 1,122780076Insumo 1 139 139 0 0,00%Insumo 2 1406,55 1406,55 0 0,00%Insumo 3 6826,35 6826,35 0 0,00%Producto 3886 4363,123377 477,1233771 12,28%41 SAN LUIS 1,376495727Insumo 1 151 151 0 0,00%Insumo 2 2213,81 2213,81 0 0,00%Insumo 3 7120,5 7120,5 0 0,00%Producto 3443 4739,274787 1296,274787 37,65%42 SANTA ISABEL1,306782682Insumo 1 79 79 0 0,00%Insumo 2 560,64 560,64 0 0,00%Insumo 3 5027,9 5027,9 0 0,00%Producto 1974 2579,589014 605,5890142 30,68%43 SUAREZ 1,561616069Insumo 1 53 53 0 0,00%Insumo 2 383,46 383,46 0 0,00%Insumo 3 3645 3645 0 0,00%Producto 1125 1756,818078 631,8180779 56,16%44 VALLE DE SAN 1,336712892JUANInsumo 1 60 60 0 0,00%Insumo 2 466,58 466,58 0 0,00%Insumo 3 2614,03 2614,03 0 0,00%Producto 1381 1846,000504 465,0005036 33,67%45 VENADILLO 1,184485166Insumo 1 132 132 0 0,00%Insumo 2 944,11 944,11 0 0,00%Insumo 3 5752,56 5752,56 0 0,00%Producto 3426 4058,046177 632,0461775 18,45%46 VILLA HERMOSA1,205943929Insumo 1 94 94 0 0,00%Insumo 2 808,95 456,7843444 -352,1656556 -43,53%Insumo 3 6916 6574,775881 -341,2241191 -4,93%Producto 2585 3117,365056 532,3650563 20,59%47 VILLA RICA 1,443851235Insumo 1 64 64 0 0,00%


Insumo 2 498,36 311,0021068 -187,3578932 -37,59%Insumo 3 4791,05 4476,443153 -314,6068471 -6,57%Producto 1470 2122,461315 652,4613149 44,39%


Sum of Lambda < Infinity)


MunicipioDMUCUNDAYICONONZOALVARADOCOELLOSAN LUISHERVEOSANTA ISABELPURIFICACIONAMBALEMANATAGAIMAPRADOCOYAIMAGUAMOANZOATEGUICASABIANCASAN ANTONIORONCESVALLESCHAPARRALATACOCAJAMARCAPLANADASIBAGUEMARIQUITARIOBLANCO0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


MunicipioDMUVILLA RICAVENADILLOSUAREZSAN LUISSALDAÑARONCESVALLESPURIFICACIONPLANADASPALOCABILDONATAGAIMAMELGARLIBANOICONONZOHONDAGUAYABAL-ARMEROFRESNOFALANDOLORESCOYAIMACHAPARRALCARMEN DE APICALAATACOAMBALEMAALPUJARRA0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O)Rank DMU Score1 RIOBLANCO 11 MELGAR 11 MARIQUITA 11 LERIDA 11 IBAGUE 11 HONDA 17 PLANADAS 0,9995217848 FLANDES 0,9991028229 CAJAMARCA 0,96251656710 CARMEN DE APICALA 0,94940810711 ATACO 0,94290825812 FRESNO 0,94059367113 CHAPARRAL 0,93307073114 ROVIRA 0,91498360415 RONCESVALLES0,91299094916 SALDAÑA 0,89213125817 SAN ANTONIO 0,89064637118 ESPINAL 0,8880410119 CASABIANCA 0,88163555320 ORTEGA 0,86523163621 ANZOATEGUI 0,86361611522 PALOCABILDO0,86196924923 GUAMO 0,85528199124 VENADILLO 0,84424864825 COYAIMA 0,83465655526 VILLA HERMOSA0,8292259527 PRADO 0,8237615628 LIBANO 0,82021591329 NATAGAIMA 0,81841803830 GUAYABAL-ARMERO 0,8130482831 AMBALEMA 0,8094837932 FALAN 0,803314833 PURIFICACION0,79946557134 PIEDRAS 0,79889545635 SANTA ISABEL0,76523817936 DOLORES 0,75686839937 HERVEO 0,74900433638 VALLE DE SAN 0,748103805JUAN39 SAN LUIS 0,72648245940 VILLA RICA 0,69259212941 COELLO 0,69013693642 ALPUJARRA 0,66314551343 ALVARADO 0,66023149144 SUAREZ 0,64036226345 ICONONZO 0,62073280246 MURILLO 0,61305032147 CUNDAY 0,608161756


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)No. DMU Score Rank 1/Score Reference set (lambda)1 ALPUJARRA 0,663145513 42 1,507964662 HONDA2 ALVARADO 0,660231491 43 1,514620271 HONDA3 AMBALEMA 0,80948379 31 1,235355188 HONDA4 ANZOATEGUI 0,863616115 21 1,157921886 HONDA5 ATACO 0,942908258 11 1,060548565 HONDA6 CAJAMARCA 0,962516567 9 1,038943156 HONDA7 CARMEN DE APICALA 0,949408107 10 1,053287825 HONDA8 CASABIANCA 0,881635553 19 1,134255528 HONDA9 CHAPARRAL 0,933070731 13 1,071730113 HONDA10 COELLO 0,690136936 41 1,448987798 HONDA11 COYAIMA 0,834656555 25 1,198097582 HONDA12 CUNDAY 0,608161756 47 1,644299383 HONDA13 DOLORES 0,756868399 36 1,321233654 HONDA14 ESPINAL 0,88804101 18 1,126074121 HONDA15 FALAN 0,8033148 32 1,244841998 HONDA16 FLANDES 0,999102822 8 1,000897983 HONDA17 FRESNO 0,940593671 12 1,063158333 IBAGUE18 GUAMO 0,855281991 23 1,169205024 HONDA19 GUAYABAL-ARMERO 0,81304828 30 1,22993926 HONDA20 HERVEO 0,749004336 37 1,335105756 HONDA21 HONDA 1 1 1 HONDA22 IBAGUE 1 1 1 IBAGUE23 ICONONZO 0,620732802 45 1,610999124 HONDA24 LERIDA 1 1 1 LERIDA25 LIBANO 0,820215913 28 1,219191171 HONDA26 MARIQUITA 1 1 1 MARIQUITA27 MELGAR 1 1 1 MELGAR28 MURILLO 0,613050321 46 1,631187466 HONDA29 NATAGAIMA 0,818418038 29 1,221869452 HONDA30 ORTEGA 0,865231636 20 1,155759866 HONDA31 PALOCABILDO0,861969249 22 1,160134193 HONDA32 PIEDRAS 0,798895456 34 1,251728236 HONDA33 PLANADAS 0,999521784 7 1,000478445 HONDA34 PRADO 0,82376156 27 1,213943511 HONDA35 PURIFICACION0,799465571 33 1,250835604 HONDA36 RIOBLANCO 1 1 1 RIOBLANCO37 RONCESVALLES0,912990949 15 1,09530111 HONDA38 ROVIRA 0,914983604 14 1,09291576 HONDA39 SALDAÑA 0,892131258 16 1,12091129 HONDA40 SAN ANTONIO 0,890646371 17 1,122780076 HONDA41 SAN LUIS 0,726482459 39 1,376495727 HONDA42 SANTA ISABEL0,765238179 35 1,306782682 HONDA43 SUAREZ 0,640362263 44 1,561616069 HONDA44 VALLE DE SAN 0,748103805 JUAN38 1,336712892 HONDA45 VENADILLO 0,844248648 24 1,184485166 HONDA46 VILLA HERMOSA0,82922595 26 1,205943929 IBAGUE47 VILLA RICA 0,692592129 40 1,443851235 IBAGUE


Sum of Lambda < Infinity)rence set (lambda)0,187120289 IBAGUE 3,19E-03 MELGAR 3,44E-020,225735126 IBAGUE 0,018034202 MELGAR 2,35E-020,24008979 IBAGUE 9,50E-03 MELGAR 1,45E-030,316207897 IBAGUE 6,17E-03 MARIQUITA 5,65E-020,266171628 IBAGUE 3,78E-02 MELGAR 4,53E-020,290744958 LERIDA 0,517266938 MARIQUITA 7,75E-020,238807288 IBAGUE 3,16E-03 MELGAR 3,70E-020,187893055 IBAGUE 5,47E-03 MELGAR 8,13E-030,282308319 IBAGUE 1,92E-02 MARIQUITA 1,3622178190,176680554 IBAGUE 1,84E-02 MELGAR 7,15E-021,507233681 IBAGUE 4,60E-05 MELGAR 5,76E-033,76E-02 IBAGUE 3,86E-02 MELGAR 8,64E-030,192089624 IBAGUE 1,04E-02 MARIQUITA 0,1173980682,2332397 IBAGUE 2,12E-02 MELGAR 5,15E-020,13135614 IBAGUE 1,70E-02 MARIQUITA 5,80E-020,637030443 MELGAR 1,69E-02 RIOBLANCO 0,2258584540,013644781 LERIDA 0,180748159 MARIQUITA 0,7319644980,247617065 IBAGUE 1,44E-02 MARIQUITA 0,8741369850,329085729 IBAGUE 0,022007448 MELGAR 2,42E-023,95E-02 IBAGUE 2,58E-02 MELGAR 4,96E-04110,382027779 IBAGUE 2,62E-02 MELGAR 5,58E-0210,557348851 IBAGUE 7,12E-02 MARIQUITA 0,251296053110,190080643 IBAGUE 7,01E-03 MELGAR 1,20E-030,344203443 IBAGUE 4,88E-03 MARIQUITA 0,4031443040,456438882 IBAGUE 7,08E-02 MELGAR 0,1957341290,280233056 IBAGUE 8,03E-03 MELGAR 5,20E-034,29E-02 IBAGUE 5,28E-03 MELGAR 0,1134349720,894798191 IBAGUE 2,72E-02 MELGAR 1,99E-034,68E-02 IBAGUE 2,69E-02 MELGAR 1,83E-020,239687611 IBAGUE 3,10E-02 MELGAR 0,32751193517,45E-02 IBAGUE 1,56E-02 MELGAR 5,30E-040,242895555 IBAGUE 6,81E-03 MARIQUITA 0,6051436630,518624254 IBAGUE 4,22E-03 MELGAR 2,51E-030,395091655 IBAGUE 1,92E-02 MELGAR 2,63E-020,425554046 IBAGUE 1,79E-02 MELGAR 6,47E-026,42E-02 IBAGUE 2,33E-02 MELGAR 7,31E-035,46E-04 IBAGUE 1,86E-02 MELGAR 6,58E-030,232049624 IBAGUE 4,58E-03 MELGAR 2,13E-030,516164557 IBAGUE 0,010057211 MELGAR 1,93E-043,41E-022,32E-02


<strong>DEA</strong> model = <strong>DEA</strong>-<strong>Solver</strong> LV3.0/ CCR(CCR-O)Problem = MunicipioNo. of DMUs = 47No. of Input items = 3Input(1) = Insumo 1Input(2) = Insumo 2Input(3) = Insumo 3No. of Output items = 1Output(1) = ProductoReturns to Scale = Constant (0 =< Sum of Lambda < Infinity)Statistics on Input/Output DataInsumo 1 Insumo 2 Insumo 3 ProductoMax 2753 20269,12 192557 91299Min 51 335,09 2272,14 1107Average 220,0851064 2181,899787 11567,18809 6213,319149SD 389,2499514 3442,674364 27112,24586 12917,47847CorrelationInsumo 1 Insumo 2 Insumo 3 ProductoInsumo 1 1 0,551842583 0,991803088 0,998298753Insumo 2 0,551842583 1 0,517879783 0,555093073Insumo 3 0,991803088 0,517879783 1 0,995190463Producto 0,998298753 0,555093073 0,995190463 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 47Average 0,840053077SD 0,116107012Maximum 1Minimum 0,608161756Frequency in Reference SetReference Frequency to other DMUsHONDA 38IBAGUE 39LERIDA 2MARIQUITA 10MELGAR 29RIOBLANCO 1No. of DMUs in Data = 47No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 47Average of scores = 0,840053077No. of efficient DMUs = 6No. of inefficient DMUs = 41No. of over iteration DMUs = 0[CCR-O] LP started at 06-16-2008 12:40:28 and completed at 06-16-2008 12:40:29Elapsed time = 0 secondsTotal number of simplex iterations = 234


Municipio (I) Insumo 1 (I) Insumo 2 (I) Insumo 3 (O) ProductoALPUJARRA 55 1032,16 2280,82 1131,00ALVARADO 101 1069,58 5334,94 2118,00AMBALEMA 75 531,25 3615,00 1893,00ANZOATEGUI 96 657,46 4158,55 2519,00ATACO 169 1838,95 9625,54 5126,00CAJAMARCA 169 969,61 6406,98 4457,00CARMEN DE APICALA 66 1164,81 2679,00 1935,00CASABIANCA 55 531,20 2508,66 1505,00CHAPARRAL 475 2659,73 21064,77 12934,00COELLO 104 1972,16 5449,41 2301,00COYAIMA 306 2470,01 11194,75 7691,00CUNDAY 116 750,31 7783,30 2325,00DOLORES 99 608,55 4746,11 2283,00ESPINAL 522 4812,81 21004,66 14142,00FALAN 89 516,58 4903,12 2247,00FLANDES 185 1850,09 6398,93 5431,00FRESNO 265 1378,01 12021,16 7170,00GUAMO 324 1838,51 14411,79 8117,00GUAYABAL-ARMERO 133 1299,34 6870,00 3419,00HERVEO 79 416,22 5255,26 1944,00HONDA 202 1560,85 7389,85 6080,00IBAGUE 2753 13377,95 192557,00 91299,00ICONONZO 163 2077,70 8331,80 3206,00LERIDA 173 781,24 6551,10 4391,00LIBANO 376 2184,66 20651,12 9685,00MARIQUITA 268 1440,32 11215,93 7628,00MELGAR 245 20269,12 8268,92 8048,00MURILLO 58 414,88 2765,18 1107,00NATAGAIMA 191 1183,16 8004,48 4594,00ORTEGA 335 5626,62 18619,81 9355,00PALOCABILDO 80 650,23 3661,00 2137,00PIEDRAS 51 2436,86 2272,14 1323,00PLANADAS 256 1800,35 11858,12 7932,00PRADO 88 804,42 5676,88 2379,00PURIFICACION 214 7427,21 10448,67 5535,00RIOBLANCO 231 2270,15 6869,00 6316,00RONCESVALLES 58 335,09 3550,28 1714,00ROVIRA 230 1341,87 9894,13 6144,00SALDAÑA 117 916,81 4666,29 3175,00SAN ANTONIO 139 1406,55 6826,35 3886,00SAN LUIS 151 2213,81 7120,50 3443,00SANTA ISABEL 79 560,64 5027,90 1974,00SUAREZ 53 383,46 3645,00 1125,001000008000060000400002000000 500 1000 1500 2000 2500 30001000008000060000400002000000 5000 10000 15000 20000 250001000008000060000400002000000 50000 100000 150000 200000 250000250002000015000100005000


VALLE DE SAN JUAN 60 466,58 2614,03 1381,00VENADILLO 132 944,11 5752,56 3426,00VILLA HERMOSA 94 808,95 6916,00 2585,00VILLA RICA 64 498,36 4791,05 1470,00500000 500 1000 1500 2000 2500 30002500002000001500001000005000000 5000 10000 15000 20000 250002500002000001500001000005000000 500 1000 1500 2000 2500 3000


No. DMU j λj j λj j λj ∑λ1 ALPUJARRA 21 0,187120 22 0,003186 27 0,034411 0,224717 IRS2 ALVARADO 21 0,225735 22 0,018034 27 0,023483 0,267252 IRS3 AMBALEMA 21 0,240090 22 0,009497 27 0,001453 0,251040 IRS4 ANZOATEGUI 21 0,316208 22 0,006172 26 0,056475 0,378855 IRS5 ATACO 21 0,266172 22 0,037829 27 0,045262 0,349263 IRS6 CAJAMARCA 21 0,290745 24 0,517267 26 0,077546 0,885558 IRS7 CARMEN DE APICALA 21 0,238807 22 0,003159 27 0,036992 0,278959 IRS8 CASABIANCA 21 0,187893 22 0,005468 27 0,008129 0,201491 IRS9 CHAPARRAL 21 0,282308 22 0,019215 26 1,362218 1,663741 DRS10 COELLO 21 0,176681 22 0,018449 27 0,071517 0,266646 IRS11 COYAIMA 21 1,507234 22 0,000046 27 0,005764 1,513044 DRS12 CUNDAY 21 0,037639 22 0,038605 27 0,008639 0,084883 IRS13 DOLORES 21 0,192090 22 0,010438 26 0,117398 0,319925 IRS14 ESPINAL 21 2,233240 22 0,021165 27 0,051503 2,305907 DRS15 FALAN 21 0,131356 22 0,017043 26 0,058006 0,206405 IRS16 FLANDES 21 0,637030 27 0,016925 36 0,225858 0,879814 IRS17 FRESNO 22 0,013645 24 0,180748 26 0,731964 0,926357 IRS18 GUAMO 21 0,247617 22 0,014425 26 0,874137 1,136179 DRS19 GUAYABAL-ARMERO 21 0,329086 22 0,022007 27 0,024237 0,375331 IRS20 HERVEO 21 0,039465 22 0,025756 27 0,000496 0,065717 IRS21 HONDA 21 1,000000 1,000000 CRS22 IBAGUE 22 1,000000 1,000000 CRS23 ICONONZO 21 0,382028 22 0,026212 27 0,055787 0,464027 IRS24 LERIDA 24 1,000000 1,000000 CRS25 LIBANO 21 0,557349 22 0,071220 26 0,251296 0,879865 IRS26 MARIQUITA 26 1,000000 1,000000 CRS27 MELGAR 27 1,000000 1,000000 CRS28 MURILLO 21 0,190081 22 0,007014 0,001202 0,198296 IRS29 NATAGAIMA 21 0,344203 22 0,004878 0,403144 0,752225 IRS30 ORTEGA 21 0,456439 22 0,070775 0,195734 0,722948 IRS31 PALOCABILDO 21 0,280233 22 0,008035 0,005197 0,293465 IRS32 PIEDRAS 21 0,042907 22 0,005282 0,113435 0,161624 IRS33 PLANADAS 21 0,894798 22 0,027157 0,001993 0,923948 IRS34 PRADO 21 0,046849 22 0,026897 0,018327 0,092073 IRS35 PURIFICACION 21 0,239688 22 0,031000 0,327512 0,598199 IRS36 RIOBLANCO 36 1,000000 1,000000 CRS37 RONCESVALLES 21 0,074462 22 0,015557 0,000530 0,090550 IRS38 ROVIRA 21 0,242896 22 0,006813 0,605144 0,854852 IRS39 SALDAÑA 21 0,518624 22 0,004222 0,002508 0,525354 IRS40 SAN ANTONIO 21 0,395092 22 0,019158 0,026325 0,440574 IRS41 SAN LUIS 21 0,425554 22 0,017870 0,064656 0,508080 IRS42 SANTA ISABEL 21 0,064232 22 0,023332 0,007314 0,094878 IRS43 SUAREZ 21 0,000546 22 0,018626 0,006583 0,025755 IRS44 VALLE DE SAN JUAN 21 0,232050 22 0,004578 0,002128 0,238756 IRS45 VENADILLO 21 0,516165 22 0,010057 0,000193 0,526415 IRS46 VILLA HERMOSA 22 0,034145 0,034145 IRS47 VILLA RICA 22 0,023247 0,023247 IRS


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O)No. DMU Score RTS RTS of Projected DMURTS Efficient Projected1 ALPUJARRA 0,531496063 Decreasing No. of IRS 0 02 ALVARADO 0,522381721 Decreasing No. of CRS 1 03 AMBALEMA 0,598121602 Decreasing No. of DRS 4 374 ANZOATEGUI 0,580470163 Decreasing Total 5 375 ATACO 0,790561488 Decreasing6 CAJAMARCA 0,585066399 Decreasing7 CARMEN DE APICALA 1 Decreasing8 CASABIANCA 0,570634038 Decreasing9 CHAPARRAL 0,696924266 Decreasing10 COELLO 0,486938879 Decreasing11 COYAIMA 1 Decreasing12 CUNDAY 0,458785249 Decreasing13 DOLORES 0,421468035 Decreasing14 ESPINAL 1 Decreasing15 FALAN 0,506268081 Decreasing16 FLANDES 0,570356473 Decreasing17 FRESNO 0,670907549 Decreasing18 GUAYABAL-ARMERO 0,552701506 Decreasing19 HERVEO 0,43972999 Decreasing20 HONDA 0,779541446 Decreasing21 IBAGUE 1 Decreasing22 ICONONZO 0,617352614 Decreasing23 LIBANO 0,909415971 Decreasing24 MARIQUITA 0,553022795 Decreasing25 MURILLO 0,54665687 Decreasing26 NATAGAIMA 0,481025641 Decreasing27 ORTEGA 0,624072547 Decreasing28 PALOCABILDO0,828250401 Decreasing29 PIEDRAS 0,38156682 Decreasing30 PLANADAS 0,548336287 Decreasing31 PRADO 0,59905907 Decreasing32 PURIFICACION0,712522046 Decreasing33 RIOBLANCO 0,683572216 Decreasing34 RONCESVALLES0,485106383 Decreasing35 SALDAÑA 0,516972298 Decreasing36 SAN ANTONIO 0,806722689 Decreasing37 SAN LUIS 0,6447178 Decreasing38 SUAREZ 0,193853428 Decreasing39 VALLE DE SAN 0,460293374 JUANDecreasing40 VENADILLO 0,751842752 Decreasing41 VILLA HERMOSA0,375985081 Decreasing42 VILLA RICA 1 Constant


Total014142


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)Excess ShortageNo. DMU Score X2j Y1jS-(1) S+(1)1 ALPUJARRA 0,531496063 0 02 ALVARADO 0,522381721 0 03 AMBALEMA 0,598121602 0 04 ANZOATEGUI 0,580470163 0 05 ATACO 0,790561488 0 06 CAJAMARCA 0,585066399 0 07 CARMEN DE APICALA 1 0 08 CASABIANCA 0,570634038 0 09 CHAPARRAL 0,696924266 0 010 COELLO 0,486938879 0 011 COYAIMA 1 0 012 CUNDAY 0,458785249 0 013 DOLORES 0,421468035 0 014 ESPINAL 1 0 015 FALAN 0,506268081 0 016 FLANDES 0,570356473 0 017 FRESNO 0,670907549 0 018 GUAYABAL-ARMERO 0,552701506 0 019 HERVEO 0,43972999 0 020 HONDA 0,779541446 0 021 IBAGUE 1 0 022 ICONONZO 0,617352614 0 023 LIBANO 0,909415971 0 024 MARIQUITA 0,553022795 0 025 MURILLO 0,54665687 0 026 NATAGAIMA 0,481025641 0 027 ORTEGA 0,624072547 0 028 PALOCABILDO0,828250401 0 029 PIEDRAS 0,38156682 0 030 PLANADAS 0,548336287 0 031 PRADO 0,59905907 0 032 PURIFICACION0,712522046 0 033 RIOBLANCO 0,683572216 0 034 RONCESVALLES0,485106383 0 035 SALDAÑA 0,516972298 0 036 SAN ANTONIO 0,806722689 0 037 SAN LUIS 0,6447178 0 038 SUAREZ 0,193853428 0 039 VALLE DE SAN 0,460293374 JUAN0 040 VENADILLO 0,751842752 0 041 VILLA HERMOSA0,375985081 0 042 VILLA RICA 1 0 0


<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo d<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU Score VX(0) VX(1) X2j UY(1) Y1j1 ALPUJARRA 0,531496063 0,859259259 1,022222222 12 ALVARADO 0,522381721 0,377235772 1,537073171 13 AMBALEMA 0,598121602 0,639118457 1,032782369 14 ANZOATEGUI 0,580470163 0,361370717 1,361370717 15 ATACO 0,790561488 0,272331155 0,992592593 16 CAJAMARCA 0,585066399 0,267665953 1,441541756 17 CARMEN DE APICALA 1 0,233766234 0,766233766 18 CASABIANCA 0,570634038 0,452241715 1,300194932 19 CHAPARRAL 0,696924266 0,555837385 0,879038755 110 COELLO 0,486938879 0,604166667 1,449479167 111 COYAIMA 1 0,15497662 0,84502338 112 CUNDAY 0,458785249 0,548463357 1,631205674 113 DOLORES 0,421468035 0,434456929 1,938202247 114 ESPINAL 1 9,76E-02 0,902419984 115 FALAN 0,506268081 0,441904762 1,533333333 116 FLANDES 0,570356473 0,411184211 1,342105263 117 FRESNO 0,670907549 0,158027813 1,332490518 118 GUAYABAL-ARMERO 0,552701506 0,371794872 1,4375 119 HERVEO 0,43972999 0,50877193 1,765350877 120 HONDA 0,779541446 0,28280543 1 121 IBAGUE 1 7,97E-02 0,920258334 122 ICONONZO 0,617352614 0,418018018 1,201801802 123 LIBANO 0,909415971 0,163826999 0,935779817 124 MARIQUITA 0,553022795 0,224014337 1,584229391 125 MURILLO 0,54665687 0,623655914 1,205645161 126 NATAGAIMA 0,481025641 0,26652452 1,812366738 127 ORTEGA 0,624072547 0,165125495 1,437252312 128 PALOCABILDO0,828250401 0,449612403 0,757751938 129 PIEDRAS 0,38156682 1,120772947 1,5 130 PLANADAS 0,548336287 0,224416517 1,599281867 131 PRADO 0,59905907 0,404886562 1,264397906 132 PURIFICACION0,712522046 0,309405941 1,094059406 133 RIOBLANCO 0,683572216 0,201612903 1,261290323 134 RONCESVALLES0,485106383 0,407017544 1,654385965 135 SALDAÑA 0,516972298 0,471698113 1,462641509 136 SAN ANTONIO 0,806722689 0,201388889 1,038194444 137 SAN LUIS 0,6447178 0,260381594 1,290684624 138 SUAREZ 0,193853428 1,886178862 3,272357724 139 VALLE DE SAN 0,460293374 JUAN0,84981685 1,322710623 140 VENADILLO 0,751842752 0,252723312 1,077342048 141 VILLA HERMOSA0,375985081 0,5 2,15968 142 VILLA RICA 1 0 1 1


nte de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Salud Cobertura PAI-<strong>BCC</strong>-O (Sin Insumo 1).xlsx


a PAI-<strong>BCC</strong>-O (Sin Insumo 1).xlsx


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU Score V(0) V(1) X2j U(1) Y1j1 ALPUJARRA 0,531496063 0,859259259 8,52E-03 1,11E-022 ALVARADO 0,522381721 0,377235772 3,74E-03 4,88E-033 AMBALEMA 0,598121602 0,639118457 6,34E-03 8,26E-034 ANZOATEGUI 0,580470163 0,361370717 3,58E-03 4,67E-035 ATACO 0,790561488 0,272331155 1,48E-03 2,18E-036 CAJAMARCA 0,585066399 0,267665953 1,46E-03 2,14E-037 CARMEN DE APICALA 1 0,233766234 7,66E-03 6,49E-038 CASABIANCA 0,570634038 0,452241715 4,48E-03 5,85E-039 CHAPARRAL 0,696924266 0,555837385 3,91E-04 9,52E-0410 COELLO 0,486938879 0,604166667 5,99E-03 0,007812511 COYAIMA 1 0,15497662 1,54E-03 2,00E-0312 CUNDAY 0,458785249 0,548463357 5,44E-03 7,09E-0313 DOLORES 0,421468035 0,434456929 4,31E-03 5,62E-0314 ESPINAL 1 9,76E-02 5,31E-04 7,81E-0415 FALAN 0,506268081 0,441904762 4,38E-03 5,71E-0316 FLANDES 0,570356473 0,411184211 2,24E-03 3,29E-0317 FRESNO 0,670907549 0,158027813 8,60E-04 1,26E-0318 GUAYABAL-ARMERO 0,552701506 0,371794872 3,69E-03 4,81E-0319 HERVEO 0,43972999 0,50877193 5,04E-03 6,58E-0320 HONDA 0,779541446 0,28280543 1,54E-03 2,26E-0321 IBAGUE 1 7,97E-02 5,60E-05 1,37E-0422 ICONONZO 0,617352614 0,418018018 4,14E-03 5,41E-0323 LIBANO 0,909415971 0,163826999 8,91E-04 1,31E-0324 MARIQUITA 0,553022795 0,224014337 1,22E-03 1,79E-0325 MURILLO 0,54665687 0,623655914 6,18E-03 8,06E-0326 NATAGAIMA 0,481025641 0,26652452 1,45E-03 2,13E-0327 ORTEGA 0,624072547 0,165125495 8,98E-04 1,32E-0328 PALOCABILDO0,828250401 0,449612403 4,46E-03 5,81E-0329 PIEDRAS 0,38156682 1,120772947 1,11E-02 1,45E-0230 PLANADAS 0,548336287 0,224416517 1,22E-03 1,80E-0331 PRADO 0,59905907 0,404886562 4,01E-03 5,24E-0332 PURIFICACION0,712522046 0,309405941 1,68E-03 2,48E-0333 RIOBLANCO 0,683572216 0,201612903 1,10E-03 1,61E-0334 RONCESVALLES0,485106383 0,407017544 4,04E-03 5,26E-0335 SALDAÑA 0,516972298 0,471698113 2,57E-03 3,77E-0336 SAN ANTONIO 0,806722689 0,201388889 2,00E-03 2,60E-0337 SAN LUIS 0,6447178 0,260381594 2,58E-03 3,37E-0338 SUAREZ 0,193853428 1,886178862 1,87E-02 0,02439024439 VALLE DE SAN 0,460293374 JUAN0,84981685 8,42E-03 0,01098901140 VENADILLO 0,751842752 0,252723312 2,51E-03 3,27E-0341 VILLA HERMOSA0,375985081 0,5 0,00272 0,00442 VILLA RICA 1 0 0,02 1,05E-02


