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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
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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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- Page 31 and 32: Chapter 3 Paralle1 Decomposition of
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- Page 37 and 38: 1T 17 t-IT T nlk*'T )' and &'-' = (
- Page 39 and 40: a proposal is passed back to the fi
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- Page 43 and 44: l, and Theorem 3. lb mles out the p
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- Page 47 and 48: (The "only if* part) If P is infeas
- Page 49 and 50: . - Thmm 3.6 Suppose (-ri. )Jik, VI
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- Page 55 and 56: zi - $' 5 z+ - &J-[, and by Theorem
- Page 57 and 58: Chapter 4 Paraiiel Decomposition of
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- Page 77 and 78: Processor 2 Step O. Set level I cou
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- Page 91 and 92: with proposals or cuts from other s
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- Page 95 and 96: Proof : The Assumption guarantees t
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- Page 99 and 100: 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
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- Page 109 and 110: followiag 4 parts: scenarios 1 to 1
- Page 111 and 112: "WSET' is the time taken on the RSI
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- Page 115 and 116: Table 5.6 Performance of Parailel D
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- Page 125 and 126: APPENDIX A GAMS codes of the test m
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hydrEI 1100, hydrB 1200, ..... hydr
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VARIABLES En 'Expectation of the ut
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APPENDIX B The C codes of WSET We p
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k denoces an index of SubProblern t
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SPb~[kl-+; 1 else ( if (rowinfoIi]
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* Pack initial &ta and send '/ for(
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Appendiv C C codes of WATPAR We pre
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if (LpSub [k] ->rwnmbs [pl > HISPb-
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* Use advanced basis at each iterat
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status = CPXnewcols (env,lp, 1, &Lp
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TERMINATE : ..,. Free up the proble
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short SolveProb(C3XEWptr env, CP.XL
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variables and add other part's link
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i* Add a cut for upper level iterat
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C3 Proecssor 3 : Lower-Upper Bound
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t for(k=l; k c icer-count; k+-1 sta
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{ gectimeofday(&tvl, (struct cimezo
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i status = CPXchgcoef(env, lp, (int
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status = AddLamcols ( LpSub, env, I
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BIBLIOGRAPHY Aardal. K. And A. An.
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Computation". Mathematical Programm