<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
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24 LIBANO 1,089427707Insumo 1 16,66
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MunicipioDMUPALOCABILDONATAGAIMACAJ
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1 ALPUJARRA ALPUJARRA 1 1,00002 ALV
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Unit name Actual (I) Insumo 1 Actua
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1 ALPUJARRA 21 42 IBAGUE 0,0033 SUA
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Model Name = DEA-Solver Pro5.0/ CCR
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Producto 1 84,07 98,609068 14,53906
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MunicipioDMUPALOCABILDOPLANADASCAJA
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le-CCR-O.xlsx
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Workbook Name = C:\Documents and Se
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Model name = BCC-IWokbook name = C:
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Model Name = BCC-IWorkbook Name = C
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Insumo 2 1 1 0 0,00%Producto 1 4892
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Producto 2 2340 14245,65253 11905,6
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MunicipioDMUVILLA RICAVENADILLOSUAR
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In Rank orderRankDMU Score1 VILLA R
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er 1.xlsx
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50040030020010000 5000 10000 15000
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Producto 1 1072224 4817996,591 3745
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MunicipioDMUVILLA RICAVENADILLOSUAR
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DEA model = DEA-Solver LV3.0/ BCC(B
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30020010000 5000 10000 15000 20000
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1 ALPUJARRA 19 0,96200160 22 0,0379
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Unit name Actual (I) Insumo 1 Actua
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No. Municipio1 ALPUJARRA IBAGUE 22
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No. DMU Score VX(1) Insumo 1 VX(2)
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No. DMU ScoreI/O Data Projection Di
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Producto 1 48927268 48927268 0 0,00
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Producto 1 528748 528748 0 0,00%Pro
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MunicipioDMUVILLA RICAVENADILLOSUAR
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No. DMU Score Rank Reference set (l
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Municipio (I) Insumo 1 (I) Insumo 2
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No. DMU Score VX(0) VX(1) X1j VX(2)
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No. DMU 1/ScoreI/O Data Projection
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X2j 650,2299429 650,2299429 0 0,00%
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DMUjDMUCOYAIMAORTEGASAN LUISPLANADA
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Rank DMU Score1 RONCESVALLES11 IBAG
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IBAGUE 7,39E-03IBAGUE 2,63E-02IBAGU
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is Envolvente de Datos DEA Trabajo
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DMU j (I) X 1j (I) X 2j (O) Y 1jALP
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Municipio Insumo 1 Insumo 2 Product
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No. Municipio CCR (ETG) BCC (ETP) E
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No. DMU Score VX(1) X1j VX(2) X2j1
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X2j 1183,163503 1027,670062 -155,49
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da < Infinity)
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DMUjDMUVILLA RICAVENADILLOSUAREZSAN
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Model Name = DEA-Solver Pro5.0/ CCR
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DEA model = DEA-Solver LV3.0/ CCR(C
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No. DMU j λj1 ALPUJARRA 22 0,02318
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is Envolvente de Datos DEA Trabajo
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Excess Excess Excess ShortageNo. DM
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12 CUNDAY 1,566806218Insumo 1 116 1
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Insumo 3 10448,67 10448,67 0 0,00%P
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MunicipioDMUICONONZOALVARADOSAN LUI
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IBAGUE 0,009713199 PLANADAS 5,96E-0
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Total number of simplex iterations
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j MunicipioConjunto de Municipios d
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Municipio I 1 P (%) I 2 P (%) I 3 P
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No. Municipio CCR (ETG) BCC (ETP) E
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da < Infinity)
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a < Infinity)e Datos DEA Trabajo de
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Producto 3206 5164,863192 1958,8631
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Insumo 2 498,36 311,0021068 -187,35
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MunicipioDMUCUNDAYICONONZOALVARADOC
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Sum of Lambda < Infinity)rence set
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Municipio (I) Insumo 1 (I) Insumo 2
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No. DMU j λj j λj j λj ∑λ1 AL
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Total014142
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a PAI-BCC-O (Sin Insumo 1).xlsx
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Model Name = DEA-Solver Pro5.0/ BCC
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39 VALLE DE SAN 2,172527473JUANX2j
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MunicipioDMUVILLA HERMOSAVALLE DE S
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Model Name = DEA-Solver Pro5.0/ BCC
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- Page 218 and 219: 30 PLANADAS 4,468581688X1j 34,014 3
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