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU 1/ScoreI/O Data Projection Difference %1 ALPUJARRA 1,881481481X2j 120 120 0 0,00%Y1j 90 169,3333333 79,33333333 88,15%2 ALVARADO 1,914308943X2j 411 411 0 0,00%Y1j 205 392,4333333 187,4333333 91,43%3 AMBALEMA 1,671900826X2j 163 163 0 0,00%Y1j 121 202,3 81,3 67,19%4 ANZOATEGUI 1,722741433X2j 380 380 0 0,00%Y1j 214 368,6666667 154,6666667 72,27%5 ATACO 1,264923747X2j 670 670 0 0,00%Y1j 459 580,6 121,6 26,49%6 CAJAMARCA 1,709207709X2j 990 990 0 0,00%Y1j 467 798,2 331,2 70,92%7 CARMEN DE APICALA 1X2j 100 100 0 0,00%Y1j 154 154 0 0,00%8 CASABIANCA 1,752436647X2j 290 290 0 0,00%Y1j 171 299,6666667 128,6666667 75,24%9 CHAPARRAL 1,43487614X2j 2250 2250 0 0,00%Y1j 1050 1506,619947 456,619947 43,49%10 COELLO 2,053645833X2j 242 242 0 0,00%Y1j 128 262,8666667 134,8666667 105,36%11 COYAIMA 1X2j 550 550 0 0,00%Y1j 499 499 0 0,00%12 CUNDAY 2,179669031X2j 300 300 0 0,00%Y1j 141 307,3333333 166,3333333 117,97%13 DOLORES 2,372659176X2j 450 450 0 0,00%Y1j 178 422,3333333 244,3333333 137,27%14 ESPINAL 1X2j 1700 1700 0 0,00%Y1j 1281 1281 0 0,00%15 FALAN 1,975238095X2j 350 350 0 0,00%Y1j 175 345,6666667 170,6666667 97,52%16 FLANDES 1,753289474X2j 600 600 0 0,00%Y1j 304 533 229 75,33%17 FRESNO 1,490518331X2j 1550 1550 0 0,00%Y1j 791 1179 388 49,05%18 GUAYABAL-ARMERO 1,809294872X2j 390 390 0 0,00%Y1j 208 376,3333333 168,3333333 80,93%19 HERVEO 2,274122807


X2j 350 350 0 0,00%Y1j 152 345,6666667 193,6666667 127,41%20 HONDA 1,28280543X2j 650 650 0 0,00%Y1j 442 567 125 28,28%21 IBAGUE 1X2j 16419 16419 0 0,00%Y1j 7319 7319 0 0,00%22 ICONONZO 1,61981982X2j 290 290 0 0,00%Y1j 185 299,6666667 114,6666667 61,98%23 LIBANO 1,099606815X2j 1050 1050 0 0,00%Y1j 763 839 76 9,96%24 MARIQUITA 1,808243728X2j 1300 1300 0 0,00%Y1j 558 1009 451 80,82%25 MURILLO 1,829301075X2j 195 195 0 0,00%Y1j 124 226,8333333 102,8333333 82,93%26 NATAGAIMA 2,078891258X2j 1250 1250 0 0,00%Y1j 469 975 506 107,89%27 ORTEGA 1,602377807X2j 1600 1600 0 0,00%Y1j 757 1213 456 60,24%28 PALOCABILDO1,207364341X2j 170 170 0 0,00%Y1j 172 207,6666667 35,66666667 20,74%29 PIEDRAS 2,620772947X2j 135 135 0 0,00%Y1j 69 180,8333333 111,8333333 162,08%30 PLANADAS 1,823698384X2j 1310 1310 0 0,00%Y1j 557 1015,8 458,8 82,37%31 PRADO 1,669284468X2j 315 315 0 0,00%Y1j 191 318,8333333 127,8333333 66,93%32 PURIFICACION1,403465347X2j 650 650 0 0,00%Y1j 404 567 163 40,35%33 RIOBLANCO 1,462903226X2j 1150 1150 0 0,00%Y1j 620 907 287 46,29%34 RONCESVALLES2,061403509X2j 410 410 0 0,00%Y1j 190 391,6666667 201,6666667 106,14%35 SALDAÑA 1,934339623X2j 570 570 0 0,00%Y1j 265 512,6 247,6 93,43%36 SAN ANTONIO 1,239583333X2j 520 520 0 0,00%Y1j 384 476 92 23,96%37 SAN LUIS 1,551066218X2j 500 500 0 0,00%Y1j 297 460,6666667 163,6666667 55,11%38 SUAREZ 5,158536585X2j 175 175 0 0,00%Y1j 41 211,5 170,5 415,85%


39 VALLE DE SAN 2,172527473JUANX2j 157 157 0 0,00%Y1j 91 197,7 106,7 117,25%40 VENADILLO 1,330065359X2j 430 430 0 0,00%Y1j 306 407 101 33,01%41 VILLA HERMOSA2,65968X2j 794 794 0 0,00%Y1j 250 664,92 414,92 165,97%42 VILLA RICA 1X2j 50 50 0 0,00%Y1j 95 95 0 0,00%


MunicipioDMUVILLA HERMOSADOLORESCUNDAYNATAGAIMACOELLOSALDAÑAALPUJARRAPLANADASMARIQUITACASABIANCACAJAMARCAPRADOORTEGAFRESNOCHAPARRALVENADILLOATACOPALOCABILDOCARMEN DE APICALAESPINALVILLA RICA0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


MunicipioDMUVILLA HERMOSAVALLE DE SAN JUANSAN LUISSALDAÑARIOBLANCOPRADOPIEDRASORTEGAMURILLOLIBANOIBAGUEHERVEOFRESNOFALANDOLORESCOYAIMACHAPARRALCARMEN DE APICALAATACOAMBALEMAALPUJARRA0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O)Rank DMU Score1 VILLA RICA 11 IBAGUE 11 ESPINAL 11 COYAIMA 11 CARMEN DE APICALA 16 LIBANO 0,9094159717 PALOCABILDO 0,8282504018 SAN ANTONIO 0,8067226899 ATACO 0,79056148810 HONDA 0,77954144611 VENADILLO 0,75184275212 PURIFICACION 0,71252204613 CHAPARRAL 0,69692426614 RIOBLANCO 0,68357221615 FRESNO 0,67090754916 SAN LUIS 0,644717817 ORTEGA 0,62407254718 ICONONZO 0,61735261419 PRADO 0,5990590720 AMBALEMA 0,59812160221 CAJAMARCA 0,58506639922 ANZOATEGUI 0,58047016323 CASABIANCA 0,57063403824 FLANDES 0,57035647325 MARIQUITA 0,55302279526 GUAYABAL-ARMERO 0,55270150627 PLANADAS 0,54833628728 MURILLO 0,5466568729 ALPUJARRA 0,53149606330 ALVARADO 0,52238172131 SALDAÑA 0,51697229832 FALAN 0,50626808133 COELLO 0,48693887934 RONCESVALLES 0,48510638335 NATAGAIMA 0,48102564136 VALLE DE SAN JUAN 0,46029337437 CUNDAY 0,45878524938 HERVEO 0,4397299939 DOLORES 0,42146803540 PIEDRAS 0,3815668241 VILLA HERMOSA 0,37598508142 SUAREZ 0,193853428


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU Score Rank 1/Score Reference set (lambda)1 ALPUJARRA 0,531496063 29 1,881481481 CARMEN DE APICALA 0,9555555562 ALVARADO 0,522381721 30 1,914308943 CARMEN DE APICALA 0,3088888893 AMBALEMA 0,598121602 20 1,671900826 CARMEN DE APICALA 0,864 ANZOATEGUI 0,580470163 22 1,722741433 CARMEN DE APICALA 0,3777777785 ATACO 0,790561488 9 1,264923747 COYAIMA 0,8956521746 CAJAMARCA 0,585066399 21 1,709207709 COYAIMA 0,6173913047 CARMEN DE APICALA 1 1 1 CARMEN DE APICALA 18 CASABIANCA 0,570634038 23 1,752436647 CARMEN DE APICALA 0,5777777789 CHAPARRAL 0,696924266 13 1,43487614 ESPINAL 0,96263333110 COELLO 0,486938879 33 2,053645833 CARMEN DE APICALA 0,68444444411 COYAIMA 1 1 1 COYAIMA 112 CUNDAY 0,458785249 37 2,179669031 CARMEN DE APICALA 0,55555555613 DOLORES 0,421468035 39 2,372659176 CARMEN DE APICALA 0,22222222214 ESPINAL 1 1 1 ESPINAL 115 FALAN 0,506268081 32 1,975238095 CARMEN DE APICALA 0,44444444416 FLANDES 0,570356473 24 1,753289474 COYAIMA 0,95652173917 FRESNO 0,670907549 15 1,490518331 COYAIMA 0,13043478318 GUAYABAL-ARMERO 0,552701506 26 1,809294872 CARMEN DE APICALA 0,35555555619 HERVEO 0,43972999 38 2,274122807 CARMEN DE APICALA 0,44444444420 HONDA 0,779541446 10 1,28280543 COYAIMA 0,91304347821 IBAGUE 1 1 1 IBAGUE 122 ICONONZO 0,617352614 18 1,61981982 CARMEN DE APICALA 0,57777777823 LIBANO 0,909415971 6 1,099606815 COYAIMA 0,56521739124 MARIQUITA 0,553022795 25 1,808243728 COYAIMA 0,34782608725 MURILLO 0,54665687 28 1,829301075 CARMEN DE APICALA 0,78888888926 NATAGAIMA 0,481025641 35 2,078891258 COYAIMA 0,39130434827 ORTEGA 0,624072547 17 1,602377807 COYAIMA 0,08695652228 PALOCABILDO0,828250401 7 1,207364341 CARMEN DE APICALA 0,84444444429 PIEDRAS 0,38156682 40 2,620772947 CARMEN DE APICALA 0,92222222230 PLANADAS 0,548336287 27 1,823698384 COYAIMA 0,33913043531 PRADO 0,59905907 19 1,669284468 CARMEN DE APICALA 0,52222222232 PURIFICACION0,712522046 12 1,403465347 COYAIMA 0,91304347833 RIOBLANCO 0,683572216 14 1,462903226 COYAIMA 0,4782608734 RONCESVALLES0,485106383 34 2,061403509 CARMEN DE APICALA 0,31111111135 SALDAÑA 0,516972298 31 1,934339623 COYAIMA 0,98260869636 SAN ANTONIO 0,806722689 8 1,239583333 CARMEN DE APICALA 6,67E-0237 SAN LUIS 0,6447178 16 1,551066218 CARMEN DE APICALA 0,11111111138 SUAREZ 0,193853428 42 5,158536585 CARMEN DE APICALA 0,83333333339 VALLE DE SAN 0,460293374 JUAN36 2,172527473 CARMEN DE APICALA 0,87333333340 VENADILLO 0,751842752 11 1,330065359 CARMEN DE APICALA 0,26666666741 VILLA HERMOSA0,375985081 41 2,65968 COYAIMA 0,78782608742 VILLA RICA 1 1 1 VILLA RICA 1


COYAIMA 4,44E-02COYAIMA 0,691111111COYAIMA 0,14COYAIMA 0,622222222ESPINAL 0,104347826ESPINAL 0,382608696COYAIMA 0,422222222IBAGUE 3,74E-02COYAIMA 0,315555556COYAIMA 0,444444444COYAIMA 0,777777778COYAIMA 0,555555556ESPINAL 4,35E-02ESPINAL 0,869565217COYAIMA 0,644444444COYAIMA 0,555555556ESPINAL 8,70E-02COYAIMA 0,422222222ESPINAL 0,434782609ESPINAL 0,652173913COYAIMA 0,211111111ESPINAL 0,608695652ESPINAL 0,913043478COYAIMA 0,155555556COYAIMA 7,78E-02ESPINAL 0,660869565COYAIMA 0,477777778ESPINAL 8,70E-02ESPINAL 0,52173913COYAIMA 0,688888889ESPINAL 1,74E-02COYAIMA 0,933333333COYAIMA 0,888888889COYAIMA 0,166666667COYAIMA 0,126666667COYAIMA 0,733333333ESPINAL 0,212173913


<strong>DEA</strong> model = <strong>DEA</strong>-<strong>Solver</strong> LV3.0/ <strong>BCC</strong>(<strong>BCC</strong>-O)Problem = MunicipioNo. of DMUs = 42No. of Input items = 1Input(1) = X2jNo. of Output items = 1Output(1) = Y1jReturns to Scale = Variable (Sum of Lambda = 1)Statistics on Input/Output DataX2jY1jMax 16419 7319Min 50 41Average 998,7142857 508,0238095SD 2460,585154 1097,325309CorrelationX2jY1jX2j 1 0,99548521Y1j 0,99548521 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 42Average 0,630540477SD 0,19015429Maximum 1Minimum 0,193853428Frequency in Reference SetReferenceFrequency to other DMUsCARMEN DE APICALA 22COYAIMA 36ESPINAL 15IBAGUE 1VILLA RICA 0No. of DMUs in Data = 42No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 42Average of scores = 0,630540477No. of efficient DMUs = 5No. of inefficient DMUs = 37No. of over iteration DMUs = 0[<strong>BCC</strong>-O] LP started at 07-10-2008 10:41:14 and completed at 07-10-2008 10:41:14Elapsed time = 1 secondsTotal number of simplex iterations = 207


Municipio (I) X2j (O) Y1jALPUJARRA 120 90ALVARADO 411 205AMBALEMA 163 121ANZOATEGUI 380 214ATACO 670 459CAJAMARCA 990 467CARMEN DE APICALA 100 154CASABIANCA 290 171CHAPARRAL 2250 1050COELLO 242 128COYAIMA 550 499CUNDAY 300 141DOLORES 450 178ESPINAL 1700 1281FALAN 350 175FLANDES 600 304FRESNO 1550 791GUAYABAL-ARMERO 390 208HERVEO 350 152HONDA 650 442IBAGUE 16419 7319ICONONZO 290 185LIBANO 1050 763MARIQUITA 1300 558MURILLO 195 124NATAGAIMA 1250 469ORTEGA 1600 757PALOCABILDO 170 172PIEDRAS 135 69PLANADAS 1310 557PRADO 315 191PURIFICACION 650 404RIOBLANCO 1150 620RONCESVALLES 410 190SALDAÑA 570 265SAN ANTONIO 520 384SAN LUIS 500 297SUAREZ 175 41VALLE DE SAN JUAN 157 91VENADILLO 430 306VILLA HERMOSA 794 250VILLA RICA 50 951200001000008000060000400002000001200001000008000060000400002000045403530252015105000 5000 10000 15000 20000 250000 10 20 30 40 500 5000 10000 15000 20000 25000


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O)No. DMU Score RTS RTS of Projected DMU RTS Efficient Projected Total1 ALPUJARRA 0,531496063 Decreasing No. of IRS 1 1 22 ALVARADO 0,522381721 Decreasing No. of CRS 2 0 23 AMBALEMA 0,598121602 Decreasing No. of DRS 6 32 384 ANZOATEGUI 0,686158373 Decreasing Total 9 33 425 ATACO 0,847900849 Decreasing6 CAJAMARCA 0,690219908 Decreasing7 CARMEN DE APICALA 1 Decreasing8 CASABIANCA 0,570634038 Decreasing9 CHAPARRAL 0,997369664 Decreasing10 COELLO 0,947094435 Increasing11 COYAIMA 1 Decreasing12 CUNDAY 0,519293966 Decreasing13 DOLORES 0,920583731 Decreasing14 ESPINAL 1 Decreasing15 FALAN 0,508552975 Decreasing16 FLANDES 0,570356473 Decreasing17 FRESNO 0,91478089 Decreasing18 GUAYABAL-ARMERO 0,552701506 Decreasing19 HERVEO 0,564060183 Decreasing20 HONDA 1 Decreasing21 IBAGUE 1 Decreasing22 ICONONZO 0,783847043 Decreasing23 LIBANO 0,92070473 Decreasing24 MARIQUITA 0,941248847 Decreasing25 MURILLO 0,54665687 Decreasing26 NATAGAIMA 0,581690408 Decreasing27 ORTEGA 1 Decreasing28 PALOCABILDO0,828250401 Decreasing29 PIEDRAS 0,382114636 Decreasing30 PLANADAS 0,548336287 Decreasing31 PRADO 1 Constant32 PURIFICACION0,745729382 Decreasing33 RIOBLANCO 0,94427865 Decreasing34 RONCESVALLES 0,485106383 Decreasing35 SALDAÑA 0,541140848 Decreasing36 SAN ANTONIO0,806722689 Decreasing37 SAN LUIS 0,6447178 Decreasing38 SUAREZ 1 Increasing39 VALLE DE SAN 0,460293374 JUANDecreasing40 VENADILLO 0,787772059 Decreasing41 VILLA HERMOSA 0,376935142 Decreasing42 VILLA RICA 1 Constant


Excess Excess ShortageNo. DMU Score X1j X2j Y1jS-(1) S-(2) S+(1)1 ALPUJARRA 0,531496063 1,3296 0 02 ALVARADO 0,522381721 0,95608 0 03 AMBALEMA 0,598121602 1,22664 0 04 ANZOATEGUI 0,686158373 0 0 05 ATACO 0,847900849 0 0 06 CAJAMARCA 0,690219908 0 0 07 CARMEN DE APICALA 1 0 0 08 CASABIANCA 0,570634038 16,4912 0 09 CHAPARRAL 0,997369664 0 0 010 COELLO 0,947094435 0 0 011 COYAIMA 1 0 0 012 CUNDAY 0,519293966 0 0 013 DOLORES 0,920583731 0 131,8561001 014 ESPINAL 1 0 0 015 FALAN 0,508552975 0 0 016 FLANDES 0,570356473 2,920826087 0 017 FRESNO 0,91478089 0 0 018 GUAYABAL-ARMERO 0,552701506 3,0552 0 019 HERVEO 0,564060183 0 0 020 HONDA 1 0 0 021 IBAGUE 1 0 0 022 ICONONZO 0,783847043 0 0 023 LIBANO 0,92070473 0 0 024 MARIQUITA 0,941248847 0 195,1176471 025 MURILLO 0,54665687 2,4716 0 026 NATAGAIMA 0,581690408 0 0 027 ORTEGA 1 0 0 028 PALOCABILDO0,828250401 5,0936 0 029 PIEDRAS 0,382114636 0 0 030 PLANADAS 0,548336287 0,250556522 0 031 PRADO 1 0 0 032 PURIFICACION0,745729382 0 0 033 RIOBLANCO 0,94427865 0 0 034 RONCESVALLES0,485106383 0,4608 0 035 SALDAÑA 0,541140848 0 0 036 SAN ANTONIO 0,806722689 12,5456 0 037 SAN LUIS 0,6447178 2,636 0 038 SUAREZ 1 0 0 039 VALLE DE SAN 0,460293374 JUAN1,65496 0 040 VENADILLO 0,787772059 0 0 041 VILLA HERMOSA0,376935142 0 0 042 VILLA RICA 1 0 0 0


No. DMU Score VX(0) VX(1) X1j VX(2) X2j UY(1) Y1j1 ALPUJARRA 0,531496063 0,859259259 0 1,022222222 12 ALVARADO 0,522381721 0,377235772 0 1,537073171 13 AMBALEMA 0,598121602 0,639118457 0 1,032782369 14 ANZOATEGUI 0,686158373 0,100888001 0,559034769 0,797466719 15 ATACO 0,847900849 0,622017979 0,20406922 0,353295981 16 CAJAMARCA 0,690219908 0,611362425 0,324359603 0,513091587 17 CARMEN DE APICALA 1 0,233766234 0 0,766233766 18 CASABIANCA 0,570634038 0,452241715 0 1,300194932 19 CHAPARRAL 0,997369664 0,271910717 0,21208203 0,518644527 110 COELLO 0,947094435 -0,588517294 0,805079559 0,839298654 111 COYAIMA 1 4,33E-02 0,461733757 0,494999646 112 CUNDAY 0,519293966 0,153120795 0,81703952 0,955531231 113 DOLORES 0,920583731 0,351067943 0,735199353 0 114 ESPINAL 1 9,76E-02 0 0,902419984 115 FALAN 0,508552975 0,259940265 0,288529727 1,417893491 116 FLANDES 0,570356473 0,411184211 0 1,342105263 117 FRESNO 0,91478089 0,360943429 0,257937813 0,474276706 118 GUAYABAL-ARMERO 0,552701506 0,371794872 0 1,4375 119 HERVEO 0,564060183 0,142039685 0,59670968 1,034111102 120 HONDA 1 1,13E-02 0,399266865 0,58947522 121 IBAGUE 1 0,037872385 0,266042265 0,69608535 122 ICONONZO 0,783847043 0,116702877 0,455062136 0,703994091 123 LIBANO 0,92070473 0,363287009 0,29583318 0,427004349 124 MARIQUITA 0,941248847 0,15011596 0,91230234 0 125 MURILLO 0,54665687 0,623655914 0 1,205645161 126 NATAGAIMA 0,581690408 0,591019164 0,301109902 0,826998473 127 ORTEGA 1 0,110653508 0,889346492 0 128 PALOCABILDO0,828250401 0,449612403 0 0,757751938 129 PIEDRAS 0,382114636 0,659268788 0,570677186 1,38706972 130 PLANADAS 0,548336287 0,224416517 0 1,599281867 131 PRADO 1 0 1 0 132 PURIFICACION0,745729382 0,706698645 0,244859058 0,389411319 133 RIOBLANCO 0,94427865 0,460493956 0,149581239 0,448934241 134 RONCESVALLES0,485106383 0,407017544 0 1,654385965 135 SALDAÑA 0,541140848 0,701589081 0,635818126 0,51054052 136 SAN ANTONIO 0,806722689 0,201388889 0 1,038194444 137 SAN LUIS 0,6447178 0,260381594 0 1,290684624 138 SUAREZ 1 -0,60932085 1,609326944 0 139 VALLE DE SAN 0,460293374 JUAN0,84981685 0 1,322710623 140 VENADILLO 0,787772059 7,06E-02 0,567759284 0,631087783 141 VILLA HERMOSA0,376935142 1,108751952 0,558743863 0,985480491 142 VILLA RICA 1 0 0,787624898 0,212375102 1


No. DMU Score V(0) V(1) X1j V(2) X2j1 ALPUJARRA 0,531496063 0,859259259 0 8,52E-032 ALVARADO 0,522381721 0,377235772 0 3,74E-033 AMBALEMA 0,598121602 0,639118457 0 6,34E-034 ANZOATEGUI 0,686158373 0,100888001 0,207049914 2,10E-035 ATACO 0,847900849 0,622017979 3,37E-02 5,27E-046 CAJAMARCA 0,690219908 0,611362425 3,31E-02 5,18E-047 CARMEN DE APICALA 1 0,233766234 0 7,66E-038 CASABIANCA 0,570634038 0,452241715 0 4,48E-039 CHAPARRAL 0,997369664 0,271910717 1,47E-02 2,31E-0410 COELLO 0,947094435 -0,588523179 1,006349449 3,47E-0311 COYAIMA 1 4,33E-02 8,88E-02 9,00E-0412 CUNDAY 0,519293966 0,153120795 0,314245969 3,19E-0313 DOLORES 0,920583731 0,351067943 0,735199353 014 ESPINAL 1 9,76E-02 0 5,31E-0415 FALAN 0,508552975 0,259940265 6,99E-02 4,05E-0316 FLANDES 0,570356473 0,411184211 0 2,24E-0317 FRESNO 0,91478089 0,360943429 1,95E-02 3,06E-0418 GUAYABAL-ARMERO 0,552701506 0,371794872 0 3,69E-0319 HERVEO 0,564060183 0,142039685 0,291504485 2,95E-0320 HONDA 1 0,011257915 0,137678229 9,07E-0421 IBAGUE 1 3,79E-02 1,34E-03 4,24E-0522 ICONONZO 0,783847043 0,116702877 0,239506387 2,43E-0323 LIBANO 0,92070473 0,363287009 0,012892582 4,07E-0424 MARIQUITA 0,941248847 0,15011596 0,221378874 025 MURILLO 0,54665687 0,623655914 0 6,18E-0326 NATAGAIMA 0,581690408 0,591019164 2,10E-02 6,62E-0427 ORTEGA 1 0,110653508 0,163182842 028 PALOCABILDO0,828250401 0,449612403 0 4,46E-0329 PIEDRAS 0,382114636 0,659268788 0,17722894 1,03E-0230 PLANADAS 0,548336287 0,224416517 0 1,22E-0331 PRADO 1 0 1,018329939 032 PURIFICACION0,745729382 0,706698645 3,83E-02 5,99E-0433 RIOBLANCO 0,94427865 0,460493956 2,49E-02 3,90E-0434 RONCESVALLES0,485106383 0,407017544 0 4,04E-0335 SALDAÑA 0,541140848 0,701589081 0,132462109 8,96E-0436 SAN ANTONIO 0,806722689 0,201388889 0 2,00E-0337 SAN LUIS 0,6447178 0,260381594 0 2,58E-0338 SUAREZ 1 -0,609326944 5,364423146 039 VALLE DE SAN 0,460293374 JUAN0,84981685 0 8,42E-0340 VENADILLO 0,787772059 7,06E-02 0,144799613 1,47E-0341 VILLA HERMOSA0,376935142 1,108751952 3,93E-02 1,24E-0342 VILLA RICA 1 0 0,684891216 4,25E-03


