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$uWaterloo LaTeX Thesis Template - UWSpace - University of Waterloo$

fp = fopen('/u/hjpark/phdthesis/c~isjin.out~,'a*~; fprintf(fp,' ERROR in unpacking data to define the subproblem !!!\na); /* Find the number of accumulated linking variables and constraints */ HISPb-m = (long '1 malloc((nb,subs + l)*siteof(long)); HISPb-n = (long *) malloc((nb,subs + I)*sizeof(longl); info = pvm-upklong ( LpSub[cur-Slockl->mmbs, SPb-nt[cur,block], 1) ; info = pt-upkdouble ( LpSi;b[cur-blockj-~oeffç, SPb-nz[cur,block], Il; info = pvm-upklong ( LpSub[cur,blockl->crpnts, SPb,n[cur-blockl+l, 1); info = pvm-upkdouble ( LpSub[cur-blockl->lo-bnds, SPb-n[cur-block], 11; inf O = pvm-upkdouble ( LpSub Icur-block] ->up,bnds, SPb-n [cur-blockl , 1) ; info = pvm-upklong ( LpÇub[cur,Slockl->row-tme, SPb,m[--block],l); info = pvm-upkdouble (LpSub[~ur~blockl-~rhs,SPb~m[c~~~b1ockj,1~; info = pvm-upkdouble (LpSub[cur,blockl->ranges, SPb-m[cur,blockJ,1); if (info c 0) fp = £open( '/u/hjpark/phdtfiesis/c~isjin.outW , 'a* 1 ; fprintf(fp,' ERROR in unpacking data to define the subproblem !!!\cm); !* Take the program end the and measuxe ~otal program the */ gettimeofdayt&tvl, (stnct timezone*)O); edt = (double) (tv1.t~-sec) - 1300C00 t cvL.cv-usec; fp = fopen( *, u/ hjpark/phdthesis/ chrisjinnoutm, "a*) ; fprintf(fp, 'Total program rime : %8f\n9, (edt-idt)/1000000); fcloset fpl ; t t t t r t * ~ t ~ t 8 t ~ t t t t ~ t t ~ ~ ~ ~ * t t 8 e ~ ~ ~ r ~ e * r t ~ ~ ~ ~ ~ ~ e r t ~ C.2 Processor 2 : Upper-Uppr Bound Subproblem FILES. VARIABLES * Cornute the prima1 info,.r=nation (LY and 3X) :O send */ Fnt i, j, p;
short SolveProb(C3XEWptr env, CP.XL?ptr Ip) L .... SOLE WU SUEIPROBLEM AND WRITF ESDLTS TO OUTPU? FILE .... Add lower level cï: ÿsiag 5ual proposal of upper-lower bond subproblem (processcr 4 ). A new cxt is always added at the end of the constraints, SC . . 6; r ,,..di?.g =k,e tctal z&er of canstraints rs rmpoxtmt*/ AddlevfCucs(LpSub2~3b **LpS&, C?.EXVpïr env, C?XL?ptr lp)
Page 1 and 2:
A PARALLEL PRIMAL-DUAL DECOMPOSITIO
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The University of Waterloo requires
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WATPAR, and in each of the tests, t
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To Soyoung and Katherine Eugene Par
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3.5 Sumary and Observations on the
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Table 4 . I Table 5.1 Table 5.2 Tab
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Chapter 1 Introduction 1.1 Brief Hi
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1.2 Motivation and Objectives of th
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2. Pmve and dernonstrate the conver
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Chapter 2 Literature Review This ch
Page 21 and 22:
Benders komposition Method In the B
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in this algorithm, both subproblems
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SIMD vs MIMD Panllel computers cm b
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apan. In mmy LAN's, communication i
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angular linear programs by fixing t
Page 31 and 32:
Chapter 3 Paralle1 Decomposition of
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ound constraints. The two parts are
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constnicted in the sarne way by res
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1T 17 t-IT T nlk*'T )' and &'-' = (
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a proposal is passed back to the fi
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END - solve ; if it is infeasible o
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l, and Theorem 3. lb mles out the p
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nonlinking constraints and upper bo
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(The "only if* part) If P is infeas
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. - Thmm 3.6 Suppose (-ri. )Jik, VI
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the optimal value has ken reached.
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spfl, we have have k .J< k PI -1 -
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zi - $' 5 z+ - &J-[, and by Theorem
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Chapter 4 Paraiiel Decomposition of
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upper bound constraints and nonnega
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type subproblem. The lower bound su
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An algorithm could be defined to ex
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Figure 43 9-stage decomposition pri
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combinations of known solutions of
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lower bound subproblem (parts 1 and
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&.',* and CI::;, are a 1 x (i - 1)
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from the same aggregated subproblem
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problems is discussed. Various prop
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Processor 2 Step O. Set level I cou
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- update and solve spi ; record opt
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for the optimum by exchanging the p
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The next result guarantees that in
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fonn a nondecreasing senes of lower
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one upper bound subproblem. The alg
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su, , for al1 i Note that when k= 1
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with proposals or cuts from other s
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- if t is an upper bound subproblem
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Proof : The Assumption guarantees t
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nNk-'. Proof : For i= 1.2. ... . N
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Chapter 5 Preliminary Implementatio
Page 101 and 102: 5.1.1 Decomposition Phase In the de
Page 103 and 104: NB,~,PEI 8 # Selectmg the rows ROWS
Page 105 and 106: Figure 53 Example of multi-part str
Page 107 and 108: in each computer as discussed in Ch
Page 109 and 110: followiag 4 parts: scenarios 1 to 1
Page 111 and 112: "WSET' is the time taken on the RSI
Page 113 and 114: esults of the parallel decompositio
Page 115 and 116: Table 5.6 Performance of Parailel D
Page 117 and 118: We dso anaiyzed the speed-ups and e
Page 119 and 120: Chapter 6 Conclusions and Future Re
Page 121 and 122: 8. tested several models for conver
Page 123 and 124: computational speed for some real w
Page 125 and 126: APPENDIX A GAMS codes of the test m
Page 127 and 128: hydrA 25, ...., hydrZ 1s /; paramet
Page 129 and 130: NwatBal(hydro,u,pericds,senarios1 .
Page 131 and 132: hydrEI 1100, hydrB 1200, ..... hydr
Page 133 and 134: VARIABLES En 'Expectation of the ut
Page 135 and 136: APPENDIX B The C codes of WSET We p
Page 137 and 138: k denoces an index of SubProblern t
Page 139 and 140: SPb~[kl-+; 1 else ( if (rowinfoIi]
Page 141 and 142: * Pack initial &ta and send '/ for(
Page 143 and 144: Appendiv C C codes of WATPAR We pre
Page 145 and 146: if (LpSub [k] ->rwnmbs [pl > HISPb-
Page 147 and 148: * Use advanced basis at each iterat
Page 149 and 150: status = CPXnewcols (env,lp, 1, &Lp
Page 151: TERMINATE : ..,. Free up the proble
Page 155 and 156: variables and add other part's link
Page 157 and 158: i* Add a cut for upper level iterat
Page 159 and 160: C3 Proecssor 3 : Lower-Upper Bound
Page 161 and 162: t for(k=l; k c icer-count; k+-1 sta
Page 163 and 164: { gectimeofday(&tvl, (struct cimezo
Page 165 and 166: i status = CPXchgcoef(env, lp, (int
Page 167 and 168: status = AddLamcols ( LpSub, env, I
Page 169 and 170: BIBLIOGRAPHY Aardal. K. And A. An.
Page 171 and 172: Computation". Mathematical Programm
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