U(1) Y1j1,11E-024,88E-038,26E-034,67E-032,18E-032,14E-036,49E-035,85E-039,52E-040,00781252,00E-037,09E-035,62E-037,81E-045,71E-033,29E-031,26E-034,81E-036,58E-032,26E-031,37E-045,41E-031,31E-031,79E-038,06E-032,13E-031,32E-035,81E-031,45E-021,80E-035,24E-032,48E-031,61E-035,26E-033,77E-032,60E-033,37E-030,0243902440,0109890113,27E-030,0041,05E-02


No. DMU 1/ScoreI/O Data Projection Difference %1 ALPUJARRA 1,881481481X1j 4,5 3,1704 -1,3296 -29,55%X2j 120 120 0 0,00%Y1j 90 169,3333333 79,33333333 88,15%2 ALVARADO 1,914308943X1j 5,5 4,54392 -0,95608 -17,38%X2j 411 411 0 0,00%Y1j 205 392,4333333 187,4333333 91,43%3 AMBALEMA 1,671900826X1j 4,6 3,37336 -1,22664 -26,67%X2j 163 163 0 0,00%Y1j 121 202,3 81,3 67,19%4 ANZOATEGUI 1,457389488X1j 2,7 2,7 0 0,00%X2j 380 380 0 0,00%Y1j 214 311,8813505 97,88135048 45,74%5 ATACO 1,17938318X1j 6,06 6,06 0 0,00%X2j 670 670 0 0,00%Y1j 459 541,3368796 82,33687958 17,94%6 CAJAMARCA 1,448813615X1j 9,8 9,8 0 0,00%X2j 990 990 0 0,00%Y1j 467 676,5959583 209,5959583 44,88%7 CARMEN DE APICALA 1X1j 3,076 3,076 0 0,00%X2j 100 100 0 0,00%Y1j 154 154 0 0,00%8 CASABIANCA 1,752436647X1j 20,464 3,9728 -16,4912 -80,59%X2j 290 290 0 0,00%Y1j 171 299,6666667 128,6666667 75,24%9 CHAPARRAL 1,002637273X1j 14,407068 14,407068 0 0,00%X2j 2250 2250 0 0,00%Y1j 1050 1052,769137 2,769136918 0,26%10 COELLO 1,055860919X1j 0,8 0,8 0 0,00%X2j 242 242 0 0,00%Y1j 128 135,1501976 7,150197618 5,59%11 COYAIMA 1X1j 5,2 5,2 0 0,00%X2j 550 550 0 0,00%Y1j 499 499 0 0,00%12 CUNDAY 1,925691546X1j 2,6 2,6 0 0,00%X2j 300 300 0 0,00%Y1j 141 271,522508 130,522508 92,57%13 DOLORES 1,086267296X1j 1 1 0 0,00%X2j 450 318,1438999 -131,8561001 -29,30%Y1j 178 193,3555787 15,35557873 8,63%14 ESPINAL 1X1j 48,421 48,421 0 0,00%X2j 1700 1700 0 0,00%Y1j 1281 1281 0 0,00%15 FALAN 1,966363483


X1j 4,129 4,129 0 0,00%X2j 350 350 0 0,00%Y1j 175 344,1136095 169,1136095 96,64%16 FLANDES 1,753289474X1j 10 7,079173913 -2,920826087 -29,21%X2j 600 600 0 0,00%Y1j 304 533 229 75,33%17 FRESNO 1,093157948X1j 13,2 13,2 0 0,00%X2j 1550 1550 0 0,00%Y1j 791 864,6879365 73,68793648 9,32%18 GUAYABAL-ARMERO 1,809294872X1j 7,5 4,4448 -3,0552 -40,74%X2j 390 390 0 0,00%Y1j 208 376,3333333 168,3333333 80,93%19 HERVEO 1,772860467X1j 2,047 2,047 0 0,00%X2j 350 350 0 0,00%Y1j 152 269,474791 117,474791 77,29%20 HONDA 1X1j 2,9 2,9 0 0,00%X2j 650 650 0 0,00%Y1j 442 442 0 0,00%21 IBAGUE 1X1j 197,942 197,942 0 0,00%X2j 16419 16419 0 0,00%Y1j 7319 7319 0 0,00%22 ICONONZO 1,275759103X1j 1,9 1,9 0 0,00%X2j 290 290 0 0,00%Y1j 185 236,0154341 51,01543408 27,58%23 LIBANO 1,086124538X1j 22,946 22,946 0 0,00%X2j 1050 1050 0 0,00%Y1j 763 828,7130225 65,71302252 8,61%24 MARIQUITA 1,062418301X1j 4,121 4,121 0 0,00%X2j 1300 1104,882353 -195,1176471 -15,01%Y1j 558 592,8294118 34,82941177 6,24%25 MURILLO 1,829301075X1j 5,996 3,5244 -2,4716 -41,22%X2j 195 195 0 0,00%Y1j 124 226,8333333 102,8333333 82,93%26 NATAGAIMA 1,719127539X1j 14,356 14,356 0 0,00%X2j 1250 1250 0 0,00%Y1j 469 806,2708158 337,2708158 71,91%27 ORTEGA 1X1j 5,45 5,45 0 0,00%X2j 1600 1600 0 0,00%Y1j 757 757 0 0,00%28 PALOCABILDO1,207364341X1j 8,5 3,4064 -5,0936 -59,92%X2j 170 170 0 0,00%Y1j 172 207,6666667 35,66666667 20,74%29 PIEDRAS 2,617015693X1j 3,22 3,22 0 0,00%X2j 135 135 0 0,00%Y1j 69 180,5740828 111,5740828 161,70%


30 PLANADAS 1,823698384X1j 34,014 33,76344348 -0,250556522 -0,74%X2j 1310 1310 0 0,00%Y1j 557 1015,8 458,8 82,37%31 PRADO 1X1j 0,982 0,982 0 0,00%X2j 315 315 0 0,00%Y1j 191 191 0 0,00%32 PURIFICACION1,340969022X1j 6,4 6,4 0 0,00%X2j 650 650 0 0,00%Y1j 404 541,7514849 137,7514849 34,10%33 RIOBLANCO 1,059009435X1j 6 6 0 0,00%X2j 1150 1150 0 0,00%Y1j 620 656,5858498 36,58584984 5,90%34 RONCESVALLES2,061403509X1j 5 4,5392 -0,4608 -9,22%X2j 410 410 0 0,00%Y1j 190 391,6666667 201,6666667 106,14%35 SALDAÑA 1,847947727X1j 4,8 4,8 0 0,00%X2j 570 570 0 0,00%Y1j 265 489,7061475 224,7061475 84,79%36 SAN ANTONIO 1,239583333X1j 17,604 5,0584 -12,5456 -71,27%X2j 520 520 0 0,00%Y1j 384 476 92 23,96%37 SAN LUIS 1,551066218X1j 7,6 4,964 -2,636 -34,68%X2j 500 500 0 0,00%Y1j 297 460,6666667 163,6666667 55,11%38 SUAREZ 1X1j 0,3 0,3 0 0,00%X2j 175 175 0 0,00%Y1j 41 41 0 0,00%39 VALLE DE SAN 2,172527473JUANX1j 5 3,34504 -1,65496 -33,10%X2j 157 157 0 0,00%Y1j 91 197,7 106,7 117,25%40 VENADILLO 1,269402728X1j 3,921 3,921 0 0,00%X2j 430 430 0 0,00%Y1j 306 388,4372347 82,43723473 26,94%41 VILLA HERMOSA2,652976305X1j 14,2 14,2 0 0,00%X2j 794 794 0 0,00%Y1j 250 663,2440764 413,2440764 165,30%42 VILLA RICA 1X1j 1,15 1,15 0 0,00%X2j 50 50 0 0,00%Y1j 95 95 0 0,00%


MunicipioDMUPIEDRASRONCESVALLESCUNDAYALPUJARRAMURILLOGUAYABAL-ARMEROFLANDESNATAGAIMASAN LUISCAJAMARCAICONONZOSAN ANTONIOATACODOLORESMARIQUITACOELLOCOYAIMAESPINALIBAGUEPRADOVILLA RICA0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


MunicipioDMUVILLA HERMOSAVALLE DE SAN JUANSAN LUISSALDAÑARIOBLANCOPRADOPIEDRASORTEGAMURILLOLIBANOIBAGUEHERVEOFRESNOFALANDOLORESCOYAIMACHAPARRALCARMEN DE APICALAATACOAMBALEMAALPUJARRA0,0000000 0,1000000 0,2000000 0,3000000 0,4000000 0,5000000 0,6000000 0,7000000 0,8000000 0,9000000 1,0000000Efficiency


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O)Rank DMU Score1 VILLA RICA 11 SUAREZ 11 PRADO 11 ORTEGA 11 IBAGUE 11 HONDA 11 ESPINAL 11 CARMEN DE APICALA 11 COYAIMA 110 CHAPARRAL 0,99736966411 COELLO 0,94709443512 RIOBLANCO 0,9442786513 MARIQUITA 0,94124884714 LIBANO 0,9207047315 DOLORES 0,92058373116 FRESNO 0,9147808917 ATACO 0,84790084918 PALOCABILDO 0,82825040119 SAN ANTONIO 0,80672268920 VENADILLO 0,78777205921 ICONONZO 0,78384704322 PURIFICACION 0,74572938223 CAJAMARCA 0,69021990824 ANZOATEGUI 0,68615837325 SAN LUIS 0,644717826 AMBALEMA 0,59812160227 NATAGAIMA 0,58169040828 CASABIANCA 0,57063403829 FLANDES 0,57035647330 HERVEO 0,56406018331 GUAYABAL-ARMERO 0,55270150632 PLANADAS 0,54833628733 MURILLO 0,5466568734 SALDAÑA 0,54114084835 ALPUJARRA 0,53149606336 ALVARADO 0,52238172137 CUNDAY 0,51929396638 FALAN 0,50855297539 RONCESVALLES 0,48510638340 VALLE DE SAN JUAN 0,46029337441 PIEDRAS 0,38211463642 VILLA HERMOSA 0,376935142


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU Score Rank 1/Score Reference set (lambda)1 ALPUJARRA 0,5314961 35 1,8814815 CARMEN DE APICALA 0,95555556 COYAIMA 4,44E-022 ALVARADO 0,5223817 36 1,9143089 CARMEN DE APICALA 0,30888889 COYAIMA 0,691111113 AMBALEMA 0,5981216 26 1,6719008 CARMEN DE APICALA0,86 COYAIMA 0,144 ANZOATEGUI 0,6861584 24 1,4573895 COYAIMA 0,2266881 HONDA 0,36109325 VILLA RICA 0,412218655 ATACO 0,8479008 17 1,1793832 COYAIMA 0,94781209 IBAGUE 4,40E-03 ORTEGA 4,78E-026 CAJAMARCA 0,6902199 23 1,4488136 COYAIMA 0,91669308 IBAGUE 2,38E-02 ORTEGA 5,95E-027 CARMEN DE APICALA 1,0000000 1 1,0000000 CARMEN DE APICALA 18 CASABIANCA 0,5706340 28 1,7524366 CARMEN DE APICALA 0,57777778 COYAIMA 0,422222229 CHAPARRAL 0,9973697 10 1,0026373 COYAIMA 3,84E-02 IBAGUE 4,66E-02 ORTEGA 0,9150382810 COELLO 0,9470944 11 1,0558609 PRADO 0,58483164 SUAREZ 0,29616092 VILLA RICA 0,1189974411 COYAIMA 1,0000000 1 1,0000000 COYAIMA 112 CUNDAY 0,5192940 37 1,9256915 COYAIMA 0,27813505 HONDA 0,18488746 VILLA RICA 0,5369774913 DOLORES 0,9205837 15 1,0862673 HONDA 9,38E-03 PRADO 0,9906152214 ESPINAL 1,0000000 1 1,0000000 ESPINAL 115 FALAN 0,5085530 38 1,9663635 CARMEN DE APICALA 0,36094675 COYAIMA 0,56390533 VILLA RICA 7,51E-0216 FLANDES 0,5703565 29 1,7532895 COYAIMA 0,95652174 ESPINAL 4,35E-0217 FRESNO 0,9147809 16 1,0931579 COYAIMA 0,62734081 IBAGUE 4,11E-02 ORTEGA 0,3315830218 GUAYABAL-ARMERO 0,5527015 31 1,8092949 CARMEN DE APICALA 0,35555556 COYAIMA 0,6444444419 HERVEO 0,5640602 30 1,7728605 COYAIMA 8,49E-03 HONDA 0,49292605 VILLA RICA 0,4985852120 HONDA 1,0000000 1 1,0000000 HONDA 121 IBAGUE 1,0000000 1 1,0000000 IBAGUE 122 ICONONZO 0,7838470 21 1,2757591 COYAIMA 1,93E-02 HONDA 0,38392283 VILLA RICA 0,5967845723 LIBANO 0,9207047 14 1,0861245 COYAIMA 0,59837454 ESPINAL 0,39903489 IBAGUE 2,59E-0324 MARIQUITA 0,9412488 13 1,0624183 HONDA 0,52117647 ORTEGA 0,4788235325 MURILLO 0,5466569 33 1,8293011 CARMEN DE APICALA 0,78888889 COYAIMA 0,2111111126 NATAGAIMA 0,5816904 27 1,7191275 COYAIMA 0,93515485 ESPINAL 2,24E-02 IBAGUE 4,25E-0227 ORTEGA 1,0000000 1 1,0000000 ORTEGA 128 PALOCABILDO 0,8282504 18 1,2073643 CARMEN DE APICALA 0,84444444 COYAIMA 0,1555555629 PIEDRAS 0,3821146 41 2,6170157 CARMEN DE APICALA 0,90828402 COYAIMA 7,92E-02 VILLA RICA 1,25E-0230 PLANADAS 0,5483363 32 1,8236984 COYAIMA 0,33913043 ESPINAL 0,6608695731 PRADO 1,0000000 1 1,0000000 PRADO 132 PURIFICACION 0,7457294 22 1,3409690 COYAIMA 0,99260931 IBAGUE 6,22E-03 ORTEGA 1,17E-0333 RIOBLANCO 0,9442787 12 1,0590094 COYAIMA 0,47765217 IBAGUE 3,48E-03 ORTEGA 0,5188702234 RONCESVALLES 0,4851064 39 2,0614035 CARMEN DE APICALA 0,31111111 COYAIMA 0,6888888935 SALDAÑA 0,5411408 34 1,8479477 COYAIMA 0,82336066 HONDA 0,17418033 ORTEGA 0,0024590236 SAN ANTONIO 0,8067227 19 1,2395833 CARMEN DE APICALA 6,67E-02 COYAIMA 0,9333333337 SAN LUIS 0,6447178 25 1,5510662 CARMEN DE APICALA 0,11111111 COYAIMA 0,8888888938 SUAREZ 1,0000000 1 1,0000000 SUAREZ 139 VALLE DE SAN JUAN 0,4602934 40 2,1725275 CARMEN DE APICALA 0,87333333 COYAIMA 0,1266666740 VENADILLO 0,7877721 20 1,2694027 COYAIMA 0,64154341 HONDA 9,87E-02 VILLA RICA 0,2597427741 VILLA HERMOSA 0,3769351 42 2,6529763 COYAIMA 0,79322795 ESPINAL 0,20635 IBAGUE 4,22E-0442 VILLA RICA 1,0000000 1 1,0000000 VILLA RICA 1


<strong>DEA</strong> model = <strong>DEA</strong>-<strong>Solver</strong> LV3.0/ <strong>BCC</strong>(<strong>BCC</strong>-O)Problem = MunicipioNo. of DMUs = 42No. of Input items = 2Input(1) = X1jInput(2) = X2jNo. of Output items = 1Output(1) = Y1jReturns to Scale = Variable (Sum of Lambda = 1)Statistics on Input/Output DataX1j X2j Y1jMax 197,942 16419 7319Min 0,3 50 41Average 12,86443019 998,7142857 508,0238095SD 30,32108936 2460,585154 1097,325309CorrelationX1j X2j Y1jX1j 1 0,968452328 0,974254075X2j 0,968452328 1 0,99548521Y1j 0,974254075 0,99548521 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 42Average 0,744458379SD 0,207930819Maximum 1Minimum 0,376935142Frequency in Reference SetReference Frequency to other DMUsCARMEN DE APICALA 13COYAIMA 30ESPINAL 5HONDA 8IBAGUE 9ORTEGA 8PRADO 2SUAREZ 1VILLA RICA 8No. of DMUs in Data = 42No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 42Average of scores = 0,744458379No. of efficient DMUs = 9No. of inefficient DMUs = 33No. of over iteration DMUs = 0[<strong>BCC</strong>-O] LP started at 07-10-2008 10:10:24 and completed at 07-10-2008 10:10:24Elapsed time = 1 secondsTotal number of simplex iterations = 347


Municipio (I) X1j (I) X2j (O) Y1jALPUJARRA 4,500000 120 90ALVARADO 5,500000 411 205AMBALEMA 4,600000 163 121ANZOATEGUI 2,700000 380 214ATACO 6,060000 670 459CAJAMARCA 9,800000 990 467CARMEN DE APICALA 3,076000 100 154CASABIANCA 20,464000 290 171CHAPARRAL 14,407068 2250 1050COELLO 0,800000 242 128COYAIMA 5,200000 550 499CUNDAY 2,600000 300 141DOLORES 1,000000 450 178ESPINAL 48,421000 1700 1281FALAN 4,129000 350 175FLANDES 10,000000 600 304FRESNO 13,200000 1550 791GUAYABAL-ARMERO 7,500000 390 208HERVEO 2,047000 350 152HONDA 2,900000 650 442IBAGUE 197,942000 16419 7319ICONONZO 1,900000 290 185LIBANO 22,946000 1050 763MARIQUITA 4,121000 1300 558MURILLO 5,996000 195 124NATAGAIMA 14,356000 1250 469ORTEGA 5,450000 1600 757PALOCABILDO 8,500000 170 172PIEDRAS 3,220000 135 69PLANADAS 34,014000 1310 557PRADO 0,982000 315 191PURIFICACION 6,400000 650 404RIOBLANCO 6,000000 1150 620RONCESVALLES 5,000000 410 190SALDAÑA 4,800000 570 265SAN ANTONIO 17,604000 520 384SAN LUIS 7,600000 500 297SUAREZ 0,300000 175 41VALLE DE SAN JUAN 5,000000 157 91VENADILLO 3,921000 430 306VILLA HERMOSA 14,200000 794 250VILLA RICA 1,150000 50 95540,306068 41946 213370,518000700060005000400030002000100008000700060005000400030002000100001800016000140001200010000800060004000200000 50 100 150 200 2500 5000 10000 15000 200000 50 100 150 200 250


1 ALPUJARRA CARMEN DE APICALA 7 0,95555556 COYAIMA 11 0,044444442 ALVARADO CARMEN DE APICALA 7 0,30888889 COYAIMA 11 0,691111113 AMBALEMA CARMEN DE APICALA 7 0,86000000 COYAIMA 11 0,140000004 ANZOATEGUI COYAIMA 11 0,22668810 HONDA 20 0,36109325 VILLA RICA 42 0,412218655 ATACO COYAIMA 11 0,94781209 IBAGUE 21 0,00439994 ORTEGA 27 0,047787976 CAJAMARCA COYAIMA 11 0,91669308 IBAGUE 21 0,02378890 ORTEGA 27 0,059518027 CARMEN DE APICALA CARMEN DE APICALA 7 1,000000008 CASABIANCA CARMEN DE APICALA 7 0,57777778 COYAIMA 11 0,422222229 CHAPARRAL COYAIMA 11 0,03837972 IBAGUE 21 0,04658200 ORTEGA 27 0,9150382810 COELLO PRADO 31 0,58483164 SUAREZ 38 0,29616092 VILLA RICA 42 0,1189974411 COYAIMA COYAIMA 11 1,0000000012 CUNDAY COYAIMA 11 0,27813505 HONDA 20 0,18488746 VILLA RICA 42 0,5369774913 DOLORES HONDA 20 0,00938478 PRADO 31 0,9906152214 ESPINAL ESPINAL 14 1,0000000015 FALAN CARMEN DE APICALA 7 0,36094675 COYAIMA 11 0,56390533 VILLA RICA 42 0,0751479316 FLANDES COYAIMA 11 0,95652174 ESPINAL 14 0,0434782617 FRESNO COYAIMA 11 0,62734081 IBAGUE 21 0,04107618 ORTEGA 27 0,3315830218 GUAYABAL-ARMERO CARMEN DE APICALA 7 0,35555556 COYAIMA 11 0,6444444419 HERVEO COYAIMA 11 0,00848875 HONDA 20 0,49292605 VILLA RICA 42 0,4985852120 HONDA HONDA 20 1,0000000021 IBAGUE IBAGUE 21 1,0000000022 ICONONZO COYAIMA 11 0,01929260 HONDA 20 0,38392283 VILLA RICA 42 0,5967845723 LIBANO COYAIMA 11 0,59837454 ESPINAL 14 0,39903489 IBAGUE 21 0,0025905824 MARIQUITA HONDA 20 0,52117647 ORTEGA 27 0,4788235325 MURILLO CARMEN DE APICALA 7 0,78888889 COYAIMA 11 0,2111111126 NATAGAIMA COYAIMA 11 0,93515485 ESPINAL 14 0,02235394 IBAGUE 21 0,0424912127 ORTEGA ORTEGA 27 1,0000000028 PALOCABILDO CARMEN DE APICALA 7 0,84444444 COYAIMA 11 0,1555555629 PIEDRAS CARMEN DE APICALA 7 0,90828402 COYAIMA 11 0,07917160 VILLA RICA 42 0,0125443830 PLANADAS COYAIMA 11 0,33913043 ESPINAL 14 0,6608695731 PRADO PRADO 31 1,0000000032 PURIFICACION COYAIMA 11 0,99260931 IBAGUE 21 0,00622443 ORTEGA 27 0,0011662633 RIOBLANCO COYAIMA 11 0,47765217 IBAGUE 21 0,00347761 ORTEGA 27 0,5188702234 RONCESVALLES CARMEN DE APICALA 7 0,31111111 COYAIMA 11 0,6888888935 SALDAÑA COYAIMA 11 0,82336066 HONDA 20 0,17418033 ORTEGA 27 0,0024590236 SAN ANTONIO CARMEN DE APICALA 7 0,06666667 COYAIMA 11 0,9333333337 SAN LUIS CARMEN DE APICALA 7 0,11111111 COYAIMA 11 0,8888888938 SUAREZ SUAREZ 38 1,0000000039 VALLE DE SAN JUAN CARMEN DE APICALA 7 0,87333333 COYAIMA 11 0,1266666740 VENADILLO COYAIMA 11 0,64154341 HONDA 20 0,09871383 VILLA RICA 42 0,2597427741 VILLA HERMOSA COYAIMA 11 0,79322795 ESPINAL 14 0,20635000 IBAGUE 21 0,0004220542 VILLA RICA VILLA RICA 42 1,00000000


Unit name Score RTS Actual (I) X1j Actual (I) X2j Actual (O) Y1j Target (I) X1j Target (I) X2j Target (O) Y1jPercent (I) X1jPercent (I) X2jALPUJARRA 53,15 1 4,5 120 90 3,17 120 169,33 -29,5 0ALVARADO 52,24 1 5,5 411 205 4,54 411 392,43 -17,4 0AMBALEMA 59,81 1 4,6 163 121 3,37 163 202,3 -26,7 0ANZOATEGUI 68,62 1 2,7 380 214 2,7 380 311,88 0 0ATACO 84,79 1 6,06 670 459 6,06 670 541,34 0 0CAJAMARCA 69,02 1 9,8 990 467 9,8 990 676,6 0 0CARMEN DE APICALA 100 0 3,08 100 154 3,08 100 154 0 0CASABIANCA 57,06 1 20,46 290 171 3,97 290 299,67 -80,6 0CHAPARRAL 99,74 1 14,41 2250 1050 14,41 2250 1052,77 0 0COELLO 94,71 -1 0,8 242 128 0,8 242 135,15 0 0COYAIMA 100 0 5,2 550 499 5,2 550 499 0 0CUNDAY 51,93 1 2,6 300 141 2,6 300 271,52 0 0DOLORES 92,06 1 1 450 178 1 318,14 193,36 0 -29,3ESPINAL 100 0 48,42 1700 1281 48,42 1700 1281 0 0FALAN 50,86 1 4,13 350 175 4,13 350 344,11 0 0FLANDES 57,04 1 10 600 304 7,08 600 533 -29,2 0FRESNO 91,48 1 13,2 1550 791 13,2 1550 864,69 0 0GUAYABAL-ARMERO 55,27 1 7,5 390 208 4,44 390 376,33 -40,7 0HERVEO 56,41 1 2,05 350 152 2,05 350 269,47 0 0HONDA 100 0 2,9 650 442 2,9 650 442 0 0IBAGUE 100 0 197,94 16419 7319 197,94 16419 7319 0 0ICONONZO 78,38 1 1,9 290 185 1,9 290 236,02 0 0LIBANO 92,07 1 22,95 1050 763 22,95 1050 828,71 0 0MARIQUITA 94,12 1 4,12 1300 558 4,12 1104,88 592,83 0 -15MURILLO 54,67 1 6 195 124 3,52 195 226,83 -41,2 0NATAGAIMA 58,17 1 14,36 1250 469 14,36 1250 806,27 0 0ORTEGA 100 0 5,45 1600 757 5,45 1600 757 0 0PALOCABILDO 82,83 1 8,5 170 172 3,41 170 207,67 -59,9 0PIEDRAS 38,21 1 3,22 135 69 3,22 135 180,57 0 0PLANADAS 54,83 1 34,01 1310 557 33,76 1310 1015,8 -0,7 0PRADO 100 0 0,98 315 191 0,98 315 191 0 0PURIFICACION 74,57 1 6,4 650 404 6,4 650 541,75 0 0RIOBLANCO 94,43 1 6 1150 620 6 1150 656,59 0 0RONCESVALLES 48,51 1 5 410 190 4,54 410 391,67 -9,2 0SALDAÑA 54,11 1 4,8 570 265 4,8 570 489,71 0 0SAN ANTONIO 80,67 1 17,6 520 384 5,06 520 476 -71,3 0SAN LUIS 64,47 1 7,6 500 297 4,96 500 460,67 -34,7 0SUAREZ 100 0 0,3 175 41 0,3 175 41 0 0VALLE DE SAN JUAN 46,03 1 5 157 91 3,35 157 197,7 -33,1 0VENADILLO 78,78 1 3,92 430 306 3,92 430 388,44 0 0VILLA HERMOSA 37,69 1 14,2 794 250 14,2 794 663,24 0 0VILLA RICA 100 0 1,15 50 95 1,15 50 95 0 0


Percent (O) Y1jDiff (I) X1j Diff (I) X2j Diff (O) Y1j Refs Peers IO Cont (I) X1jIO Cont (I) X2jIO Cont (O) Y1jPrimal (I) X1j Primal (I) X2j Primal (O) Y1j88,1 -1,33 0 79,33 0 2 0,0 100,0 100 1,00E-06 139,865555 81,322222291,4 -0,96 0 187,43 0 2 0,0 100,0 100 1,00E-06 61,4043899 35,70243967,2 -1,23 0 81,3 0 2 0,0 100,0 100 1,00E-06 104,032231 60,487603345,7 0 0 97,88 0 3 41,2 58,8 100 40,9838741 34,456858 34,200934617,9 0 0 82,34 0 3 36,6 63,4 100 6,66565502 8,65786076 15,945533844,9 0 0 209,6 0 3 38,7 61,3 100 6,55146821 8,50954623 15,67237690 0 0 0 13 0 0,0 100,0 100 1,00E-06 81,73961 47,52597475,2 -16,49 0 128,67 0 2 0,0 100,0 100 1,00E-06 73,6134499 42,80116960,3 0 0 2,77 0 3 29,0 71,0 100 2,91384348 3,78472199 6,970476195,6 0 0 7,15 0 3 49,0 51,0 100 199,198823 56,9439859 57,17968750 0 0 0 30 0 23,1 76,9 100 3,90213094 10,2097168 14,667334792,6 0 0 130,52 0 3 46,1 53,9 100 62,2024757 52,2962243 51,90780148,6 0 -131,86 15,36 0 2 100,0 0,0 100 145,526828 1,00E-06 41,11797750 0 0 0 5 0 0,0 100,0 100 1,00E-06 5,25789982 5,7135050796,6 0 0 169,11 0 3 16,9 83,1 100 13,8319572 66,5154092 41,822857175,3 -2,92 0 229 0 2 0,0 100,0 100 1,00E-06 36,7267074 24,07565799,3 0 0 73,69 0 3 35,2 64,8 100 3,86793383 5,02396725 9,252844580,9 -3,06 0 168,33 0 2 0,0 100,0 100 1,00E-06 60,5187496 35,187577,3 0 0 117,47 0 3 36,6 63,4 100 57,7009807 48,5116291 48,15131580 0 0 0 8 0 30,6 69,4 100 19,8428712 16,6827322 16,55882350 0 0 0 9 0 27,7 72,3 100 0,26604227 0,69608535 127,6 0 0 51,02 0 3 39,3 60,7 100 47,4083733 39,8582034 39,56216228,6 0 0 65,71 0 3 40,9 59,1 100 2,55198341 6,67712801 9,592398436,2 0 -195,12 34,83 0 2 100,0 0,0 100 43,8201726 1,00E-06 13,116487582,9 -2,47 0 102,83 0 2 0,0 100,0 100 1,00E-06 101,515322 59,024193571,9 0 0 337,27 0 3 26,7 73,3 100 4,1517342 10,8627903 15,60554370 0 0 0 8 0 100,0 0,0 100 8,91385511 1,00E-06 9,6684280120,7 -5,09 0 35,67 0 2 0,0 100,0 100 1,00E-06 73,1854647 42,5523256161,7 0 0 111,57 0 3 29,1 70,9 100 35,0810508 168,698502 106,07246482,4 -0,25 0 458,8 0 2 0,0 100,0 100 1,00E-06 20,0447366 13,14003590 0 0 0 2 0 100,0 0,0 100 135,621861 1,00E-06 38,319371734,1 0 0 137,75 0 3 38,6 61,4 100 7,57310806 9,83652993 18,11633665,9 0 0 36,59 0 3 25,0 75,0 100 4,93473493 6,40960982 11,8048387106,1 -0,46 0 201,67 0 2 0,0 100,0 100 1,00E-06 66,2521049 38,521052684,8 0 0 224,71 0 3 55,5 44,5 100 26,2198149 14,706254 27,618867924 -12,55 0 92 0 2 0,0 100,0 100 1,00E-06 32,7809892 19,059895855,1 -2,64 0 163,67 0 2 0,0 100,0 100 1,00E-06 42,3835013 24,64309760 0 0 0 1 0 33,2 66,8 100 621,889007 177,776346 178,512195117,3 -1,65 0 106,7 0 2 0,0 100,0 100 1,00E-06 138,328571 80,428571426,9 0 0 82,44 0 3 47,4 52,6 100 28,6619251 24,0972798 23,9183007165,3 0 0 413,24 0 3 36,2 63,8 100 7,78865336 20,3785947 29,2760 0 0 0 8 0 0,0 100,0 100 1,00E-06 203,94126 77,0421053


Intercept Slacks (I) X1j Slacks (I) X2j Slacks (O) Y1jLambda 1 Lambda 2 Lambda 3 L-Peer 1 L-Peer 2 L-Peer 3-0,85925925 0,00671712 0 0 0,95555556 0,04444444 0 CARMEN DE APICALA COYAIMA 0-0,37723576 0,0048301 0 0 0,30888889 0,69111111 0 CARMEN DE APICALA COYAIMA 0-0,63911844 0,00619697 0 0 0,86 0,14 0 CARMEN DE APICALA COYAIMA 0-0,100888 0 0 0 0,2266881 0,36109325 0,41221865 COYAIMA HONDA VILLA RICA-0,62201798 0 0 0 0,94781209 0,00439994 0,04778797 COYAIMA IBAGUE ORTEGA-0,61136243 0 0 0 0,91669308 0,0237889 0,05951802 COYAIMA IBAGUE ORTEGA-0,50216449 0 0 0 1 0 0 CARMEN DE APICALA 0 0-0,4522417 0,08331329 0 0 0,57777778 0,42222222 0 CARMEN DE APICALA COYAIMA 0-0,27191072 0 0 0 0,03837972 0,046582 0,91503828 COYAIMA IBAGUE ORTEGA0,58852318 0 0 0 0,58482252 0,29617626 0,11900122 PRADO SUAREZ VILLA RICA-0,55548695 0 0 0 1 0 0 COYAIMA 0 0-0,1531208 0 0 0 0,27813505 0,18488746 0,53697749 COYAIMA HONDA VILLA RICA-0,35106793 0 0,0080307 0 0,00938478 0,99061522 0 HONDA PRADO 0-0,45560426 0 0 0 1 0 0 ESPINAL 0 0-0,25994026 0 0 0 0,36094675 0,56390533 0,07514793 CARMEN DE APICALA COYAIMA VILLA RICA-0,41118429 0,01475597 0 0 0,95652174 0,04347826 0 COYAIMA ESPINAL 0-0,36094343 0 0 0 0,62734081 0,04107618 0,33158302 COYAIMA IBAGUE ORTEGA-0,37179486 0,01543482 0 0 0,35555556 0,64444444 0 CARMEN DE APICALA COYAIMA 0-0,14203969 0 0 0 0,00848875 0,49292605 0,49858521 COYAIMA HONDA VILLA RICA-0,04884623 0 0 0 1 0 0 HONDA 0 0-0,03787239 0 0 0 1 0 0 IBAGUE 0 0-0,11670288 0 0 0 0,0192926 0,38392283 0,59678457 COYAIMA HONDA VILLA RICA-0,36328701 0 0 0 0,59837454 0,39903489 0,00259058 COYAIMA ESPINAL IBAGUE-0,15011599 0 0,01188365 0 0,52117647 0,47882353 0 HONDA ORTEGA 0-0,6236559 0,01248649 0 0 0,78888889 0,21111111 0 CARMEN DE APICALA COYAIMA 0-0,59101916 0 0 0 0,93515485 0,02235394 0,04249121 COYAIMA ESPINAL IBAGUE-0,7545719 0 0 0 1 0 0 ORTEGA 0 0-0,44961239 0,02573279 0 0 0,84444444 0,15555556 0 CARMEN DE APICALA COYAIMA 0-0,65926879 0 0 0 0,90828402 0,0791716 0,01254438 CARMEN DE APICALA COYAIMA VILLA RICA-0,2244166 0,00126581 0 0 0,33913043 0,66086957 0 COYAIMA ESPINAL 0-0,32717326 0 0 0 1 0 0 PRADO 0 0-0,70669864 0 0 0 0,99260931 0,00622443 0,00116626 COYAIMA IBAGUE ORTEGA-0,46049396 0 0 0 0,47765217 0,00347761 0,51887022 COYAIMA IBAGUE ORTEGA-0,40701753 0,00232795 0 0 0,31111111 0,68888889 0 CARMEN DE APICALA COYAIMA 0-0,70158908 0 0 0 0,82336066 0,17418033 0,00245902 COYAIMA HONDA ORTEGA-0,20138888 0,06338018 0 0 0,06666667 0,93333333 0 CARMEN DE APICALA COYAIMA 0-0,26038158 0,01331703 0 0 0,11111111 0,88888889 0 CARMEN DE APICALA COYAIMA 01,83734066 0 0 0 1 0 0 SUAREZ 0 0-0,84981684 0,00836083 0 0 0,87333333 0,12666667 0 CARMEN DE APICALA COYAIMA 0-0,07055566 0 0 0 0,64154341 0,09871383 0,25974277 COYAIMA HONDA VILLA RICA-1,10875195 0 0 0 0,79322795 0,20635 0,00042205 COYAIMA ESPINAL IBAGUE-0,37894737 0 0 0 1 0 0 VILLA RICA 0 0


Municipio I 1 MP (%) I 2 MP (%) P 1 MP (%)ALPUJARRA 4,50 3,17 -29,50 120 120 0,00 90 169 88,10ALVARADO 5,50 4,54 -17,40 411 411 0,00 205 392 91,40AMBALEMA 4,60 3,37 -26,70 163 163 0,00 121 202 67,20ANZOATEGUI 2,70 2,70 0,00 380 380 0,00 214 312 45,70ATACO 6,06 6,06 0,00 670 670 0,00 459 541 17,90CAJAMARCA 9,80 9,80 0,00 990 990 0,00 467 677 44,90CARMEN DE APICALA 3,08 3,08 0,00 100 100 0,00 154 154 0,00CASABIANCA 20,46 3,97 -80,60 290 290 0,00 171 300 75,20CHAPARRAL 14,41 14,41 0,00 2250 2250 0,00 1050 1053 0,30COELLO 0,80 0,80 0,00 242 242 0,00 128 135 5,60COYAIMA 5,20 5,20 0,00 550 550 0,00 499 499 0,00CUNDAY 2,60 2,60 0,00 300 300 0,00 141 272 92,60DOLORES 1,00 1,00 0,00 450 318 -29,30 178 193 8,60ESPINAL 48,42 48,42 0,00 1700 1700 0,00 1281 1281 0,00FALAN 4,13 4,13 0,00 350 350 0,00 175 344 96,60FLANDES 10,00 7,08 -29,20 600 600 0,00 304 533 75,30FRESNO 13,20 13,20 0,00 1550 1550 0,00 791 865 9,30GUAYABAL-ARMERO 7,50 4,44 -40,70 390 390 0,00 208 376 80,90HERVEO 2,05 2,05 0,00 350 350 0,00 152 269 77,30HONDA 2,90 2,90 0,00 650 650 0,00 442 442 0,00IBAGUE 197,94 197,94 0,00 16419 16419 0,00 7319 7319 0,00ICONONZO 1,90 1,90 0,00 290 290 0,00 185 236 27,60LIBANO 22,95 22,95 0,00 1050 1050 0,00 763 829 8,60MARIQUITA 4,12 4,12 0,00 1300 1105 -15,00 558 593 6,20MURILLO 6,00 3,52 -41,20 195 195 0,00 124 227 82,90NATAGAIMA 14,36 14,36 0,00 1250 1250 0,00 469 806 71,90ORTEGA 5,45 5,45 0,00 1600 1600 0,00 757 757 0,00PALOCABILDO 8,50 3,41 -59,90 170 170 0,00 172 208 20,70PIEDRAS 3,22 3,22 0,00 135 135 0,00 69 181 161,70PLANADAS 34,01 33,76 -0,70 1310 1310 0,00 557 1016 82,40PRADO 0,98 0,98 0,00 315 315 0,00 191 191 0,00PURIFICACION 6,40 6,40 0,00 650 650 0,00 404 542 34,10RIOBLANCO 6,00 6,00 0,00 1150 1150 0,00 620 657 5,90RONCESVALLES 5,00 4,54 -9,20 410 410 0,00 190 392 106,10SALDAÑA 4,80 4,80 0,00 570 570 0,00 265 490 84,80SAN ANTONIO 17,60 5,06 -71,30 520 520 0,00 384 476 24,00SAN LUIS 7,60 4,96 -34,70 500 500 0,00 297 461 55,10SUAREZ 0,30 0,30 0,00 175 175 0,00 41 41 0,00VALLE DE SAN JUAN 5,00 3,35 -33,10 157 157 0,00 91 198 117,30VENADILLO 3,92 3,92 0,00 430 430 0,00 306 388 26,90VILLA HERMOSA 14,20 14,20 0,00 794 794 0,00 250 663 165,30VILLA RICA 1,15 1,15 0,00 50 50 0,00 95 95 0,00540,31 489,21 41946,00 41619,02 21337,00 25773,42-9,46-0,7820,79-9,46-0,7820,79ProductoInsumo 2Insumo 1-15 -10 -5 0 5 10 15 20 25


No. Municipios ETG ETP ETP>ETG EE Rank31 PRADO 1,0000000 1,0000000 0,0000000 1,0000000 142 VILLA RICA 1,0000000 1,0000000 0,0000000 1,0000000 120 HONDA 0,9801078 1,0000000 0,0198922 0,9801078 111 COYAIMA 0,8906448 1,0000000 0,1093552 0,8906448 17 CARMEN DE APICALA 0,8105263 1,0000000 0,1894737 0,8105263 127 ORTEGA 0,7568314 1,0000000 0,2431686 0,7568314 138 SUAREZ 0,7026527 1,0000000 0,2973473 0,7026527 114 ESPINAL 0,3965944 1,0000000 0,6034056 0,3965944 121 IBAGUE 0,3752505 1,0000000 0,6247495 0,3752505 19 CHAPARRAL 0,5690148 0,9973697 0,4283548 0,5705155 1010 COELLO 0,8550331 0,9470944 0,0920613 0,9027961 1133 RIOBLANCO 0,7256320 0,9442787 0,2186467 0,7684511 1224 MARIQUITA 0,7039251 0,9412488 0,2373238 0,7478629 1323 LIBANO 0,3980879 0,9207047 0,5226168 0,4323730 1413 DOLORES 0,9151623 0,9205837 0,0054214 0,9941109 1517 FRESNO 0,5329118 0,9147809 0,3818691 0,5825567 165 ATACO 0,6905938 0,8479008 0,1573070 0,8144748 1728 PALOCABILDO 0,5325077 0,8282504 0,2957427 0,6429309 1836 SAN ANTONIO 0,3886640 0,8067227 0,4180587 0,4817814 1940 VENADILLO 0,7139041 0,7877721 0,0738680 0,9062318 2022 ICONONZO 0,7687783 0,7838470 0,0150687 0,9807759 2132 PURIFICACION 0,5952582 0,7457294 0,1504712 0,7982228 226 CAJAMARCA 0,4502892 0,6902199 0,2399307 0,6523851 234 ANZOATEGUI 0,6504373 0,6861584 0,0357211 0,9479405 2437 SAN LUIS 0,4265723 0,6447178 0,2181455 0,6616418 253 AMBALEMA 0,3907007 0,5981216 0,2074209 0,6532128 2626 NATAGAIMA 0,3260433 0,5816904 0,2556471 0,5605100 278 CASABIANCA 0,3103448 0,5706340 0,2602892 0,5438596 2816 FLANDES 0,3405192 0,5703565 0,2298372 0,5970288 2919 HERVEO 0,5539019 0,5640602 0,0101583 0,9819908 3018 GUAYABAL-ARMERO 0,3223033 0,5527015 0,2303982 0,5831416 3130 PLANADAS 0,2237847 0,5483363 0,3245516 0,4081157 3225 MURILLO 0,3346829 0,5466569 0,2119740 0,6122357 3335 SALDAÑA 0,4886480 0,5411408 0,0524928 0,9029960 341 ALPUJARRA 0,3947368 0,5314961 0,1367592 0,7426901 352 ALVARADO 0,3914459 0,5223817 0,1309358 0,7493485 3612 CUNDAY 0,4858351 0,5192940 0,0334589 0,9355685 3715 FALAN 0,4269527 0,5085530 0,0816003 0,8395442 3834 RONCESVALLES 0,3871518 0,4851064 0,0979546 0,7980761 3939 VALLE DE SAN JUAN 0,3050620 0,4602934 0,1552314 0,6627556 4029 PIEDRAS 0,2690058 0,3821146 0,1131088 0,7039925 4141 VILLA HERMOSA 0,2009150 0,3769351 0,1760201 0,5330227 42Municipios EficientesMunicipios Eficientes (%)PromedioDesviación EstándarValor MínimoValor MáximoMunicipios IneficientesMunicipios Ineficientes (%)2 9 24,76 21,43 4,760,5472 0,7445 0,72870,2262 0,2105 0,18290,2009150 0,3769351 0,37525051 1 140 33 4095,24 78,57 95,24


1 ALPUJARRA VILLA RICA 42 2,4000000 2,4000000 DRS2 ALVARADO PRADO 31 0,6311672 VILLA RICA 42 4,2436468 4,8748140 DRS3 AMBALEMA VILLA RICA 42 3,2600000 3,2600000 DRS4 ANZOATEGUI PRADO 31 0,9643941 VILLA RICA 42 1,5243174 2,4887115 DRS5 ATACO PRADO 31 1,4928948 VILLA RICA 42 3,9947629 5,4876577 DRS6 CAJAMARCA PRADO 31 2,0708925 VILLA RICA 42 6,7533770 8,8242695 DRS7 CARMEN DE APICALA VILLA RICA 42 2,0000000 2,0000000 DRS8 CASABIANCA VILLA RICA 42 5,8000000 5,8000000 DRS9 CHAPARRAL PRADO 31 5,9624672 VILLA RICA 42 7,4364567 13,3989239 DRS10 COELLO PRADO 31 0,7609772 VILLA RICA 42 0,0458438 0,8068210 IRS11 COYAIMA PRADO 31 1,1895258 VILLA RICA 42 3,5059875 4,6955133 DRS12 CUNDAY PRADO 31 0,6865719 VILLA RICA 42 1,6745968 2,3611688 DRS13 DOLORES PRADO 31 1,0183299 1,0183299 DRS14 ESPINAL VILLA RICA 42 34,0000000 34,0000000 DRS15 FALAN PRADO 31 0,6260578 VILLA RICA 42 3,0558359 3,6818937 DRS16 FLANDES PRADO 31 0,6067380 VILLA RICA 42 8,1775507 8,7842887 DRS17 FRESNO PRADO 31 3,5845441 VILLA RICA 42 8,4173719 12,0019160 DRS18 GUAYABAL-ARMERO PRADO 31 0,2347118 VILLA RICA 42 6,3213157 6,5560275 DRS19 HERVEO PRADO 31 0,9584863 VILLA RICA 42 0,9615360 1,9200224 DRS20 HONDA PRADO 31 1,9239981 VILLA RICA 42 0,8788121 2,8028102 DRS21 IBAGUE PRADO 31 28,6915216 VILLA RICA 42 147,6234137 176,3149353 DRS22 ICONONZO PRADO 31 0,7616158 VILLA RICA 42 1,0018202 1,7634361 DRS23 LIBANO PRADO 31 0,1922401 VILLA RICA 42 19,7888871 19,9811273 DRS24 MARIQUITA PRADO 31 4,1160786 VILLA RICA 42 0,0687051 4,1847837 DRS25 MURILLO VILLA RICA 42 3,9000000 3,9000000 DRS26 NATAGAIMA PRADO 31 2,2982596 VILLA RICA 42 10,5209644 12,8192240 DRS27 ORTEGA PRADO 31 5,0055884 VILLA RICA 42 0,4647932 5,4703816 DRS28 PALOCABILDO VILLA RICA 42 3,4000000 3,4000000 DRS29 PIEDRAS VILLA RICA 42 2,7000000 2,7000000 DRS30 PLANADAS VILLA RICA 42 26,2000000 26,2000000 DRS31 PRADO PRADO 31 1,0000000 1,0000000 CRS32 PURIFICACION PRADO 31 1,3651605 VILLA RICA 42 4,3994891 5,7646495 DRS33 RIOBLANCO PRADO 31 3,2652084 VILLA RICA 42 2,4291873 5,6943957 DRS34 RONCESVALLES PRADO 31 0,7073288 VILLA RICA 42 3,7438288 4,4511576 DRS35 SALDAÑA PRADO 31 1,3268402 VILLA RICA 42 3,0409069 4,3677471 DRS36 SAN ANTONIO VILLA RICA 42 10,4000000 10,4000000 DRS37 SAN LUIS PRADO 31 0,6227048 VILLA RICA 42 6,0769599 6,6996647 DRS38 SUAREZ PRADO 31 0,3054990 0,3054990 IRS39 VALLE DE SAN JUAN VILLA RICA 42 3,1400000 3,1400000 DRS40 VENADILLO PRADO 31 0,9530576 VILLA RICA 42 2,5957369 3,5487945 DRS41 VILLA HERMOSA PRADO 31 0,6485710 VILLA RICA 42 11,7940029 12,4425738 DRS42 VILLA RICA VILLA RICA 42 1,0000000 1,0000000 CRS


Excess Excess ShortageNo. DMU Score X1j X2j Y1jS-(1) S-(2) S+(1)1 ALPUJARRA 0,394736842 1,74 0 02 ALVARADO 0,39144595 0 0 03 AMBALEMA 0,390700678 0,851 0 04 ANZOATEGUI 0,650437303 0 0 05 ATACO 0,690593835 0 0 06 CAJAMARCA 0,450289188 0 0 07 CARMEN DE APICALA 0,810526316 0,776 0 08 CASABIANCA 0,310344828 13,794 0 09 CHAPARRAL 0,569014827 0 0 010 COELLO 0,855033115 0 0 011 COYAIMA 0,890644806 0 0 012 CUNDAY 0,485835085 0 0 013 DOLORES 0,915162304 0 129,2260692 014 ESPINAL 0,396594427 9,321 0 015 FALAN 0,426952724 0 0 016 FLANDES 0,340519233 0 0 017 FRESNO 0,532911761 0 0 018 GUAYABAL-ARMERO 0,322303258 0 0 019 HERVEO 0,553901921 0 0 020 HONDA 0,980107845 0 0 021 IBAGUE 0,375250491 0 0 022 ICONONZO 0,768778307 0 0 023 LIBANO 0,398087896 0 0 024 MARIQUITA 0,703925087 0 0 025 MURILLO 0,334682861 1,511 0 026 NATAGAIMA 0,32604331 0 0 027 ORTEGA 0,756831426 0 0 028 PALOCABILDO0,53250774 4,59 0 029 PIEDRAS 0,269005848 0,115 0 030 PLANADAS 0,223784652 3,884 0 031 PRADO 1 0 0 032 PURIFICACION0,59525817 0 0 033 RIOBLANCO 0,725631998 0 0 034 RONCESVALLES0,387151831 0 0 035 SALDAÑA 0,488648033 0 0 036 SAN ANTONIO 0,388663968 5,644 0 037 SAN LUIS 0,426572261 0 0 038 SUAREZ 0,702652705 0 78,76782077 039 VALLE DE SAN 0,305062018 JUAN1,389 0 040 VENADILLO 0,713904079 0 0 041 VILLA HERMOSA0,200914994 0 0 042 VILLA RICA 1 0 0 0


No. DMU Score VX(1) X1j VX(2) X2j UY(1) Y1j1 ALPUJARRA 0,394736842 0 2,533333333 12 ALVARADO 0,39144595 1,745637367 0,808993742 13 AMBALEMA 0,390700678 0 2,559504132 14 ANZOATEGUI 0,650437303 0,820909331 0,716517867 15 ATACO 0,690593835 0,859023688 0,589005457 16 CAJAMARCA 0,450289188 1,365382702 0,855412348 17 CARMEN DE APICALA 0,810526316 0 1,233766234 18 CASABIANCA 0,310344828 0 3,222222222 19 CHAPARRAL 0,569014827 0,892753391 0,864670058 110 COELLO 0,855033115 0,406654159 0,762891186 111 COYAIMA 0,890644806 0,678028578 0,44475347 112 CUNDAY 0,485835085 1,199773974 0,858537646 113 DOLORES 0,915162304 1,09270235 0 114 ESPINAL 0,396594427 0 2,521467603 115 FALAN 0,426952724 1,535154308 0,807025387 116 FLANDES 0,340519233 2,140285049 0,796406632 117 FRESNO 0,532911761 1,085782029 0,790701233 118 GUAYABAL-ARMERO 0,322303258 2,346081689 0,7565863 119 HERVEO 0,553901921 0,876232699 0,929141071 120 HONDA 0,980107845 0,426894864 0,59340102 121 IBAGUE 0,375250491 1,759670722 0,905215865 122 ICONONZO 0,768778307 0,6682317 0,632533412 123 LIBANO 0,398087896 1,956715353 0,555292698 124 MARIQUITA 0,703925087 0,480522377 0,940083336 125 MURILLO 0,334682861 0 2,987903226 126 NATAGAIMA 0,32604331 1,991616925 1,075460271 127 ORTEGA 0,756831426 0,468431211 0,852866988 128 PALOCABILDO 0,53250774 0 1,877906977 129 PIEDRAS 0,269005848 0 3,717391304 130 PLANADAS 0,223784652 0 4,468581688 131 PRADO 1 1 0 132 PURIFICACION 0,59525817 1,030727374 0,649215967 133 RIOBLANCO 0,725631998 0,629658053 0,748450964 134 RONCESVALLES 0,387151831 1,712228039 0,870737918 135 SALDAÑA 0,488648033 1,17852979 0,867932964 136 SAN ANTONIO 0,388663968 0 2,572916667 137 SAN LUIS 0,426572261 1,664954403 0,679314299 138 SUAREZ 0,702652705 1,423178183 0 139 VALLE DE SAN JUAN 0,305062018 0 3,278021978 140 VENADILLO 0,713904079 0,833720763 0,567027641 141 VILLA HERMOSA 0,200914994 3,695673 1,281556315 142 VILLA RICA 1 0,787624898 0,212375102 1


No. DMU Score V(1) X1j V(2) X2j U(1) Y1j1 ALPUJARRA 0,394736842 0 2,11E-02 1,11E-022 ALVARADO 0,39144595 0,317388612 1,97E-03 4,88E-033 AMBALEMA 0,390700678 0 0,015702479 8,26E-034 ANZOATEGUI 0,650437303 0,304040493 1,89E-03 4,67E-035 ATACO 0,690593835 0,141753084 8,79E-04 2,18E-036 CAJAMARCA 0,450289188 0,139324766 8,64E-04 2,14E-037 CARMEN DE APICALA 0,810526316 0 1,23E-02 6,49E-038 CASABIANCA 0,310344828 0 1,11E-02 5,85E-039 CHAPARRAL 0,569014827 6,20E-02 3,84E-04 9,52E-0410 COELLO 0,855033115 0,508317699 3,15E-03 0,007812511 COYAIMA 0,890644806 0,130390111 8,09E-04 2,00E-0312 CUNDAY 0,485835085 0,461451528 2,86E-03 7,09E-0313 DOLORES 0,915162304 1,09270235 0 5,62E-0314 ESPINAL 0,396594427 0 1,48E-03 7,81E-0415 FALAN 0,426952724 0,371798089 2,31E-03 5,71E-0316 FLANDES 0,340519233 0,214028505 1,33E-03 3,29E-0317 FRESNO 0,532911761 8,23E-02 5,10E-04 1,26E-0318 GUAYABAL-ARMERO 0,322303258 0,312810892 1,94E-03 4,81E-0319 HERVEO 0,553901921 0,42805701 2,65E-03 6,58E-0320 HONDA 0,980107845 0,147205126 9,13E-04 2,26E-0321 IBAGUE 0,375250491 8,89E-03 5,51E-05 1,37E-0422 ICONONZO 0,768778307 0,351700895 2,18E-03 5,41E-0323 LIBANO 0,398087896 8,53E-02 5,29E-04 1,31E-0324 MARIQUITA 0,703925087 0,116603343 7,23E-04 1,79E-0325 MURILLO 0,334682861 0 1,53E-02 8,06E-0326 NATAGAIMA 0,32604331 0,13873063 8,60E-04 2,13E-0327 ORTEGA 0,756831426 8,60E-02 5,33E-04 1,32E-0328 PALOCABILDO0,53250774 0 0,011046512 5,81E-0329 PIEDRAS 0,269005848 0 0,027536232 1,45E-0230 PLANADAS 0,223784652 0 3,41E-03 1,80E-0331 PRADO 1 1,018329939 0 5,24E-0332 PURIFICACION0,59525817 0,161051152 9,99E-04 2,48E-0333 RIOBLANCO 0,725631998 0,104943009 6,51E-04 1,61E-0334 RONCESVALLES0,387151831 0,342445608 2,12E-03 5,26E-0335 SALDAÑA 0,488648033 0,24552704 1,52E-03 3,77E-0336 SAN ANTONIO 0,388663968 0 4,95E-03 2,60E-0337 SAN LUIS 0,426572261 0,219072948 1,36E-03 3,37E-0338 SUAREZ 0,702652705 4,743927276 0 0,02439024439 VALLE DE SAN 0,305062018 JUAN0 2,09E-02 0,01098901140 VENADILLO 0,713904079 0,212629626 1,32E-03 3,27E-0341 VILLA HERMOSA0,200914994 0,260258662 1,61E-03 0,00442 VILLA RICA 1 0,684891216 4,25E-03 1,05E-02


No. DMU 1/ScoreI/O Data Projection Difference %1 ALPUJARRA 2,533333333X1j 4,5 2,76 -1,74 -38,67%X2j 120 120 0 0,00%Y1j 90 228 138 153,33%2 ALVARADO 2,554631109X1j 5,5 5,5 0 0,00%X2j 411 411 0 0,00%Y1j 205 523,6993773 318,6993773 155,46%3 AMBALEMA 2,559504132X1j 4,6 3,749 -0,851 -18,50%X2j 163 163 0 0,00%Y1j 121 309,7 188,7 155,95%4 ANZOATEGUI 1,537427198X1j 2,7 2,7 0 0,00%X2j 380 380 0 0,00%Y1j 214 329,0094204 115,0094204 53,74%5 ATACO 1,448029145X1j 6,06 6,06 0 0,00%X2j 670 670 0 0,00%Y1j 459 664,6453776 205,6453776 44,80%6 CAJAMARCA 2,22079505X1j 9,8 9,8 0 0,00%X2j 990 990 0 0,00%Y1j 467 1037,111289 570,1112885 122,08%7 CARMEN DE APICALA 1,233766234X1j 3,076 2,3 -0,776 -25,23%X2j 100 100 0 0,00%Y1j 154 190 36 23,38%8 CASABIANCA 3,222222222X1j 20,464 6,67 -13,794 -67,41%X2j 290 290 0 0,00%Y1j 171 551 380 222,22%9 CHAPARRAL 1,757423448X1j 14,407068 14,407068 0 0,00%X2j 2250 2250 0 0,00%Y1j 1050 1845,294621 795,2946208 75,74%10 COELLO 1,169545346X1j 0,8 0,8 0 0,00%X2j 242 242 0 0,00%Y1j 128 149,7018042 21,70180425 16,95%11 COYAIMA 1,122782048X1j 5,2 5,2 0 0,00%X2j 550 550 0 0,00%Y1j 499 560,2682421 61,26824206 12,28%12 CUNDAY 2,05831162X1j 2,6 2,6 0 0,00%X2j 300 300 0 0,00%Y1j 141 290,2219384 149,2219384 105,83%13 DOLORES 1,09270235X1j 1 1 0 0,00%X2j 450 320,7739308 -129,2260692 -28,72%Y1j 178 194,5010183 16,50101833 9,27%14 ESPINAL 2,521467603X1j 48,421 39,1 -9,321 -19,25%X2j 1700 1700 0 0,00%Y1j 1281 3230 1949 152,15%15 FALAN 2,342179695


X1j 4,129 4,129 0 0,00%X2j 350 350 0 0,00%Y1j 175 409,8814466 234,8814466 134,22%16 FLANDES 2,936691681X1j 10 10 0 0,00%X2j 600 600 0 0,00%Y1j 304 892,7542711 588,7542711 193,67%17 FRESNO 1,876483261X1j 13,2 13,2 0 0,00%X2j 1550 1550 0 0,00%Y1j 791 1484,29826 693,2982596 87,65%18 GUAYABAL-ARMERO 3,102667989X1j 7,5 7,5 0 0,00%X2j 390 390 0 0,00%Y1j 208 645,3549417 437,3549417 210,27%19 HERVEO 1,80537377X1j 2,047 2,047 0 0,00%X2j 350 350 0 0,00%Y1j 152 274,416813 122,416813 80,54%20 HONDA 1,020295884X1j 2,9 2,9 0 0,00%X2j 650 650 0 0,00%Y1j 442 450,9707808 8,970780776 2,03%21 IBAGUE 2,664886587X1j 197,942 197,942 0 0,00%X2j 16419 16419 0 0,00%Y1j 7319 19504,30493 12185,30493 166,49%22 ICONONZO 1,300765111X1j 1,9 1,9 0 0,00%X2j 290 290 0 0,00%Y1j 185 240,6415456 55,64154559 30,08%23 LIBANO 2,512008051X1j 22,946 22,946 0 0,00%X2j 1050 1050 0 0,00%Y1j 763 1916,662143 1153,662143 151,20%24 MARIQUITA 1,420605714X1j 4,121 4,121 0 0,00%X2j 1300 1300 0 0,00%Y1j 558 792,6979882 234,6979882 42,06%25 MURILLO 2,987903226X1j 5,996 4,485 -1,511 -25,20%X2j 195 195 0 0,00%Y1j 124 370,5 246,5 198,79%26 NATAGAIMA 3,067077196X1j 14,356 14,356 0 0,00%X2j 1250 1250 0 0,00%Y1j 469 1438,459205 969,4592049 206,71%27 ORTEGA 1,321298199X1j 5,45 5,45 0 0,00%X2j 1600 1600 0 0,00%Y1j 757 1000,222737 243,2227367 32,13%28 PALOCABILDO1,877906977X1j 8,5 3,91 -4,59 -54,00%X2j 170 170 0 0,00%Y1j 172 323 151 87,79%29 PIEDRAS 3,717391304X1j 3,22 3,105 -0,115 -3,57%X2j 135 135 0 0,00%Y1j 69 256,5 187,5 271,74%


30 PLANADAS 4,468581688X1j 34,014 30,13 -3,884 -11,42%X2j 1310 1310 0 0,00%Y1j 557 2489 1932 346,86%31 PRADO 1X1j 0,982 0,982 0 0,00%X2j 315 315 0 0,00%Y1j 191 191 0 0,00%32 PURIFICACION1,679943342X1j 6,4 6,4 0 0,00%X2j 650 650 0 0,00%Y1j 404 678,69711 274,69711 67,99%33 RIOBLANCO 1,378109017X1j 6 6 0 0,00%X2j 1150 1150 0 0,00%Y1j 620 854,4275906 234,4275906 37,81%34 RONCESVALLES2,582965957X1j 5 5 0 0,00%X2j 410 410 0 0,00%Y1j 190 490,7635319 300,7635319 158,30%35 SALDAÑA 2,046462754X1j 4,8 4,8 0 0,00%X2j 570 570 0 0,00%Y1j 265 542,3126297 277,3126297 104,65%36 SAN ANTONIO 2,572916667X1j 17,604 11,96 -5,644 -32,06%X2j 520 520 0 0,00%Y1j 384 988 604 157,29%37 SAN LUIS 2,344268702X1j 7,6 7,6 0 0,00%X2j 500 500 0 0,00%Y1j 297 696,2478046 399,2478046 134,43%38 SUAREZ 1,423178183X1j 0,3 0,3 0 0,00%X2j 175 96,23217923 -78,76782077 -45,01%Y1j 41 58,3503055 17,3503055 42,32%39 VALLE DE SAN 3,278021978JUANX1j 5 3,611 -1,389 -27,78%X2j 157 157 0 0,00%Y1j 91 298,3 207,3 227,80%40 VENADILLO 1,400748404X1j 3,921 3,921 0 0,00%X2j 430 430 0 0,00%Y1j 306 428,6290117 122,6290117 40,07%41 VILLA HERMOSA4,977229315X1j 14,2 14,2 0 0,00%X2j 794 794 0 0,00%Y1j 250 1244,307329 994,3073288 397,72%42 VILLA RICA 1X1j 1,15 1,15 0 0,00%X2j 50 50 0 0,00%Y1j 95 95 0 0,00%


MunicipioDMUPLANADASVALLE DE SAN JUANGUAYABAL-ARMEROMURILLOIBAGUESAN ANTONIOALVARADOESPINALSAN LUISCAJAMARCASALDAÑAFRESNOCHAPARRALANZOATEGUISUAREZVENADILLOORTEGACARMEN DE APICALACOYAIMAHONDAVILLA RICA0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


MunicipioDMUVILLA HERMOSAVALLE DE SAN JUANSAN LUISSALDAÑARIOBLANCOPRADOPIEDRASORTEGAMURILLOLIBANOIBAGUEHERVEOFRESNOFALANDOLORESCOYAIMACHAPARRALCARMEN DE APICALAATACOAMBALEMAALPUJARRA0,0000000 0,1000000 0,2000000 0,3000000 0,4000000 0,5000000 0,6000000 0,7000000 0,8000000 0,9000000 1,0000000Efficiency


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O)Rank DMU Score1 VILLA RICA 11 PRADO 13 HONDA 0,9801078454 DOLORES 0,9151623045 COYAIMA 0,8906448066 COELLO 0,8550331157 CARMEN DE APICALA 0,8105263168 ICONONZO 0,7687783079 ORTEGA 0,75683142610 RIOBLANCO 0,72563199811 VENADILLO 0,71390407912 MARIQUITA 0,70392508713 SUAREZ 0,70265270514 ATACO 0,69059383515 ANZOATEGUI 0,65043730316 PURIFICACION0,5952581717 CHAPARRAL 0,56901482718 HERVEO 0,55390192119 FRESNO 0,53291176120 PALOCABILDO0,5325077421 SALDAÑA 0,48864803322 CUNDAY 0,48583508523 CAJAMARCA 0,45028918824 FALAN 0,42695272425 SAN LUIS 0,42657226126 LIBANO 0,39808789627 ESPINAL 0,39659442728 ALPUJARRA 0,39473684229 ALVARADO 0,3914459530 AMBALEMA 0,39070067831 SAN ANTONIO 0,38866396832 RONCESVALLES0,38715183133 IBAGUE 0,37525049134 FLANDES 0,34051923335 MURILLO 0,33468286136 NATAGAIMA 0,3260433137 GUAYABAL-ARMERO 0,32230325838 CASABIANCA 0,31034482839 VALLE DE SAN 0,305062018JUAN40 PIEDRAS 0,26900584841 PLANADAS 0,22378465242 VILLA HERMOSA0,200914994


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)No. DMU Score Rank 1/Score Reference set (lambda)1 ALPUJARRA 0,3947368 28 2,5333333 VILLA RICA 2,42 ALVARADO 0,3914459 29 2,5546311 PRADO 0,631167173 AMBALEMA 0,3907007 30 2,5595041 VILLA RICA 3,264 ANZOATEGUI 0,6504373 15 1,5374272 PRADO 0,964394065 ATACO 0,6905938 14 1,4480291 PRADO 1,492894786 CAJAMARCA 0,4502892 23 2,2207951 PRADO 2,070892547 CARMEN DE APICALA 0,8105263 7 1,2337662 VILLA RICA 28 CASABIANCA 0,3103448 38 3,2222222 VILLA RICA 5,89 CHAPARRAL 0,5690148 17 1,7574234 PRADO 5,9624671910 COELLO 0,8550331 6 1,1695453 PRADO 0,7609771711 COYAIMA 0,8906448 5 1,1227820 PRADO 1,1895257912 CUNDAY 0,4858351 22 2,0583116 PRADO 0,6865719313 DOLORES 0,9151623 4 1,0927024 PRADO 1,0183299414 ESPINAL 0,3965944 27 2,5214676 VILLA RICA 3415 FALAN 0,4269527 24 2,3421797 PRADO 0,626057816 FLANDES 0,3405192 34 2,9366917 PRADO 0,6067379817 FRESNO 0,5329118 19 1,8764833 PRADO 3,5845441518 GUAYABAL-ARMERO 0,3223033 37 3,1026680 PRADO 0,234711819 HERVEO 0,5539019 18 1,8053738 PRADO 0,9584863520 HONDA 0,9801078 3 1,0202959 PRADO 1,9239980821 IBAGUE 0,3752505 33 2,6648866 PRADO 28,691521622 ICONONZO 0,7687783 8 1,3007651 PRADO 0,7616158423 LIBANO 0,3980879 26 2,5120081 PRADO 0,1922401424 MARIQUITA 0,7039251 12 1,4206057 PRADO 4,1160785625 MURILLO 0,3346829 35 2,9879032 VILLA RICA 3,926 NATAGAIMA 0,3260433 36 3,0670772 PRADO 2,2982596227 ORTEGA 0,7568314 9 1,3212982 PRADO 5,0055883828 PALOCABILDO 0,5325077 20 1,8779070 VILLA RICA 3,429 PIEDRAS 0,2690058 40 3,7173913 VILLA RICA 2,730 PLANADAS 0,2237847 41 4,4685817 VILLA RICA 26,231 PRADO 1,0000000 1 1,0000000 PRADO 132 PURIFICACION 0,5952582 16 1,6799433 PRADO 1,3651604733 RIOBLANCO 0,7256320 10 1,3781090 PRADO 3,2652083734 RONCESVALLES 0,3871518 32 2,5829660 PRADO 0,7073287635 SALDAÑA 0,4886480 21 2,0464628 PRADO 1,3268401736 SAN ANTONIO 0,3886640 31 2,5729167 VILLA RICA 10,437 SAN LUIS 0,4265723 25 2,3442687 PRADO 0,6227047738 SUAREZ 0,7026527 13 1,4231782 PRADO 0,3054989839 VALLE DE SAN JUAN 0,3050620 39 3,2780220 VILLA RICA 3,1440 VENADILLO 0,7139041 11 1,4007484 PRADO 0,9530576441 VILLA HERMOSA 0,2009150 42 4,9772293 PRADO 0,6485709742 VILLA RICA 1,0000000 1 1,0000000 VILLA RICA 1


f Lambda < Infinity)VILLA RICA 4,24364681VILLA RICA 1,52431742VILLA RICA 3,99476289VILLA RICA 6,75337698VILLA RICA 7,43645671VILLA RICA 4,58E-02VILLA RICA 3,50598755VILLA RICA 1,67459684VILLA RICA 3,05583586VILLA RICA 8,17755069VILLA RICA 8,41737187VILLA RICA 6,32131566VILLA RICA 0,96153601VILLA RICA 0,87881207VILLA RICA 147,623414VILLA RICA 1,00182021VILLA RICA 19,7888871VILLA RICA 6,87E-02VILLA RICA 10,5209644VILLA RICA 0,46479323VILLA RICA 4,39948906VILLA RICA 2,42918729VILLA RICA 3,74382884VILLA RICA 3,04090691VILLA RICA 6,07695992VILLA RICA 2,59573687VILLA RICA 11,7940029


<strong>DEA</strong> model = <strong>DEA</strong>-<strong>Solver</strong> LV3.0/ CCR(CCR-O)Problem = MunicipioNo. of DMUs = 42No. of Input items = 2Input(1) = X1jInput(2) = X2jNo. of Output items = 1Output(1) = Y1jReturns to Scale = Constant (0 =< Sum of Lambda < Infinity)Statistics on Input/Output DataX1j X2j Y1jMax 197,942 16419 7319Min 0,3 50 41Average 12,86443019 998,7142857 508,0238095SD 30,32108936 2460,585154 1097,325309CorrelationX1j X2j Y1jX1j 1 0,968452328 0,974254075X2j 0,968452328 1 0,99548521Y1j 0,974254075 0,99548521 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 42Average 0,547176522SD 0,223479749Maximum 1Minimum 0,200914994Frequency in Reference SetReference Frequency to other DMUsPRADO 29VILLA RICA 38No. of DMUs in Data = 42No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 42Average of scores = 0,547176522No. of efficient DMUs = 2No. of inefficient DMUs = 40No. of over iteration DMUs = 0[CCR-O] LP started at 07-10-2008 10:14:03 and completed at 07-10-2008 10:14:03Elapsed time = 1 secondsTotal number of simplex iterations = 197


Municipio (I) X1j (I) X2j (O) Y1jALPUJARRA 4,500000 120 90ALVARADO 5,500000 411 205AMBALEMA 4,600000 163 121ANZOATEGUI 2,700000 380 214ATACO 6,060000 670 459CAJAMARCA 9,800000 990 467CARMEN DE APICALA 3,076000 100 154CASABIANCA 20,464000 290 171CHAPARRAL 14,407068 2250 1050COELLO 0,800000 242 128COYAIMA 5,200000 550 499CUNDAY 2,600000 300 141DOLORES 1,000000 450 178ESPINAL 48,421000 1700 1281FALAN 4,129000 350 175FLANDES 10,000000 600 304FRESNO 13,200000 1550 791GUAYABAL-ARMERO 7,500000 390 208HERVEO 2,047000 350 152HONDA 2,900000 650 442IBAGUE 197,942000 16419 7319ICONONZO 1,900000 290 185LIBANO 22,946000 1050 763MARIQUITA 4,121000 1300 558MURILLO 5,996000 195 124NATAGAIMA 14,356000 1250 469ORTEGA 5,450000 1600 757PALOCABILDO 8,500000 170 172PIEDRAS 3,220000 135 69PLANADAS 34,014000 1310 557PRADO 0,982000 315 191PURIFICACION 6,400000 650 404RIOBLANCO 6,000000 1150 620RONCESVALLES 5,000000 410 190SALDAÑA 4,800000 570 265SAN ANTONIO 17,604000 520 384SAN LUIS 7,600000 500 297SUAREZ 0,300000 175 41VALLE DE SAN JUAN 5,000000 157 91VENADILLO 3,921000 430 306VILLA HERMOSA 14,200000 794 250VILLA RICA 1,150000 50 95


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O)No. DMU Score RTS RTS of Projected DMU RTS Efficient Projected Total1 ALPUJARRA 0,953054063 Increasing No. of IRS 3 24 272 ALVARADO 0,784594891 Increasing No. of CRS 3 0 33 AMBALEMA 0,782471527 Increasing No. of DRS 1 11 124 ANZOATEGUI 0,937408368 Increasing Total 7 35 425 ATACO 0,87740931 Decreasing6 CAJAMARCA 0,729762206 Increasing7 CARMEN DE APICALA 0,825448233 Increasing8 CASABIANCA 0,855561896 Increasing9 CHAPARRAL 1 Constant10 COELLO 0,9071508 Increasing11 CUNDAY 0,645665971 Increasing12 DOLORES 0,962125828 Increasing13 ESPINAL 0,833618483 Decreasing14 FALAN 0,755512555 Increasing15 FLANDES 0,649774484 Increasing16 FRESNO 0,766659137 Decreasing17 GUAMO 0,729302215 Decreasing18 GUAYABAL-ARMERO 0,684825261 Increasing19 HERVEO 0,977963813 Increasing20 HONDA 0,664914114 Increasing21 IBAGUE 1 Decreasing22 LERIDA 0,701411159 Increasing23 LIBANO 0,705989568 Decreasing24 MELGAR 0,685538992 Decreasing25 MURILLO 1 Increasing26 NATAGAIMA 0,687673128 Decreasing27 ORTEGA 0,793045198 Decreasing28 PALOCABILDO1 Constant29 PIEDRAS 1 Increasing30 PLANADAS 0,785898677 Decreasing31 PRADO 0,837346339 Increasing32 PURIFICACION0,890719657 Decreasing33 RIOBLANCO 0,801842837 Decreasing34 RONCESVALLES 0,613034477 Increasing35 ROVIRA 1 Constant36 SALDAÑA 0,553050576 Increasing37 SAN ANTONIO 0,675701731 Increasing38 SANTA ISABEL0,850305845 Increasing39 SUAREZ 0,79193731 Increasing40 VALLE DE SAN 1JUANIncreasing41 VENADILLO 0,724861977 Increasing42 VILLA HERMOSA 0,630833347 Increasing


<strong>Workbook</strong> <strong>Name</strong> = C:\Documents and Settings\FRANCISCO\Mis documentos\Análisis Envolvente de Datos <strong>DEA</strong> Trabajo d<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)Excess Excess ShortageNo. DMU Score X1j X2j Y1jS-(1) S-(2) S+(1)1 ALPUJARRA 0,953054063 0 0 02 ALVARADO 0,784594891 0 4,153181079 03 AMBALEMA 0,782471527 0 4,210494567 04 ANZOATEGUI 0,937408368 0 0 05 ATACO 0,87740931 0 0 06 CAJAMARCA 0,729762206 0 0 07 CARMEN DE APICALA 0,825448233 0 0 08 CASABIANCA 0,855561896 0 6,619247603 09 CHAPARRAL 1 0 0 010 COELLO 0,9071508 0 8,824576114 011 CUNDAY 0,645665971 0 0 012 DOLORES 0,962125828 0 0 013 ESPINAL 0,833618483 0 0 014 FALAN 0,755512555 0 0 015 FLANDES 0,649774484 0 8,54354235 016 FRESNO 0,766659137 0 0 017 GUAMO 0,729302215 0 0 018 GUAYABAL-ARMERO 0,684825261 0 3,509228068 019 HERVEO 0,977963813 0 0 020 HONDA 0,664914114 0 22,88190503 021 IBAGUE 1 0 0 022 LERIDA 0,701411159 0 0 023 LIBANO 0,705989568 0 0 024 MELGAR 0,685538992 0 0 025 MURILLO 1 0 0 026 NATAGAIMA 0,687673128 0 0 027 ORTEGA 0,793045198 0 0 028 PALOCABILDO1 0 0 029 PIEDRAS 1 0 1,15E-03 030 PLANADAS 0,785898677 0 0 031 PRADO 0,837346339 0 8,09341616 032 PURIFICACION0,890719657 0 0 033 RIOBLANCO 0,801842837 0 0 034 RONCESVALLES0,613034477 0 3,514236885 035 ROVIRA 1 0 0 036 SALDAÑA 0,553050576 0 0 037 SAN ANTONIO 0,675701731 0 4,685769751 038 SANTA ISABEL0,850305845 0 2,780856109 039 SUAREZ 0,79193731 0 0 040 VALLE DE SAN 1JUAN0 0 041 VENADILLO 0,724861977 0 1,765460186 042 VILLA HERMOSA0,630833347 0 0 0


of Lambda = 1)is Envolvente de Datos <strong>DEA</strong> Trabajo de Grado Maestría\Trabajo de grado-Maestría Chediak-Salud Cobertura Régimen Subsidiado-BC


ud Cobertura Régimen Subsidiado-<strong>BCC</strong>-O.xlsx


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU Score VX(0) VX(1) X1j VX(2) X2j UY(1) Y1j1 ALPUJARRA 0,953054063 -5,972295165 6,922715275 9,88E-02 12 ALVARADO 0,784594891 -0,318973621 1,593516715 0 13 AMBALEMA 0,782471527 -0,243627232 1,521629006 0 14 ANZOATEGUI 0,937408368 -0,316832994 1,280545193 0,103058734 15 ATACO 0,87740931 2,48E-02 0,761803819 0,353117414 16 CAJAMARCA 0,729762206 -0,168132014 1,303718957 0,234722441 17 CARMEN DE APICALA 0,825448233 -0,368865523 1,244374004 0,335954527 18 CASABIANCA 0,855561896 -0,317558477 1,486380984 0 19 CHAPARRAL 1 0 1 0 110 COELLO 0,9071508 -0,183846782 1,286199336 0 111 CUNDAY 0,645665971 -0,289964118 1,48303563 0,35571694 112 DOLORES 0,962125828 -0,398081013 1,252464805 0,1849813 113 ESPINAL 0,833618483 9,09E-02 0,878062087 0,230600627 114 FALAN 0,755512555 -0,429195605 1,393808873 0,358991473 115 FLANDES 0,649774484 -0,124743257 1,663738746 0 116 FRESNO 0,766659137 0,172134474 0,960785252 0,171440911 117 GUAMO 0,729302215 0,141597069 0,991165917 0,238410692 118 GUAYABAL-ARMERO 0,684825261 -0,15873229 1,6189588 0 119 HERVEO 0,977963813 -0,42759934 1,284815367 0,165316695 120 HONDA 0,664914114 -0,10662018 1,610573816 0 121 IBAGUE 1 3,09E-03 0,76211664 0,234797289 122 LERIDA 0,701411159 -0,253938758 1,448330681 0,231305382 123 LIBANO 0,705989568 0,163308012 0,932349875 0,320793637 124 MELGAR 0,685538992 0,136575115 0,962826278 0,35930484 125 MURILLO 1 -3,322380119 3,033992751 1,288420592 126 NATAGAIMA 0,687673128 0,156331617 0,946888128 0,350959515 127 ORTEGA 0,793045198 9,93E-02 0,960206384 0,201437078 128 PALOCABILDO1 0 0,866560023 0,133439977 129 PIEDRAS 1 -4,730390308 5,730437612 0 130 PLANADAS 0,785898677 0,117993899 0,880243372 0,274191388 131 PRADO 0,837346339 -0,1746081 1,368857066 0 132 PURIFICACION0,890719657 0,11164797 0,716112762 0,294926966 133 RIOBLANCO 0,801842837 0,132494107 0,949179263 0,165453815 134 RONCESVALLES0,613034477 -0,271539001 1,902768627 0 135 ROVIRA 1 0 0,888705102 0,111294898 136 SALDAÑA 0,553050576 -0,229740522 1,666381107 0,371512312 137 SAN ANTONIO 0,675701731 -0,131094653 1,611037585 0 138 SANTA ISABEL0,850305845 -0,281064191 1,457111616 0 139 SUAREZ 0,79193731 -0,567231687 1,471485474 0,358472426 140 VALLE DE SAN 1JUAN-0,280770191 1,280772999 0 141 VENADILLO 0,724861977 -0,158427801 1,538000784 0 142 VILLA HERMOSA0,630833347 -0,246080757 1,644536001 0,186749478 1


0,953054060,784594890,782471530,93740837


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU Score V(0) V(1) X1j V(2) X2j U(1) Y1j1 ALPUJARRA 0,953054063 -5,972354889 1,16E-02 0,010982034 3,45E-042 ALVARADO 0,784594891 -0,318976811 2,35E-03 0 2,97E-043 AMBALEMA 0,782471527 -0,243629668 1,79E-03 0 2,27E-044 ANZOATEGUI 0,937408368 -0,316836162 1,16E-03 2,94E-02 1,72E-045 ATACO 0,87740931 2,48E-02 3,04E-04 5,94E-02 7,88E-056 CAJAMARCA 0,729762206 -0,168133695 6,17E-04 1,56E-02 9,14E-057 CARMEN DE APICALA 0,825448233 -0,368869211 1,35E-03 3,43E-02 2,01E-048 CASABIANCA 0,855561896 -0,317561652 2,34E-03 0 2,96E-049 CHAPARRAL 1 0 3,43E-04 0 4,56E-0510 COELLO 0,9071508 -0,183848621 1,35E-03 0 1,71E-0411 CUNDAY 0,645665971 -0,289967017 1,06E-03 2,69E-02 1,58E-0412 DOLORES 0,962125828 -0,398084994 1,46E-03 3,70E-02 2,16E-0413 ESPINAL 0,833618483 0,090926811 1,81E-04 0,010631656 3,98E-0514 FALAN 0,755512555 -0,429199897 1,57E-03 3,99E-02 2,33E-0415 FLANDES 0,649774484 -0,124744504 9,17E-04 0 1,16E-0416 FRESNO 0,766659137 0,172134474 3,42E-04 2,01E-02 7,54E-0517 GUAMO 0,729302215 0,141597069 2,81E-04 1,66E-02 6,20E-0518 GUAYABAL-ARMERO 0,684825261 -0,158733877 1,17E-03 0 1,48E-0419 HERVEO 0,977963813 -0,427603616 1,57E-03 0,03973959 2,32E-0420 HONDA 0,664914114 -0,106621246 7,84E-04 0 9,93E-0521 IBAGUE 1 3,09E-03 3,79E-05 7,40E-03 022 LERIDA 0,701411159 -0,253941297 9,31E-04 2,36E-02 1,38E-0423 LIBANO 0,705989568 0,163308012 3,24E-04 1,91E-02 7,15E-0524 MELGAR 0,685538992 0,136575115 2,71E-04 0,015969104 5,98E-0525 MURILLO 1 -3,322413343 5,13E-03 0,173174811 3,55E-0426 NATAGAIMA 0,687673128 0,156331617 3,11E-04 1,83E-02 6,85E-0527 ORTEGA 0,793045198 9,93E-02 1,97E-04 1,16E-02 4,35E-0528 PALOCABILDO1 0 9,24E-04 0,142411928 2,15E-0429 PIEDRAS 1 -4,730437612 9,76E-03 0 3,47E-0430 PLANADAS 0,785898677 0,117993899 2,34E-04 1,38E-02 5,17E-0531 PRADO 0,837346339 -0,174609847 1,28E-03 0 1,63E-0432 PURIFICACION0,890719657 0,11164797 2,22E-04 1,31E-02 4,89E-0533 RIOBLANCO 0,801842837 0,132494107 2,63E-04 1,55E-02 5,80E-0534 RONCESVALLES0,613034477 -0,271541716 2,00E-03 0 2,53E-0435 ROVIRA 1 0 3,87E-04 1,55E-02 6,83E-0536 SALDAÑA 0,553050576 -0,22974282 8,43E-04 0,021351282 1,25E-0437 SAN ANTONIO 0,675701731 -0,131095964 9,64E-04 0 1,22E-0438 SANTA ISABEL0,850305845 -0,281067002 2,07E-03 0 2,62E-0439 SUAREZ 0,79193731 -0,56723736 2,08E-03 5,27E-02 3,08E-0440 VALLE DE SAN 1JUAN-0,280772999 2,06E-03 0 2,62E-0441 VENADILLO 0,724861977 -0,158429386 1,17E-03 0 1,48E-0442 VILLA HERMOSA0,630833347 -0,246083218 1,01E-03 3,11E-02 1,57E-04


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU 1/ScoreI/O Data Projection Difference %1 ALPUJARRA 1,049258419X1j 596,806 596,806 0 0,00%X2j 9 9 0 0,00%Y1j 2901 3043,898675 142,898675 4,93%2 ALVARADO 1,274543094X1j 679,36 679,36 0 0,00%X2j 13,2 9,046818921 -4,153181079 -31,46%Y1j 3366 4290,112054 924,1120538 27,45%3 AMBALEMA 1,278001775X1j 849,339 849,339 0 0,00%X2j 14,4 10,18950543 -4,210494567 -29,24%Y1j 4407 5632,153822 1225,153822 27,80%4 ANZOATEGUI 1,066770933X1j 1102,102 1102,102 0 0,00%X2j 3,5 3,5 0 0,00%Y1j 5806 6193,672039 387,672039 6,68%5 ATACO 1,13971893X1j 2502,673 2502,673 0 0,00%X2j 5,94 5,94 0 0,00%Y1j 12697 14471,01125 1774,011253 13,97%6 CAJAMARCA 1,370309385X1j 2114,418 2114,418 0 0,00%X2j 15,021657 15,021657 0 0,00%Y1j 10941 14992,55498 4051,554976 37,03%7 CARMEN DE APICALA 1,211463009X1j 919,899 919,899 0 0,00%X2j 9,8 9,8 0 0,00%Y1j 4987 6041,566024 1054,566024 21,15%8 CASABIANCA 1,168822507X1j 636,509 636,509 0 0,00%X2j 15,378 8,758752397 -6,619247603 -43,04%Y1j 3381 3951,788897 570,7888974 16,88%9 CHAPARRAL 1X1j 2911,677 2911,677 0 0,00%X2j 24,05365 24,05365 0 0,00%Y1j 21915 21915 0 0,00%10 COELLO 1,102352553X1j 951,372 951,372 0 0,00%X2j 19,7 10,87542389 -8,824576114 -44,79%Y1j 5840 6437,73891 597,7389099 10,24%11 CUNDAY 1,548788453X1j 1394,648 1394,648 0 0,00%X2j 13,2 13,2 0 0,00%Y1j 6344 9825,513945 3481,513945 54,88%12 DOLORES 1,039365092X1j 857,929 857,929 0 0,00%X2j 5 5 0 0,00%Y1j 4621 4802,90609 181,9060897 3,94%13 ESPINAL 1,199589525X1j 4860,853 4860,853 0 0,00%X2j 21,69 21,69 0 0,00%Y1j 25114 30126,49133 5012,491333 19,96%14 FALAN 1,323604742X1j 885,534 885,534 0 0,00%X2j 9 9 0 0,00%


Y1j 4286 5672,969924 1386,969924 32,36%15 FLANDES 1,53899549X1j 1813,703 1813,703 0 0,00%X2j 25,216 16,67245765 -8,54354235 -33,88%Y1j 8607 13246,13418 4639,134181 53,90%16 FRESNO 1,304360636X1j 2809,556 2809,556 0 0,00%X2j 8,518 8,518 0 0,00%Y1j 13266 17303,6482 4037,648197 30,44%17 GUAMO 1,371173678X1j 3523,476 3523,476 0 0,00%X2j 14,4 14,4 0 0,00%Y1j 16127 22112,9179 5985,917903 37,12%18 GUAYABAL-ARMERO 1,46022651X1j 1386,975 1386,975 0 0,00%X2j 17,313 13,80377193 -3,509228068 -20,27%Y1j 6764 9876,972111 3112,972111 46,02%19 HERVEO 1,022532722X1j 819,334 819,334 0 0,00%X2j 4,16 4,16 0 0,00%Y1j 4302 4398,935771 96,93577053 2,25%20 HONDA 1,503953636X1j 2054,184 2054,184 0 0,00%X2j 41,171 18,28909497 -22,88190503 -55,58%Y1j 10070 15144,81311 5074,813114 50,40%21 IBAGUE 1X1j 20118,143 20118,143 0 0,00%X2j 31,737 31,737 0 0,00%Y1j 102025 102025 0 0,00%22 LERIDA 1,425697306X1j 1555,235 1555,235 0 0,00%X2j 9,801 9,801 0 0,00%Y1j 7244 10327,75128 3083,751283 42,57%23 LIBANO 1,416451524X1j 2873,761 2873,761 0 0,00%X2j 16,8 16,8 0 0,00%Y1j 13983 19806,24166 5823,241665 41,65%24 MELGAR 1,458706232X1j 3548,588 3548,588 0 0,00%X2j 22,5 22,5 0 0,00%Y1j 16720 24389,5682 7669,568204 45,87%25 MURILLO 1X1j 591,575 591,575 0 0,00%X2j 7,44 7,44 0 0,00%Y1j 2818 2818 0 0,00%26 NATAGAIMA 1,45417926X1j 3048,815 3048,815 0 0,00%X2j 19,2 19,2 0 0,00%Y1j 14607 21241,19644 6634,196444 45,42%27 ORTEGA 1,260962178X1j 4866,455 4866,455 0 0,00%X2j 17,346 17,346 0 0,00%Y1j 22992 28992,04241 6000,042408 26,10%28 PALOCABILDO1X1j 937,638 937,638 0 0,00%X2j 0,937 0,937 0 0,00%Y1j 4646 4646 0 0,00%29 PIEDRAS 1X1j 587,03 587,03 0 0,00%


X2j 14,375 14,37384687 -1,15E-03 -0,01%Y1j 2886 2886 0 0,00%30 PLANADAS 1,272428659X1j 3755,108 3755,108 0 0,00%X2j 19,874 19,874 0 0,00%Y1j 19353 24625,31185 5272,311846 27,24%31 PRADO 1,194248966X1j 1066,085 1066,085 0 0,00%X2j 19,74 11,64658384 -8,09341616 -41,00%Y1j 6149 7343,436892 1194,436892 19,42%32 PURIFICACION1,122687697X1j 3228,567 3228,567 0 0,00%X2j 22,592 22,592 0 0,00%Y1j 20453 22962,33147 2509,331469 12,27%33 RIOBLANCO 1,247127185X1j 3606,043 3606,043 0 0,00%X2j 10,68 10,68 0 0,00%Y1j 17235 21494,23703 4259,237034 24,71%34 RONCESVALLES1,631229626X1j 952,91 952,91 0 0,00%X2j 14,4 10,88576312 -3,514236885 -24,40%Y1j 3954 6449,881941 2495,881941 63,12%35 ROVIRA 1X1j 2297,995 2297,995 0 0,00%X2j 7,2 7,2 0 0,00%Y1j 14631 14631 0 0,00%36 SALDAÑA 1,808152896X1j 1977,853 1977,853 0 0,00%X2j 17,4 17,4 0 0,00%Y1j 8007 14477,88024 6470,880241 80,82%37 SAN ANTONIO 1,479942932X1j 1671,163 1671,163 0 0,00%X2j 20,4 15,71423025 -4,685769751 -22,97%Y1j 8190 12120,73261 3930,73261 47,99%38 SANTA ISABEL1,176047425X1j 704,994 704,994 0 0,00%X2j 12 9,219143891 -2,780856109 -23,17%Y1j 3820 4492,501165 672,5011647 17,60%39 SUAREZ 1,262726212X1j 707,38 707,38 0 0,00%X2j 6,8 6,8 0 0,00%Y1j 3243 4095,021107 852,0211067 26,27%40 VALLE DE SAN 1JUANX1j 620,325 620,325 0 0,00%X2j 8,65 8,65 0 0,00%Y1j 3824 3824 0 0,00%41 VENADILLO 1,379572983X1j 1320,15 1320,15 0 0,00%X2j 15,12 13,35453981 -1,765460186 -11,68%Y1j 6777 9349,366106 2572,366106 37,96%42 VILLA HERMOSA1,585204722X1j 1628,736 1628,736 0 0,00%X2j 6 6 0 0,00%Y1j 6366 10091,41326 3725,413259 58,52%


Lambda = 1)


MunicipioDMURONCESVALLESCUNDAYHONDAGUAYABAL-ARMERONATAGAIMALIBANOGUAMOFALANAMBALEMAPLANADASORTEGACARMEN DE APICALAPRADOCASABIANCAPURIFICACIONANZOATEGUIDOLORESCHAPARRALMURILLOPIEDRASVALLE DE SAN JUAN0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


MunicipioDMUVENADILLOSUAREZSAN ANTONIOROVIRARIOBLANCOPRADOPIEDRASORTEGAMURILLOLIBANOIBAGUEHERVEOGUAMOFLANDESESPINALCUNDAYCHAPARRALCARMEN DE APICALAATACOAMBALEMAALPUJARRA0,0000000 0,1000000 0,2000000 0,3000000 0,4000000 0,5000000 0,6000000 0,7000000 0,8000000 0,9000000 1,0000000Efficiency


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O)Rank DMU Score1 VALLE DE SAN 1 JUAN1 ROVIRA 11 PIEDRAS 11 PALOCABILDO11 MURILLO 11 IBAGUE 11 CHAPARRAL 18 HERVEO 0,9779638139 DOLORES 0,96212582810 ALPUJARRA 0,95305406311 ANZOATEGUI 0,93740836812 COELLO 0,907150813 PURIFICACION0,89071965714 ATACO 0,8774093115 CASABIANCA 0,85556189616 SANTA ISABEL0,85030584517 PRADO 0,83734633918 ESPINAL 0,83361848319 CARMEN DE APICALA 0,82544823320 RIOBLANCO 0,80184283721 ORTEGA 0,79304519822 SUAREZ 0,7919373123 PLANADAS 0,78589867724 ALVARADO 0,78459489125 AMBALEMA 0,78247152726 FRESNO 0,76665913727 FALAN 0,75551255528 CAJAMARCA 0,72976220629 GUAMO 0,72930221530 VENADILLO 0,72486197731 LIBANO 0,70598956832 LERIDA 0,70141115933 NATAGAIMA 0,68767312834 MELGAR 0,68553899235 GUAYABAL-ARMERO 0,68482526136 SAN ANTONIO 0,67570173137 HONDA 0,66491411438 FLANDES 0,64977448439 CUNDAY 0,64566597140 VILLA HERMOSA0,63083334741 RONCESVALLES0,61303447742 SALDAÑA 0,5530505760,81077176


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ <strong>BCC</strong>(<strong>BCC</strong>-O) Returns to Scale = Variable (Sum of Lambda = 1)No. DMU Score Rank 1/Score Reference set (lambda)1 ALPUJARRA 0,9530541 10 1,0492584 MURILLO 0,600127935 PIEDRAS 0,187989747 VALLE DE SAN JUAN 0,2118723182 ALVARADO 0,7845949 24 1,2745431 CHAPARRAL 2,58E-02 VALLE DE SAN JUAN 0,9742230283 AMBALEMA 0,7824715 25 1,2780018 CHAPARRAL 9,99E-02 VALLE DE SAN JUAN 0,9000401874 ANZOATEGUI 0,9374084 11 1,0667709 CHAPARRAL 9,23E-02 PALOCABILDO 0,851979282 VALLE DE SAN JUAN 5,57E-025 ATACO 0,8774093 14 1,1397189 IBAGUE 3,83E-02 PALOCABILDO 0,351221972 ROVIRA 0,6104806326 CAJAMARCA 0,7297622 28 1,3703094 CHAPARRAL 0,600409485 PALOCABILDO 0,372974726 VALLE DE SAN JUAN 2,66E-027 CARMEN DE APICALA 0,8254482 19 1,2114630 CHAPARRAL 0,118594136 PALOCABILDO 8,77E-02 VALLE DE SAN JUAN 0,7936613818 CASABIANCA 0,8555619 15 1,1688225 CHAPARRAL 7,07E-03 VALLE DE SAN JUAN 0,9929242149 CHAPARRAL 1,0000000 1 1,0000000 CHAPARRAL 110 COELLO 0,9071508 12 1,1023526 CHAPARRAL 0,144479418 VALLE DE SAN JUAN 0,85551058211 CUNDAY 0,6456660 39 1,5487885 CHAPARRAL 0,328718165 PALOCABILDO 6,66E-02 VALLE DE SAN JUAN 0,60471238312 DOLORES 0,9621258 9 1,0393651 CHAPARRAL 2,99E-02 PALOCABILDO 0,532924675 VALLE DE SAN JUAN 0,43716757213 ESPINAL 0,8336185 18 1,1995895 CHAPARRAL 0,684700682 IBAGUE 0,120238593 ROVIRA 0,19506072514 FALAN 0,7555126 27 1,3236047 CHAPARRAL 9,56E-02 PALOCABILDO 0,145521661 VALLE DE SAN JUAN 0,75887443215 FLANDES 0,6497745 38 1,5389955 CHAPARRAL 0,520820984 VALLE DE SAN JUAN 0,47916901616 FRESNO 0,7666591 26 1,3043606 CHAPARRAL 0,038330455 IBAGUE 2,74E-02 ROVIRA 0,93428266317 GUAMO 0,7293022 29 1,3711737 CHAPARRAL 0,34435152 IBAGUE 5,69E-02 ROVIRA 0,59873769218 GUAYABAL-ARMERO 0,6848253 35 1,4602265 CHAPARRAL 0,334586831 VALLE DE SAN JUAN 0,66540316919 HERVEO 0,9779638 8 1,0225327 CHAPARRAL 4,89E-03 PALOCABILDO 0,591886299 VALLE DE SAN JUAN 0,4032148920 HONDA 0,6649141 37 1,5039536 CHAPARRAL 0,625772558 VALLE DE SAN JUAN 0,37421744221 IBAGUE 1,0000000 1 1,0000000 IBAGUE 122 LERIDA 0,7014112 32 1,4256973 CHAPARRAL 0,335812744 PALOCABILDO 0,521412612 VALLE DE SAN JUAN 0,14276464423 LIBANO 0,7059896 31 1,4164515 CHAPARRAL 0,550153214 IBAGUE 1,34E-02 ROVIRA 0,43648287524 MELGAR 0,6855390 34 1,4587062 CHAPARRAL 0,848167867 IBAGUE 4,10E-02 ROVIRA 0,11086234825 MURILLO 1,0000000 1 1,0000000 MURILLO 126 NATAGAIMA 0,6876731 33 1,4541793 CHAPARRAL 0,685015492 IBAGUE 1,85E-02 ROVIRA 0,29644154627 ORTEGA 0,7930452 21 1,2609622 CHAPARRAL 0,412865652 IBAGUE 0,129914285 ROVIRA 0,45722006328 PALOCABILDO 1,0000000 1 1,0000000 PALOCABILDO 129 PIEDRAS 1,0000000 1 1,0000000 PIEDRAS 130 PLANADAS 0,7858987 23 1,2724287 CHAPARRAL 0,666368568 IBAGUE 5,88E-02 ROVIRA 0,27481179731 PRADO 0,8373463 17 1,1942490 CHAPARRAL 0,194542874 VALLE DE SAN JUAN 0,80544712632 PURIFICACION 0,8907197 13 1,1226877 CHAPARRAL 0,881440165 IBAGUE 2,19E-02 ROVIRA 9,67E-0233 RIOBLANCO 0,8018428 20 1,2471272 CHAPARRAL 0,104875545 IBAGUE 6,98E-02 ROVIRA 0,82533335334 RONCESVALLES 0,6130345 41 1,6312296 CHAPARRAL 0,145150637 VALLE DE SAN JUAN 0,85483936335 ROVIRA 1,0000000 1 1,0000000 ROVIRA 136 SALDAÑA 0,5530506 42 1,8081529 CHAPARRAL 0,587172172 PALOCABILDO 3,82E-02 VALLE DE SAN JUAN 0,37463448337 SAN ANTONIO 0,6757017 36 1,4799429 CHAPARRAL 0,45861317 VALLE DE SAN JUAN 0,5413768338 SANTA ISABEL 0,8503058 16 1,1760474 CHAPARRAL 3,70E-02 VALLE DE SAN JUAN 0,96303574639 SUAREZ 0,7919373 22 1,2627262 CHAPARRAL 3,75E-03 PALOCABILDO 0,247323662 VALLE DE SAN JUAN 0,74892086840 VALLE DE SAN JUAN 1,0000000 1 1,0000000 VALLE DE SAN JUAN 141 VENADILLO 0,7248620 30 1,3795730 CHAPARRAL 0,305422826 VALLE DE SAN JUAN 0,69456717442 VILLA HERMOSA 0,6308333 40 1,5852047 CHAPARRAL 0,134099931 PALOCABILDO 0,552451109 ROVIRA 0,31343896


<strong>DEA</strong> model = <strong>DEA</strong>-<strong>Solver</strong> LV3.0/ <strong>BCC</strong>(<strong>BCC</strong>-O)Problem = MunicipioNo. of DMUs = 42No. of Input items = 2Input(1) = X1jInput(2) = X2jNo. of Output items = 1Output(1) = Y1jReturns to Scale = Variable (Sum of Lambda = 1)Statistics on Input/Output DataX1j X2j Y1jMax 20118,143 41,171 102025Min 587,03 0,937 2818Average 2269,878476 14,53936445 11563,45238SD 3028,145896 7,831717513 15435,19854CorrelationX1j X2j Y1jX1j 1 0,461640451 0,994982363X2j 0,461640451 1 0,473988113Y1j 0,994982363 0,473988113 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 42Average 0,810771761SD 0,128322078Maximum 1Minimum 0,553050576Frequency in Reference SetReferenceFrequency to other DMUsCHAPARRAL 33IBAGUE 11MURILLO 1PALOCABILDO 12PIEDRAS 1ROVIRA 12VALLE DE SAN JUAN 23No. of DMUs in Data = 42No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 42Average of scores = 0,810771761No. of efficient DMUs = 7No. of inefficient DMUs = 35No. of over iteration DMUs = 0[<strong>BCC</strong>-O] LP started at 07-07-2008 10:34:59 and completed at 07-07-2008 10:35:00Elapsed time = 0 secondsTotal number of simplex iterations = 252


Municipio (I) X1j (I) X2j (O) Y1jALPUJARRA 596,806 9,000000 2901ALVARADO 679,360 13,200000 3366AMBALEMA 849,339 14,400000 4407ANZOATEGUI 1102,102 3,500000 5806ATACO 2502,673 5,940000 12697CAJAMARCA 2114,418 15,021657 10941CARMEN DE APICALA 919,899 9,800000 4987CASABIANCA 636,509 15,378000 3381CHAPARRAL 2911,677 24,053650 21915COELLO 951,372 19,700000 5840CUNDAY 1394,648 13,200000 6344DOLORES 857,929 5,000000 4621ESPINAL 4860,853 21,690000 25114FALAN 885,534 9,000000 4286FLANDES 1813,703 25,216000 8607FRESNO 2809,556 8,518000 13266GUAMO 3523,476 14,400000 16127GUAYABAL-ARMERO 1386,975 17,313000 6764HERVEO 819,334 4,160000 4302HONDA 2054,184 41,171000 10070IBAGUE 20118,143 31,737000 102025LERIDA 1555,235 9,801000 7244LIBANO 2873,761 16,800000 13983MELGAR 3548,588 22,500000 16720MURILLO 591,575 7,440000 2818NATAGAIMA 3048,815 19,200000 14607ORTEGA 4866,455 17,346000 22992PALOCABILDO 937,638 0,937000 4646PIEDRAS 587,030 14,375000 2886PLANADAS 3755,108 19,874000 19353PRADO 1066,085 19,740000 6149PURIFICACION 3228,567 22,592000 20453RIOBLANCO 3606,043 10,680000 17235RONCESVALLES 952,910 14,400000 3954ROVIRA 2297,995 7,200000 14631SALDAÑA 1977,853 17,400000 8007SAN ANTONIO 1671,163 20,400000 8190SANTA ISABEL 704,994 12,000000 3820SUAREZ 707,380 6,800000 3243VALLE DE SAN JUAN 620,325 8,650000 3824VENADILLO 1320,150 15,120000 6777VILLA HERMOSA 1628,736 6,000000 636695335 611 4856655 795120000100000800006000040000200000120000100000800006000040000200000504030201000 5000 10000 15000 20000 250000 10 20 30 40 500 5000 10000 15000 20000 25000


1 ALPUJARRA 25 0,60012793 29 0,18798975 40 0,211872322 ALVARADO 9 0,02576697 40 0,974223033 AMBALEMA 9 0,09994981 40 0,900040194 ANZOATEGUI 9 0,09227701 28 0,85197928 40 0,055733715 ATACO 21 0,03829740 28 0,35122197 35 0,610480636 CAJAMARCA 9 0,60040948 28 0,37297473 40 0,026605797 CARMEN DE APICALA 9 0,11859414 28 0,08773448 40 0,793661388 CASABIANCA 9 0,00706579 40 0,992924219 CHAPARRAL 9 1,0000000010 COELLO 9 0,14447942 40 0,8555105811 CUNDAY 9 0,32871816 28 0,06655945 40 0,6047123812 DOLORES 9 0,02989775 28 0,53292468 40 0,4371675713 ESPINAL 9 0,68470068 21 0,12023859 35 0,1950607314 FALAN 9 0,09559391 28 0,14552166 40 0,7588744315 FLANDES 9 0,52082098 40 0,4791690216 FRESNO 9 0,03833046 21 0,02738688 35 0,9342826617 GUAMO 9 0,34435152 21 0,05691079 35 0,5987376918 GUAYABAL-ARMERO 9 0,33458683 40 0,6654031719 HERVEO 9 0,00488881 28 0,59188630 40 0,4032148920 HONDA 9 0,62577256 40 0,3742174421 IBAGUE 21 1,0000000022 LERIDA 9 0,33581274 28 0,52141261 40 0,1427646423 LIBANO 9 0,55015321 21 0,01336391 35 0,4364828824 MELGAR 9 0,84816787 21 0,04096979 35 0,1108623525 MURILLO 25 1,0000000026 NATAGAIMA 9 0,68501549 21 0,01854296 35 0,2964415527 ORTEGA 9 0,41286565 21 0,12991428 35 0,4572200628 PALOCABILDO 28 1,0000000029 PIEDRAS 29 1,0000000030 PLANADAS 9 0,66636857 21 0,05881964 35 0,2748118031 PRADO 9 0,19454287 40 0,8054471332 PURIFICACION 9 0,88144016 21 0,02186559 35 0,0966942533 RIOBLANCO 9 0,10487555 21 0,06979110 35 0,8253333534 RONCESVALLES 9 0,14515064 40 0,8548393635 ROVIRA 35 1,0000000036 SALDAÑA 9 0,58717217 28 0,03818334 40 0,3746344837 SAN ANTONIO 9 0,45861317 40 0,5413768338 SANTA ISABEL 9 0,03695425 40 0,9630357539 SUAREZ 9 0,00374547 28 0,24732366 40 0,7489208740 VALLE DE SAN JUAN 40 1,0000000041 VENADILLO 9 0,30542283 40 0,6945671742 VILLA HERMOSA 9 0,13409993 28 0,55245111 35 0,31343896


Unit name Score RTS Actual (I) X1j Actual (I) X2j Actual (O) Y1j Target (I) X1j Target (I) X2j Target (O) Y1jPercent (I) X1jPercent (I) X2jPercent (O) Y1jALPUJARRA 95,31 -1 596,81 9 2901 596,81 9 3043,73 0 0 4,9ALVARADO 78,46 -1 679,36 13,2 3366 679,36 9,05 4290,1 0 -31,5 27,5AMBALEMA 78,25 -1 849,34 14,4 4407 849,34 10,19 5632,14 0 -29,2 27,8ANZOATEGUI 93,74 -1 1102,1 3,5 5806 1102,1 3,5 6193,65 0 0 6,7ATACO 87,74 1 2502,67 5,94 12697 2502,67 5,94 14471,01 0 0 14CAJAMARCA 72,98 -1 2114,42 15,02 10941 2114,42 15,02 14992,54 0 0 37CARMEN DE APICALA82,55 -1 919,9 9,8 4987 919,9 9,8 6041,55 0 0 21,1CASABIANCA 85,56 -1 636,51 15,38 3381 636,51 8,76 3951,78 0 -43 16,9CHAPARRAL 100 0 2911,68 24,05 21915 2911,68 24,05 21915 0 0 0COELLO 90,72 -1 951,37 19,7 5840 951,37 10,88 6437,73 0 -44,8 10,2CUNDAY 64,57 -1 1394,65 13,2 6344 1394,65 13,2 9825,5 0 0 54,9DOLORES 96,21 -1 857,93 5 4621 857,93 5 4802,89 0 0 3,9ESPINAL 83,36 1 4860,85 21,69 25114 4860,85 21,69 30126,49 0 0 20FALAN 75,55 -1 885,53 9 4286 885,53 9 5672,95 0 0 32,4FLANDES 64,98 -1 1813,7 25,22 8607 1813,7 16,67 13246,12 0 -33,9 53,9FRESNO 76,67 1 2809,56 8,52 13266 2809,56 8,52 17303,65 0 0 30,4GUAMO 72,93 1 3523,48 14,4 16127 3523,48 14,4 22112,92 0 0 37,1GUAYABAL-ARMERO68,48 -1 1386,97 17,31 6764 1386,97 13,8 9876,96 0 -20,3 46HERVEO 97,8 -1 819,33 4,16 4302 819,33 4,16 4398,92 0 0 2,3HONDA 66,49 -1 2054,18 41,17 10070 2054,18 18,29 15144,8 0 -55,6 50,4IBAGUE 100 0 20118,14 31,74 102025 20118,14 31,74 102025 0 0 0LERIDA 70,14 -1 1555,23 9,8 7244 1555,23 9,8 10327,73 0 0 42,6LIBANO 70,6 1 2873,76 16,8 13983 2873,76 16,8 19806,24 0 0 41,6MELGAR 68,55 1 3548,59 22,5 16720 3548,59 22,5 24389,57 0 0 45,9MURILLO 100 0 591,58 7,44 2818 591,58 7,44 2818 0 0 0NATAGAIMA 68,77 1 3048,82 19,2 14607 3048,81 19,2 21241,2 0 0 45,4ORTEGA 79,3 1 4866,45 17,35 22992 4866,45 17,35 28992,04 0 0 26,1PALOCABILDO 100 0 937,64 0,94 4646 937,64 0,94 4646 0 0 0PIEDRAS 100 0 587,03 14,38 2886 587,03 14,38 2886 0 0 0PLANADAS 78,59 1 3755,11 19,87 19353 3755,11 19,87 24625,31 0 0 27,2PRADO 83,73 -1 1066,09 19,74 6149 1066,08 11,65 7343,43 0 -41 19,4PURIFICACION 89,07 1 3228,57 22,59 20453 3228,57 22,59 22962,33 0 0 12,3RIOBLANCO 80,18 1 3606,04 10,68 17235 3606,04 10,68 21494,24 0 0 24,7RONCESVALLES 61,3 -1 952,91 14,4 3954 952,91 10,89 6449,87 0 -24,4 63,1ROVIRA 100 0 2297,99 7,2 14631 2297,99 7,2 14631 0 0 0SALDAÑA 55,31 -1 1977,85 17,4 8007 1977,85 17,4 14477,86 0 0 80,8SAN ANTONIO 67,57 -1 1671,16 20,4 8190 1671,16 15,71 12120,72 0 -23 48SANTA ISABEL 85,03 -1 704,99 12 3820 704,99 9,22 4492,49 0 -23,2 17,6SUAREZ 79,19 -1 707,38 6,8 3243 707,38 6,8 4095 0 0 26,3VALLE DE SAN JUAN 100 0 620,33 8,65 3824 620,33 8,65 3824 0 0 0VENADILLO 72,49 -1 1320,15 15,12 6777 1320,15 13,35 9349,36 0 -11,7 38VILLA HERMOSA 63,08 -1 1628,74 6 6366 1628,74 6 10091,4 0 0 58,5


Diff (I) X1j Diff (I) X2j Diff (O) Y1j Refs Peers IO Cont (I) X1jIO Cont (I) X2jIO Cont (O) Y1jPrimal (I) X1j Primal (I) X2j Primal (O) Y1j Intercept0 0 142,73 0 3 98,6 1,4 100 233,36256 0,45214134 35,1689073 5,972354890 -4,15 924,1 0 2 100,0 0,0 100 47,1894061 1,00E-06 30,3104575 0,318976920 -4,21 1225,14 0 2 100,0 0,0 100 36,0425545 1,00E-06 23,1506694 0,243629780 0 387,65 0 3 92,6 7,4 100 23,3755055 1,21229461 17,572339 0,316836160 0 1774,01 0 3 68,3 31,7 100 6,12388361 2,44750792 8,03536268 -0,02479770 0 4051,54 0 3 84,7 15,3 100 12,4045503 0,64332168 9,32501599 0,16813370 0 1054,55 0 3 78,7 21,3 100 27,2143944 1,41138611 20,4581913 0,368869210 -6,62 570,78 0 2 100,0 0,0 100 46,9800476 1,00E-06 30,1759834 0,317561760 0 0 33 0 100,0 0,0 100 7,24797992 1,00E-06 4,65548711 0,048992850 -8,82 597,73 0 2 100,0 0,0 100 27,1985501 1,00E-06 17,4700342 0,183848730 0 3481,5 0 3 80,7 19,3 100 21,3931565 1,10948653 16,0821248 0,289967020 0 181,89 0 3 87,1 12,9 100 29,3698733 1,52317302 22,0785544 0,398084990 0 5012,49 0 3 79,2 20,8 100 3,63413142 0,43771593 4,06247511 -0,090926810 0 1386,95 0 3 79,5 20,5 100 31,6654654 1,64222644 23,8042464 0,42919990 -8,54 4639,12 0 2 100,0 0,0 100 18,4546908 1,00E-06 11,8537237 0,124744610 0 4037,65 0 3 84,9 15,1 100 6,87981129 0,82864449 7,6907131 -0,172134470 0 5985,92 0 3 80,6 19,4 100 5,65930282 0,68163935 6,32634712 -0,141597070 -3,51 3112,96 0 2 100,0 0,0 100 23,4830765 1,00E-06 15,0835305 0,158733990 0 96,92 0 3 88,6 11,4 100 31,5476952 1,63611867 23,7157136 0,427603620 -22,88 5074,8 0 2 100,0 0,0 100 15,7735371 1,00E-06 10,1315789 0,106621350 0 0 11 0 100,0 0,0 100 0,91807093 1,00E-06 1 -0,08192830 0 3083,73 0 3 86,2 13,8 100 18,7352546 0,97164309 14,0840696 0,25394130 0 5823,24 0 3 74,4 25,6 100 6,5270383 0,78615445 7,29635987 -0,163308010 0 7669,57 0 3 72,8 27,2 100 5,45858712 0,65746398 6,10197368 -0,136575120 0 0 1 0 70,2 29,8 100 103,17931 7,12978013 36,2047551 3,322413340 0 6634,2 0 3 73,0 27,0 100 6,24820816 0,75257053 6,98466489 -0,156331620 0 6000,04 0 3 82,7 17,3 100 3,96953621 0,47811403 4,43741301 -0,099318720 0 0 12 0 83,7 16,3 100 16,7358911 6,68876627 21,9597503 -0,067769340 0 0 1 0 100,0 0,0 100 196,388281 1,00E-06 35,3516979 4,730440410 0 5272,31 0 3 76,2 23,8 100 4,71593947 0,56801518 5,27179249 -0,11799390 -8,09 1194,43 0 2 100,0 0,0 100 25,8317664 1,00E-06 16,5921288 0,174609960 0 2509,33 0 3 70,8 29,2 100 4,46230756 0,53746628 4,98826578 -0,111647970 0 4259,24 0 3 85,2 14,8 100 5,29547877 0,63781826 5,91964027 -0,132494110 -3,51 2495,87 0 2 100,0 0,0 100 40,1718611 1,00E-06 25,8029843 0,271541830 0 0 12 0 84,4 15,6 100 6,23795889 0,75133605 6,97320757 -0,156075180 0 6470,86 0 3 81,8 18,2 100 16,9499419 0,87905364 12,7419758 0,229742820 -4,69 3930,72 0 2 100,0 0,0 100 19,3943254 1,00E-06 12,457265 0,131096070 -2,78 672,49 0 2 100,0 0,0 100 41,5810313 1,00E-06 26,7081152 0,281067110 0 852 0 3 80,4 19,6 100 41,849579 2,17039239 31,4600678 0,567237360 0 0 23 0 73,9 26,1 100 35,4911571 1,8406335 26,6801778 0,481054070 -1,77 2572,36 0 2 100,0 0,0 100 23,4380301 1,00E-06 15,0545964 0,158429490 0 3725,4 0 3 89,8 10,2 100 20,3133046 1,2814438 16,0265473 0,24608322


Slacks (I) X1j Slacks (I) X2j Slacks (O) Y1jLambda 1 Lambda 2 Lambda 3 L-Peer 1 L-Peer 2 L-Peer 30 0 0 0,60031533 0,18801424 0,21167042 MURILLO PIEDRAS VALLE DE SAN JUAN0 0,10087528 0 0,02576426 0,97423574 0 CHAPARRAL VALLE DE SAN JUAN 00 0,10226737 0 0,09994711 0,90005289 0 CHAPARRAL VALLE DE SAN JUAN 00 0 0 0,09227367 0,85198383 0,0557425 CHAPARRAL PALOCABILDOVALLE DE SAN JUAN0 0 0 0,0382974 0,35122197 0,61048063 IBAGUE PALOCABILDOROVIRA0 0 0 0,60040615 0,37297928 0,02661458 CHAPARRAL PALOCABILDOVALLE DE SAN JUAN0 0 0 0,1185908 0,08773903 0,79367017 CHAPARRAL PALOCABILDOVALLE DE SAN JUAN0 0,16077343 0 0,00706308 0,99293692 0 CHAPARRAL VALLE DE SAN JUAN 00 0 0 1 0 0 CHAPARRAL 0 00 0,21433852 0 0,14447671 0,85552329 0 CHAPARRAL VALLE DE SAN JUAN 00 0 0 0,32871483 0,066564 0,60472117 CHAPARRAL PALOCABILDOVALLE DE SAN JUAN0 0 0 0,02989442 0,53292923 0,43717636 CHAPARRAL PALOCABILDOVALLE DE SAN JUAN0 0 0 0,68470068 0,12023859 0,19506073 CHAPARRAL IBAGUE ROVIRA0 0 0 0,09559057 0,14552621 0,75888322 CHAPARRAL PALOCABILDOVALLE DE SAN JUAN0 0,20751251 0 0,52081828 0,47918172 0 CHAPARRAL VALLE DE SAN JUAN 00 0 0 0,03833046 0,02738688 0,93428266 CHAPARRAL IBAGUE ROVIRA0 0 0 0,34435152 0,05691079 0,59873769 CHAPARRAL IBAGUE ROVIRA0 0,08523435 0 0,33458412 0,66541588 0 CHAPARRAL VALLE DE SAN JUAN 00 0 0 0,00488547 0,59189085 0,40322368 CHAPARRAL PALOCABILDOVALLE DE SAN JUAN0 0,55577616 0 0,62576985 0,37423015 0 CHAPARRAL VALLE DE SAN JUAN 00 0 0 1 0 0 IBAGUE 0 00 0 0 0,33580941 0,52141716 0,14277343 CHAPARRAL PALOCABILDOVALLE DE SAN JUAN0 0 0 0,55015321 0,01336391 0,43648288 CHAPARRAL IBAGUE ROVIRA0 0 0 0,84816787 0,04096979 0,11086235 CHAPARRAL IBAGUE ROVIRA0 0 0 1 0 0 MURILLO 0 00 0 0 0,68501549 0,01854296 0,29644155 CHAPARRAL IBAGUE ROVIRA0 0 0 0,41286565 0,12991428 0,45722006 CHAPARRAL IBAGUE ROVIRA0 0 0 1 0 0 PALOCABILDO 0 00 0 0 1 0 0 PIEDRAS 0 00 0 0 0,66636857 0,05881964 0,2748118 CHAPARRAL IBAGUE ROVIRA0 0,19657942 0 0,19454017 0,80545983 0 CHAPARRAL VALLE DE SAN JUAN 00 0 0 0,88144016 0,02186559 0,09669425 CHAPARRAL IBAGUE ROVIRA0 0 0 0,10487555 0,0697911 0,82533335 CHAPARRAL IBAGUE ROVIRA0 0,08535601 0 0,14514793 0,85485207 0 CHAPARRAL VALLE DE SAN JUAN 00 0 0 1 0 0 ROVIRA 0 00 0 0 0,58716884 0,03818789 0,37464327 CHAPARRAL PALOCABILDOVALLE DE SAN JUAN0 0,1138113 0 0,45861046 0,54138954 0 CHAPARRAL VALLE DE SAN JUAN 00 0,06754296 0 0,03695155 0,96304845 0 CHAPARRAL VALLE DE SAN JUAN 00 0 0 0,00374213 0,24732821 0,74892966 CHAPARRAL PALOCABILDOVALLE DE SAN JUAN0 0 0 1 0 0 VALLE DE SAN JUAN 0 00 0,04288007 0 0,30542012 0,69457988 0 CHAPARRAL VALLE DE SAN JUAN 00 0 0 0,13410234 0,55246909 0,31342857 CHAPARRAL PALOCABILDOROVIRA


Municipio Actual (I) X1j Target (I) X1j Percent (I) X1j Actual (I) X2j Target (I) X2j Percent (I) X2jActual (O) Y1j Target (O) Y1j Percent (O) Y1jALPUJARRA 596,81 596,81 0 9,00 9,00 0,00 2901 3043,73 4,90ALVARADO 679,36 679,36 0 13,20 9,05 -31,50 3366 4290,10 27,50AMBALEMA 849,34 849,34 0 14,40 10,19 -29,20 4407 5632,14 27,80ANZOATEGUI 1102,10 1102,10 0 3,50 3,50 0,00 5806 6193,65 6,70ATACO 2502,67 2502,67 0 5,94 5,94 0,00 12697 14471,01 14,00CAJAMARCA 2114,42 2114,42 0 15,02 15,02 0,00 10941 14992,54 37,00CARMEN DE APICALA 919,90 919,90 0 9,80 9,80 0,00 4987 6041,55 21,10CASABIANCA 636,51 636,51 0 15,38 8,76 -43,00 3381 3951,78 16,90CHAPARRAL 2911,68 2911,68 0 24,05 24,05 0,00 21915 21915,00 0,00COELLO 951,37 951,37 0 19,70 10,88 -44,80 5840 6437,73 10,20CUNDAY 1394,65 1394,65 0 13,20 13,20 0,00 6344 9825,50 54,90DOLORES 857,93 857,93 0 5,00 5,00 0,00 4621 4802,89 3,90ESPINAL 4860,85 4860,85 0 21,69 21,69 0,00 25114 30126,49 20,00FALAN 885,53 885,53 0 9,00 9,00 0,00 4286 5672,95 32,40FLANDES 1813,70 1813,70 0 25,22 16,67 -33,90 8607 13246,12 53,90FRESNO 2809,56 2809,56 0 8,52 8,52 0,00 13266 17303,65 30,40GUAMO 3523,48 3523,48 0 14,40 14,40 0,00 16127 22112,92 37,10GUAYABAL-ARMERO 1386,97 1386,97 0 17,31 13,80 -20,30 6764 9876,96 46,00HERVEO 819,33 819,33 0 4,16 4,16 0,00 4302 4398,92 2,30HONDA 2054,18 2054,18 0 41,17 18,29 -55,60 10070 15144,80 50,40IBAGUE 20118,14 20118,14 0 31,74 31,74 0,00 102025 102025,00 0,00LERIDA 1555,23 1555,23 0 9,80 9,80 0,00 7244 10327,73 42,60LIBANO 2873,76 2873,76 0 16,80 16,80 0,00 13983 19806,24 41,60MELGAR 3548,59 3548,59 0 22,50 22,50 0,00 16720 24389,57 45,90MURILLO 591,58 591,58 0 7,44 7,44 0,00 2818 2818,00 0,00NATAGAIMA 3048,82 3048,81 0 19,20 19,20 0,00 14607 21241,20 45,40ORTEGA 4866,45 4866,45 0 17,35 17,35 0,00 22992 28992,04 26,10PALOCABILDO 937,64 937,64 0 0,94 0,94 0,00 4646 4646,00 0,00PIEDRAS 587,03 587,03 0 14,38 14,38 0,00 2886 2886,00 0,00PLANADAS 3755,11 3755,11 0 19,87 19,87 0,00 19353 24625,31 27,20PRADO 1066,09 1066,08 0 19,74 11,65 -41,00 6149 7343,43 19,40PURIFICACION 3228,57 3228,57 0 22,59 22,59 0,00 20453 22962,33 12,30RIOBLANCO 3606,04 3606,04 0 10,68 10,68 0,00 17235 21494,24 24,70RONCESVALLES 952,91 952,91 0 14,40 10,89 -24,40 3954 6449,87 63,10ROVIRA 2297,99 2297,99 0 7,20 7,20 0,00 14631 14631,00 0,00SALDAÑA 1977,85 1977,85 0 17,40 17,40 0,00 8007 14477,86 80,80SAN ANTONIO 1671,16 1671,16 0 20,40 15,71 -23,00 8190 12120,72 48,00SANTA ISABEL 704,99 704,99 0 12,00 9,22 -23,20 3820 4492,49 17,60SUAREZ 707,38 707,38 0 6,80 6,80 0,00 3243 4095,00 26,30VALLE DE SAN JUAN 620,33 620,33 0 8,65 8,65 0,00 3824 3824,00 0,00VENADILLO 1320,15 1320,15 0 15,12 13,35 -11,70 6777 9349,36 38,00VILLA HERMOSA 1628,74 1628,74 0 6,00 6,00 0,00 6366 10091,40 58,5095334,89 95334,87 -0,00002098 610,66 531,08 -13,03 485665 592569 22,01-0,02 -79,58 106904


No. Municipio ETG ETP ETG>ETG EE Rank9 CHAPARRAL 1,0000000 1,0000000 0,0000000 1,0000000 128 PALOCABILDO 1,0000000 1,0000000 0,0000000 1,0000000 135 ROVIRA 1,0000000 1,0000000 0,0000000 1,0000000 121 IBAGUE 0,9501118 1,0000000 0,0498882 0,9501118 140 VALLE DE SAN JUAN 0,8190310 1,0000000 0,1809690 0,8190310 129 PIEDRAS 0,6531873 1,0000000 0,3468127 0,6531873 125 MURILLO 0,6328968 1,0000000 0,3671032 0,6328968 119 HERVEO 0,7714061 0,9779638 0,2065577 0,7887879 812 DOLORES 0,7720731 0,9621258 0,1900527 0,8024658 91 ALPUJARRA 0,6458271 0,9530541 0,3072270 0,6776395 104 ANZOATEGUI 0,8261785 0,9374084 0,1112299 0,8813432 1110 COELLO 0,8155756 0,9071508 0,0915752 0,8990518 1232 PURIFICACION 0,8749019 0,8907197 0,0158177 0,9822416 135 ATACO 0,8651437 0,8774093 0,0122656 0,9860207 148 CASABIANCA 0,7057361 0,8555619 0,1498258 0,8248803 1538 SANTA ISABEL 0,7199124 0,8503058 0,1303934 0,8466511 1631 PRADO 0,7663274 0,8373463 0,0710189 0,9151858 1713 ESPINAL 0,7748993 0,8336185 0,0587192 0,9295611 187 CARMEN DE APICALA 0,7202793 0,8254482 0,1051689 0,8725917 1933 RIOBLANCO 0,7643004 0,8018428 0,0375425 0,9531798 2027 ORTEGA 0,7308647 0,7930452 0,0621805 0,9215927 2139 SUAREZ 0,6091102 0,7919373 0,1828271 0,7691395 2230 PLANADAS 0,7518041 0,7858987 0,0340945 0,9566171 232 ALVARADO 0,6582879 0,7845949 0,1263070 0,8390163 243 AMBALEMA 0,6893880 0,7824715 0,0930835 0,8810391 2516 FRESNO 0,7495087 0,7666591 0,0171504 0,9776297 2614 FALAN 0,6430558 0,7555126 0,1124568 0,8511517 276 CAJAMARCA 0,7122479 0,7297622 0,0175143 0,9760000 2817 GUAMO 0,6953259 0,7293022 0,0339763 0,9534126 2941 VENADILLO 0,6820495 0,7248620 0,0428124 0,9409371 3023 LIBANO 0,6970598 0,7059896 0,0089298 0,9873514 3122 LERIDA 0,6575581 0,7014112 0,0438531 0,9374788 3226 NATAGAIMA 0,6764611 0,6876731 0,0112120 0,9836958 3324 MELGAR 0,6643507 0,6855390 0,0211883 0,9690925 3418 GUAYABAL-ARMERO 0,6479428 0,6848253 0,0368824 0,9461433 3537 SAN ANTONIO 0,6511287 0,6757017 0,0245731 0,9636333 3620 HONDA 0,6513162 0,6649141 0,0135980 0,9795493 3715 FLANDES 0,6305033 0,6497745 0,0192712 0,9703417 3811 CUNDAY 0,6043664 0,6456660 0,0412996 0,9360356 3942 VILLA HERMOSA 0,6021129 0,6308333 0,0287205 0,9544722 4034 RONCESVALLES 0,5512981 0,6130345 0,0617364 0,8992938 4136 SALDAÑA 0,5378703 0,5530506 0,0151803 0,9725517 42Municipios EficientesMunicipios Eficientes (%)PromedioDesviación EstándarValor MínimoValor MáximoMunicipios IneficientesMunicipios Ineficientes (%)3 7 37,14 16,67 7,140,73 0,81 0,900,11 0,13 0,090,5378703 0,5530506 0,63289681,00 1,00 1,0039 35 3992,86 83,33 92,86


1 ALPUJARRA 9 0,2049699 0,2049699 IRS2 ALVARADO 9 0,2333226 0,2333226 IRS3 AMBALEMA 9 0,2917010 0,2917010 IRS4 ANZOATEGUI 9 0,0031432 35 0,4756102 0,4787535 IRS5 ATACO 28 0,9502766 35 0,7013321 1,6516086 DRS6 CAJAMARCA 9 0,5623803 35 0,2075497 0,7699300 IRS7 CARMEN DE APICALA 9 0,3159344 0,3159344 IRS8 CASABIANCA 9 0,2186056 0,2186056 IRS9 CHAPARRAL 9 1,0000000 1,0000000 CRS10 COELLO 9 0,3267437 0,3267437 IRS11 CUNDAY 9 0,4789844 0,4789844 IRS12 DOLORES 9 0,1548446 35 0,1771421 0,3319867 IRS13 ESPINAL 9 0,4326697 35 1,5670437 1,9997134 DRS14 FALAN 9 0,3041319 0,3041319 IRS15 FLANDES 9 0,6229067 0,6229067 IRS16 FRESNO 28 0,1423476 35 1,1645306 1,3068782 DRS17 GUAMO 9 0,2250613 35 1,2481185 1,4731798 DRS18 GUAYABAL-ARMERO 9 0,4763492 0,4763492 IRS19 HERVEO 9 0,1066843 35 0,2213686 0,3280528 IRS20 HONDA 9 0,7054986 0,7054986 IRS21 IBAGUE 28 15,6421758 35 2,3722613 18,0144371 DRS22 LERIDA 9 0,3300669 35 0,2585675 0,5886344 IRS23 LIBANO 9 0,5221412 35 0,5889718 1,1111131 DRS24 MELGAR 9 0,7622915 35 0,5783483 1,3406397 DRS25 MURILLO 9 0,2031733 0,2031733 IRS26 NATAGAIMA 9 0,6461478 35 0,5080261 1,1541739 DRS27 ORTEGA 9 0,1405535 35 1,9396076 2,0801611 DRS28 PALOCABILDO 28 1,0000000 1,0000000 CRS29 PIEDRAS 9 0,2016123 0,2016123 IRS30 PLANADAS 9 0,5430773 35 0,9459735 1,4890508 DRS31 PRADO 9 0,3661412 0,3661412 IRS32 PURIFICACION 9 0,8356079 35 0,3461916 1,1817996 DRS33 RIOBLANCO 28 0,3090460 35 1,4431144 1,7521604 DRS34 RONCESVALLES 9 0,3272719 0,3272719 IRS35 ROVIRA 35 1,0000000 1,0000000 CRS36 SALDAÑA 9 0,6792831 0,6792831 IRS37 SAN ANTONIO 9 0,5739521 0,5739521 IRS38 SANTA ISABEL 9 0,2421264 0,2421264 IRS39 SUAREZ 9 0,2429459 0,2429459 IRS40 VALLE DE SAN JUAN 9 0,2130473 0,2130473 IRS41 VENADILLO 9 0,4533985 0,4533985 IRS42 VILLA HERMOSA 9 0,0600701 35 0,6326521 0,6927222 IRS


Excess Excess ShortageNo. DMU Score X1j X2j Y1jS-(1) S-(2) S+(1)1 ALPUJARRA 0,645827106 0 4,069726951 02 ALVARADO 0,658287881 0 7,587740239 03 AMBALEMA 0,689387977 0 7,383527006 04 ANZOATEGUI 0,82617848 0 0 05 ATACO 0,865143714 0 0 06 CAJAMARCA 0,712247919 0 0 07 CARMEN DE APICALA 0,720279314 0 2,200623908 08 CASABIANCA 0,705736116 0 10,11973656 09 CHAPARRAL 1 0 0 010 COELLO 0,815575559 0 11,84062236 011 CUNDAY 0,604366366 0 1,678675737 012 DOLORES 0,772073098 0 0 013 ESPINAL 0,774899291 0 0 014 FALAN 0,643055781 0 1,684516552 015 FLANDES 0,630503283 0 10,23282118 016 FRESNO 0,749508714 0 0 017 GUAMO 0,695325888 0 0 018 GUAYABAL-ARMERO 0,647942828 0 5,855063145 019 HERVEO 0,771406067 0 0 020 HONDA 0,651316153 0 24,20118399 021 IBAGUE 0,950111765 0 0 022 LERIDA 0,657558093 0 0 023 LIBANO 0,697059783 0 0 024 MELGAR 0,664350676 0 0 025 MURILLO 0,632896796 0 2,552940756 026 NATAGAIMA 0,676461144 0 0 027 ORTEGA 0,730864652 0 0 028 PALOCABILDO1 0 0 029 PIEDRAS 0,653187329 0 9,525487448 030 PLANADAS 0,751804141 0 0 031 PRADO 0,766327448 0 10,93296699 032 PURIFICACION0,87490193 0 0 033 RIOBLANCO 0,76430037 0 0 034 RONCESVALLES0,551298107 0 6,527916791 035 ROVIRA 1 0 0 036 SALDAÑA 0,537870269 0 1,060761886 037 SAN ANTONIO 0,651128659 0 6,594358133 038 SANTA ISABEL0,719912415 0 6,175975244 039 SUAREZ 0,609110229 0 0,956264264 040 VALLE DE SAN 0,819030963 JUAN0 3,525434179 041 VENADILLO 0,68204955 0 4,214111041 042 VILLA HERMOSA0,602112869 0 0 0


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)No. DMU Score VX(1) X1j VX(2) X2j UY(1) Y1j1 ALPUJARRA 0,645827106 1,548402026 0 12 ALVARADO 0,658287881 1,519092222 0 13 AMBALEMA 0,689387977 1,450561996 0 14 ANZOATEGUI 0,82617848 1,074057082 0,136335132 15 ATACO 0,865143714 0,846341514 0,309535809 16 CAJAMARCA 0,712247919 1,093494073 0,310511432 17 CARMEN DE APICALA 0,720279314 1,388350297 0 18 CASABIANCA 0,705736116 1,416960217 0 19 CHAPARRAL 1 1 0 110 COELLO 0,815575559 1,226127964 0 111 CUNDAY 0,604366366 1,6546255 0 112 DOLORES 0,772073098 1,050504661 0,244709487 113 ESPINAL 0,774899291 1,095164107 0,19532617 114 FALAN 0,643055781 1,555075048 0 115 FLANDES 0,630503283 1,586034564 0 116 FRESNO 0,749508714 0,90936944 0,424837863 117 GUAMO 0,695325888 1,23623301 0,201941546 118 GUAYABAL-ARMERO 0,647942828 1,543346045 0 119 HERVEO 0,771406067 1,07763869 0,218695424 120 HONDA 0,651316153 1,535352678 0 121 IBAGUE 0,950111765 0,846689049 0,205818705 122 LERIDA 0,657558093 1,214787135 0,305991047 123 LIBANO 0,697059783 1,162874623 0,271722559 124 MELGAR 0,664350676 1,200886356 0,304342789 125 MURILLO 0,632896796 1,580036439 0 126 NATAGAIMA 0,676461144 1,181007477 0,29727403 127 ORTEGA 0,730864652 1,19761869 0,170623703 128 PALOCABILDO1 0,866560023 0,133439977 129 PIEDRAS 0,653187329 1,530954377 0 130 PLANADAS 0,751804141 1,097884717 0,232248951 131 PRADO 0,766327448 1,304925202 0 132 PURIFICACION0,87490193 0,893172595 0,249812653 133 RIOBLANCO 0,76430037 0,898384539 0,410001587 134 RONCESVALLES0,551298107 1,813900659 0 135 ROVIRA 1 0,888705102 0,111294898 136 SALDAÑA 0,537870269 1,859184376 0 137 SAN ANTONIO 0,651128659 1,535794787 0 138 SANTA ISABEL0,719912415 1,389057862 0 139 SUAREZ 0,609110229 1,64173897 0 140 VALLE DE SAN 0,819030963 JUAN1,220955062 0 141 VENADILLO 0,68204955 1,466169138 0 142 VILLA HERMOSA0,602112869 1,447660303 0,213157878 1


Sum of Lambda < Infinity)


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)No. DMU Score V(1) X1j V(2) X2j U(1) Y1j1 ALPUJARRA 0,645827106 2,59E-03 0 3,45E-042 ALVARADO 0,658287881 2,24E-03 0 2,97E-043 AMBALEMA 0,689387977 1,71E-03 0 2,27E-044 ANZOATEGUI 0,82617848 9,75E-04 3,90E-02 1,72E-045 ATACO 0,865143714 3,38E-04 5,21E-02 7,88E-056 CAJAMARCA 0,712247919 5,17E-04 2,07E-02 9,14E-057 CARMEN DE APICALA 0,720279314 1,51E-03 0 2,01E-048 CASABIANCA 0,705736116 2,23E-03 0 2,96E-049 CHAPARRAL 1 3,43E-04 0 4,56E-0510 COELLO 0,815575559 1,29E-03 0 1,71E-0411 CUNDAY 0,604366366 1,19E-03 0 1,58E-0412 DOLORES 0,772073098 1,22E-03 4,89E-02 2,16E-0413 ESPINAL 0,774899291 2,25E-04 9,01E-03 3,98E-0514 FALAN 0,643055781 1,76E-03 0 2,33E-0415 FLANDES 0,630503283 8,74E-04 0 1,16E-0416 FRESNO 0,749508714 3,24E-04 4,99E-02 7,54E-0517 GUAMO 0,695325888 3,51E-04 1,40E-02 6,20E-0518 GUAYABAL-ARMERO 0,647942828 1,11E-03 0 1,48E-0419 HERVEO 0,771406067 1,32E-03 5,26E-02 2,32E-0420 HONDA 0,651316153 7,47E-04 0 9,93E-0521 IBAGUE 0,950111765 4,21E-05 6,49E-03 022 LERIDA 0,657558093 7,81E-04 3,12E-02 1,38E-0423 LIBANO 0,697059783 4,05E-04 1,62E-02 7,15E-0524 MELGAR 0,664350676 3,38E-04 1,35E-02 5,98E-0525 MURILLO 0,632896796 2,67E-03 0 3,55E-0426 NATAGAIMA 0,676461144 3,87E-04 0,015483022 6,85E-0527 ORTEGA 0,730864652 2,46E-04 9,84E-03 4,35E-0528 PALOCABILDO1 9,24E-04 0,142411928 2,15E-0429 PIEDRAS 0,653187329 2,61E-03 0 3,47E-0430 PLANADAS 0,751804141 2,92E-04 1,17E-02 5,17E-0531 PRADO 0,766327448 1,22E-03 0 1,63E-0432 PURIFICACION0,87490193 2,77E-04 1,11E-02 4,89E-0533 RIOBLANCO 0,76430037 2,49E-04 3,84E-02 5,80E-0534 RONCESVALLES0,551298107 1,90E-03 0 2,53E-0435 ROVIRA 1 3,87E-04 1,55E-02 6,83E-0536 SALDAÑA 0,537870269 9,40E-04 0 1,25E-0437 SAN ANTONIO 0,651128659 9,19E-04 0 1,22E-0438 SANTA ISABEL0,719912415 1,97E-03 0 2,62E-0439 SUAREZ 0,609110229 2,32E-03 0 3,08E-0440 VALLE DE SAN 0,819030963 JUAN1,97E-03 0 2,62E-0441 VENADILLO 0,68204955 1,11E-03 0 1,48E-0442 VILLA HERMOSA0,602112869 8,89E-04 0,035526313 1,57E-04


um of Lambda < Infinity)


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)No. DMU 1/ScoreI/O Data Projection Difference %1 ALPUJARRA 1,548402026X1j 596,806 596,806 0 0,00%X2j 9 4,930273049 -4,069726951 -45,22%Y1j 2901 4491,914278 1590,914278 54,84%2 ALVARADO 1,519092222X1j 679,36 679,36 0 0,00%X2j 13,2 5,612259761 -7,587740239 -57,48%Y1j 3366 5113,264418 1747,264418 51,91%3 AMBALEMA 1,450561996X1j 849,339 849,339 0 0,00%X2j 14,4 7,016472994 -7,383527006 -51,27%Y1j 4407 6392,626718 1985,626718 45,06%4 ANZOATEGUI 1,210392215X1j 1102,102 1102,102 0 0,00%X2j 3,5 3,5 0 0,00%Y1j 5806 7027,537198 1221,537198 21,04%5 ATACO 1,155877323X1j 2502,673 2502,673 0 0,00%X2j 5,94 5,94 0 0,00%Y1j 12697 14676,17437 1979,174373 15,59%6 CAJAMARCA 1,404005505X1j 2114,418 2114,418 0 0,00%X2j 15,021657 15,021657 0 0,00%Y1j 10941 15361,22423 4420,224233 40,40%7 CARMEN DE APICALA 1,388350297X1j 919,899 919,899 0 0,00%X2j 9,8 7,599376092 -2,200623908 -22,46%Y1j 4987 6923,702933 1936,702933 38,84%8 CASABIANCA 1,416960217X1j 636,509 636,509 0 0,00%X2j 15,378 5,258263436 -10,11973656 -65,81%Y1j 3381 4790,742495 1409,742495 41,70%9 CHAPARRAL 1X1j 2911,677 2911,677 0 0,00%X2j 24,05365 24,05365 0 0,00%Y1j 21915 21915 0 0,00%10 COELLO 1,226127964X1j 951,372 951,372 0 0,00%X2j 19,7 7,85937764 -11,84062236 -60,10%Y1j 5840 7160,587311 1320,587311 22,61%11 CUNDAY 1,6546255X1j 1394,648 1394,648 0 0,00%X2j 13,2 11,52132426 -1,678675737 -12,72%Y1j 6344 10496,94417 4152,944173 65,46%12 DOLORES 1,295214149X1j 857,929 857,929 0 0,00%X2j 5 5 0 0,00%Y1j 4621 5985,184581 1364,184581 29,52%13 ESPINAL 1,290490276X1j 4860,853 4860,853 0 0,00%X2j 21,69 21,69 0 0,00%Y1j 25114 32409,3728 7295,372804 29,05%14 FALAN 1,555075048X1j 885,534 885,534 0 0,00%X2j 9 7,315483448 -1,684516552 -18,72%


Y1j 4286 6665,051656 2379,051656 55,51%15 FLANDES 1,586034564X1j 1813,703 1813,703 0 0,00%X2j 25,216 14,98317882 -10,23282118 -40,58%Y1j 8607 13650,99949 5043,999491 58,60%16 FRESNO 1,334207303X1j 2809,556 2809,556 0 0,00%X2j 8,518 8,518 0 0,00%Y1j 13266 17699,59408 4433,594079 33,42%17 GUAMO 1,438174556X1j 3523,476 3523,476 0 0,00%X2j 14,4 14,4 0 0,00%Y1j 16127 23193,44106 7066,441064 43,82%18 GUAYABAL-ARMERO 1,543346045X1j 1386,975 1386,975 0 0,00%X2j 17,313 11,45793686 -5,855063145 -33,82%Y1j 6764 10439,19265 3675,192646 54,33%19 HERVEO 1,296334114X1j 819,334 819,334 0 0,00%X2j 4,16 4,16 0 0,00%Y1j 4302 5576,829358 1274,829358 29,63%20 HONDA 1,535352678X1j 2054,184 2054,184 0 0,00%X2j 41,171 16,96981601 -24,20118399 -58,78%Y1j 10070 15461,00146 5391,001464 53,54%21 IBAGUE 1,052507754X1j 20118,143 20118,143 0 0,00%X2j 31,737 31,737 0 0,00%Y1j 102025 107382,1036 5357,103624 5,25%22 LERIDA 1,520778181X1j 1555,235 1555,235 0 0,00%X2j 9,801 9,801 0 0,00%Y1j 7244 11016,51714 3772,517144 52,08%23 LIBANO 1,434597182X1j 2873,761 2873,761 0 0,00%X2j 16,8 16,8 0 0,00%Y1j 13983 20059,97239 6076,972389 43,46%24 MELGAR 1,505229145X1j 3548,588 3548,588 0 0,00%X2j 22,5 22,5 0 0,00%Y1j 16720 25167,43131 8447,431309 50,52%25 MURILLO 1,580036439X1j 591,575 591,575 0 0,00%X2j 7,44 4,887059244 -2,552940756 -34,31%Y1j 2818 4452,542684 1634,542684 58,00%26 NATAGAIMA 1,478281508X1j 3048,815 3048,815 0 0,00%X2j 19,2 19,2 0 0,00%Y1j 14607 21593,25798 6986,257981 47,83%27 ORTEGA 1,368242393X1j 4866,455 4866,455 0 0,00%X2j 17,346 17,346 0 0,00%Y1j 22992 31458,62911 8466,629107 36,82%28 PALOCABILDO1X1j 937,638 937,638 0 0,00%X2j 0,937 0,937 0 0,00%Y1j 4646 4646 0 0,00%29 PIEDRAS 1,530954377X1j 587,03 587,03 0 0,00%


X2j 14,375 4,849512552 -9,525487448 -66,26%Y1j 2886 4418,334331 1532,334331 53,10%30 PLANADAS 1,330133668X1j 3755,108 3755,108 0 0,00%X2j 19,874 19,874 0 0,00%Y1j 19353 25742,07687 6389,076874 33,01%31 PRADO 1,304925202X1j 1066,085 1066,085 0 0,00%X2j 19,74 8,807033012 -10,93296699 -55,38%Y1j 6149 8023,985069 1874,985069 30,49%32 PURIFICACION1,142985248X1j 3228,567 3228,567 0 0,00%X2j 22,592 22,592 0 0,00%Y1j 20453 23377,47728 2924,477284 14,30%33 RIOBLANCO 1,308386125X1j 3606,043 3606,043 0 0,00%X2j 10,68 10,68 0 0,00%Y1j 17235 22550,03487 5315,034866 30,84%34 RONCESVALLES1,813900659X1j 952,91 952,91 0 0,00%X2j 14,4 7,872083209 -6,527916791 -45,33%Y1j 3954 7172,163207 3218,163207 81,39%35 ROVIRA 1X1j 2297,995 2297,995 0 0,00%X2j 7,2 7,2 0 0,00%Y1j 14631 14631 0 0,00%36 SALDAÑA 1,859184376X1j 1977,853 1977,853 0 0,00%X2j 17,4 16,33923811 -1,060761886 -6,10%Y1j 8007 14886,4893 6879,489296 85,92%37 SAN ANTONIO 1,535794787X1j 1671,163 1671,163 0 0,00%X2j 20,4 13,80564187 -6,594358133 -32,33%Y1j 8190 12578,1593 4388,159303 53,58%38 SANTA ISABEL1,389057862X1j 704,994 704,994 0 0,00%X2j 12 5,824024756 -6,175975244 -51,47%Y1j 3820 5306,201035 1486,201035 38,91%39 SUAREZ 1,64173897X1j 707,38 707,38 0 0,00%X2j 6,8 5,843735736 -0,956264264 -14,06%Y1j 3243 5324,159479 2081,159479 64,17%40 VALLE DE SAN 1,220955062JUANX1j 620,325 620,325 0 0,00%X2j 8,65 5,124565821 -3,525434179 -40,76%Y1j 3824 4668,932157 844,9321566 22,10%41 VENADILLO 1,466169138X1j 1320,15 1320,15 0 0,00%X2j 15,12 10,90588896 -4,214111041 -27,87%Y1j 6777 9936,228246 3159,228246 46,62%42 VILLA HERMOSA1,660818181X1j 1628,736 1628,736 0 0,00%X2j 6 6 0 0,00%Y1j 6366 10572,76854 4206,768538 66,08%


of Lambda < Infinity)


MunicipioDMURONCESVALLESCUNDAYFLANDESFALANGUAYABAL-ARMEROHONDALERIDAMELGARVENADILLOGUAMOCASABIANCASANTA ISABELORTEGAPLANADASPRADODOLORESCOELLOANZOATEGUIPURIFICACIONCHAPARRALROVIRA0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1Efficiency


MunicipioDMUVENADILLOSUAREZSAN ANTONIOROVIRARIOBLANCOPRADOPIEDRASORTEGAMURILLOLIBANOIBAGUEHERVEOGUAMOFLANDESESPINALCUNDAYCHAPARRALCARMEN DE APICALAATACOAMBALEMAALPUJARRA0,0000000 0,1000000 0,2000000 0,3000000 0,4000000 0,5000000 0,6000000 0,7000000 0,8000000 0,9000000 1,0000000Efficiency


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O)Rank DMU Score1 ROVIRA 11 PALOCABILDO11 CHAPARRAL 14 IBAGUE 0,9501117655 PURIFICACION0,874901936 ATACO 0,8651437147 ANZOATEGUI 0,826178488 VALLE DE SAN 0,819030963JUAN9 COELLO 0,81557555910 ESPINAL 0,77489929111 DOLORES 0,77207309812 HERVEO 0,77140606713 PRADO 0,76632744814 RIOBLANCO 0,7643003715 PLANADAS 0,75180414116 FRESNO 0,74950871417 ORTEGA 0,73086465218 CARMEN DE APICALA 0,72027931419 SANTA ISABEL0,71991241520 CAJAMARCA 0,71224791921 CASABIANCA 0,70573611622 LIBANO 0,69705978323 GUAMO 0,69532588824 AMBALEMA 0,68938797725 VENADILLO 0,6820495526 NATAGAIMA 0,67646114427 MELGAR 0,66435067628 ALVARADO 0,65828788129 LERIDA 0,65755809330 PIEDRAS 0,65318732931 HONDA 0,65131615332 SAN ANTONIO 0,65112865933 GUAYABAL-ARMERO 0,64794282834 ALPUJARRA 0,64582710635 FALAN 0,64305578136 MURILLO 0,63289679637 FLANDES 0,63050328338 SUAREZ 0,60911022939 CUNDAY 0,60436636640 VILLA HERMOSA0,60211286941 RONCESVALLES0,55129810742 SALDAÑA 0,537870269


<strong>Model</strong> <strong>Name</strong> = <strong>DEA</strong>-<strong>Solver</strong> <strong>Pro5.0</strong>/ CCR(CCR-O) Returns to Scale = Constant (0 =< Sum of Lambda < Infinity)No. DMU Score Rank 1/Score Reference set (lambda)1 ALPUJARRA 0,6458271 34 1,5484020 CHAPARRAL 0,204969852 ALVARADO 0,6582879 28 1,5190922 CHAPARRAL 0,233322583 AMBALEMA 0,6893880 24 1,4505620 CHAPARRAL 0,291700974 ANZOATEGUI 0,8261785 7 1,2103922 CHAPARRAL 0,003143245 ATACO 0,8651437 6 1,1558773 PALOCABILDO 0,950276586 CAJAMARCA 0,7122479 20 1,4040055 CHAPARRAL 0,562380317 CARMEN DE APICALA 0,7202793 18 1,3883503 CHAPARRAL 0,315934438 CASABIANCA 0,7057361 21 1,4169602 CHAPARRAL 0,218605649 CHAPARRAL 1,0000000 1 1,0000000 CHAPARRAL 110 COELLO 0,8155756 9 1,2261280 CHAPARRAL 0,3267436611 CUNDAY 0,6043664 39 1,6546255 CHAPARRAL 0,4789844512 DOLORES 0,7720731 11 1,2952141 CHAPARRAL 0,1548445613 ESPINAL 0,7748993 10 1,2904903 CHAPARRAL 0,4326696914 FALAN 0,6430558 35 1,5550750 CHAPARRAL 0,3041319515 FLANDES 0,6305033 37 1,5860346 CHAPARRAL 0,6229066616 FRESNO 0,7495087 16 1,3342073 PALOCABILDO 0,1423475917 GUAMO 0,6953259 23 1,4381746 CHAPARRAL 0,2250613518 GUAYABAL-ARMERO 0,6479428 33 1,5433460 CHAPARRAL 0,476349219 HERVEO 0,7714061 12 1,2963341 CHAPARRAL 0,1066842820 HONDA 0,6513162 31 1,5353527 CHAPARRAL 0,7054985821 IBAGUE 0,9501118 4 1,0525078 PALOCABILDO 15,642175822 LERIDA 0,6575581 29 1,5207782 CHAPARRAL 0,3300669323 LIBANO 0,6970598 22 1,4345972 CHAPARRAL 0,5221412424 MELGAR 0,6643507 27 1,5052291 CHAPARRAL 0,7622914825 MURILLO 0,6328968 36 1,5800364 CHAPARRAL 0,2031732926 NATAGAIMA 0,6764611 26 1,4782815 CHAPARRAL 0,6461477627 ORTEGA 0,7308647 17 1,3682424 CHAPARRAL 0,1405535328 PALOCABILDO 1,0000000 1 1,0000000 PALOCABILDO 129 PIEDRAS 0,6531873 30 1,5309544 CHAPARRAL 0,2016123430 PLANADAS 0,7518041 15 1,3301337 CHAPARRAL 0,5430772831 PRADO 0,7663274 13 1,3049252 CHAPARRAL 0,3661412332 PURIFICACION 0,8749019 5 1,1429852 CHAPARRAL 0,8356079133 RIOBLANCO 0,7643004 14 1,3083861 PALOCABILDO 0,3090459734 RONCESVALLES0,5512981 41 1,8139007 CHAPARRAL 0,3272718835 ROVIRA 1,0000000 1 1,0000000 ROVIRA 136 SALDAÑA 0,5378703 42 1,8591844 CHAPARRAL 0,6792831137 SAN ANTONIO 0,6511287 32 1,5357948 CHAPARRAL 0,5739520638 SANTA ISABEL 0,7199124 19 1,3890579 CHAPARRAL 0,2421264439 SUAREZ 0,6091102 38 1,6417390 CHAPARRAL 0,242945940 VALLE DE SAN JUAN 0,8190310 8 1,2209551 CHAPARRAL 0,2130473341 VENADILLO 0,6820495 25 1,4661691 CHAPARRAL 0,4533985142 VILLA HERMOSA0,6021129 40 1,6608182 CHAPARRAL 6,01E-02


f Lambda < Infinity)ROVIRA 0,47561021ROVIRA 0,70133206ROVIRA 0,20754971ROVIRA 0,17714209ROVIRA 1,56704371ROVIRA 1,1645306ROVIRA 1,24811849ROVIRA 0,22136855ROVIRA 2,37226129ROVIRA 0,25856746ROVIRA 0,58897184ROVIRA 0,57834827ROVIRA 0,50802609ROVIRA 1,93960758ROVIRA 0,9459735ROVIRA 0,34619165ROVIRA 1,44311443ROVIRA 0,63265206


<strong>DEA</strong> model = <strong>DEA</strong>-<strong>Solver</strong> LV3.0/ CCR(CCR-O)Problem = MunicipioNo. of DMUs = 42No. of Input items = 2Input(1) = X1jInput(2) = X2jNo. of Output items = 1Output(1) = Y1jReturns to Scale = Constant (0 =< Sum of Lambda < Infinity)Statistics on Input/Output DataX1j X2j Y1jMax 20118,143 41,171 102025Min 587,03 0,937 2818Average 2269,878476 14,53936445 11563,45238SD 3028,145896 7,831717513 15435,19854CorrelationX1j X2j Y1jX1j 1 0,461640451 0,994982363X2j 0,461640451 1 0,473988113Y1j 0,994982363 0,473988113 1DMUs with inappropriate Data with respect to the chosen <strong>Model</strong>No.DMUNoneNo. of DMUs 42Average 0,727890446SD 0,113294685Maximum 1Minimum 0,537870269Frequency in Reference SetReference Frequency to other DMUsCHAPARRAL 35PALOCABILDO 4ROVIRA 18No. of DMUs in Data = 42No. of DMUs with inappropriate Data = 0No. of evaluated DMUs = 42Average of scores = 0,727890446No. of efficient DMUs = 3No. of inefficient DMUs = 39No. of over iteration DMUs = 0[CCR-O] LP started at 07-07-2008 10:34:03 and completed at 07-07-2008 10:34:03Elapsed time = 1 secondsTotal number of simplex iterations = 123


Municipio (I) X1j (I) X2j (O) Y1jALPUJARRA 596,806 9,000000 2901ALVARADO 679,360 13,200000 3366AMBALEMA 849,339 14,400000 4407ANZOATEGUI 1102,102 3,500000 5806ATACO 2502,673 5,940000 12697CAJAMARCA 2114,418 15,021657 10941CARMEN DE APICALA 919,899 9,800000 4987CASABIANCA 636,509 15,378000 3381CHAPARRAL 2911,677 24,053650 21915COELLO 951,372 19,700000 5840CUNDAY 1394,648 13,200000 6344DOLORES 857,929 5,000000 4621ESPINAL 4860,853 21,690000 25114FALAN 885,534 9,000000 4286FLANDES 1813,703 25,216000 8607FRESNO 2809,556 8,518000 13266GUAMO 3523,476 14,400000 16127GUAYABAL-ARMERO 1386,975 17,313000 6764HERVEO 819,334 4,160000 4302HONDA 2054,184 41,171000 10070IBAGUE 20118,143 31,737000 102025LERIDA 1555,235 9,801000 7244LIBANO 2873,761 16,800000 13983MELGAR 3548,588 22,500000 16720MURILLO 591,575 7,440000 2818NATAGAIMA 3048,815 19,200000 14607ORTEGA 4866,455 17,346000 22992PALOCABILDO 937,638 0,937000 4646PIEDRAS 587,030 14,375000 2886PLANADAS 3755,108 19,874000 19353PRADO 1066,085 19,740000 6149PURIFICACION 3228,567 22,592000 20453RIOBLANCO 3606,043 10,680000 17235RONCESVALLES 952,910 14,400000 3954ROVIRA 2297,995 7,200000 14631SALDAÑA 1977,853 17,400000 8007SAN ANTONIO 1671,163 20,400000 8190SANTA ISABEL 704,994 12,000000 3820SUAREZ 707,380 6,800000 3243VALLE DE SAN JUAN 620,325 8,650000 3824VENADILLO 1320,150 15,120000 6777VILLA HERMOSA 1628,736 6,000000 6366

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