X - UWSpace - University of Waterloo

More documents

Recommendations

Info

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

for(iii=O; iii < (rowinfo[iI+l)/t - 1 ; iii++) ppp= ppp t Decomp->LastRow[2*iii+1] - ~ecomp-~~irs~owf2*iiit~~ ; isp = irw + Decomp->LascRow [O] - ~ecomp->~irstRow[rowinfo [il -11 +ppp; I* Store linking variable infornacion in different vector */ + , Define distribuced machines and executable files in each nachine*! where[l] = ~pardist~.uwaterloo.ca"; where[2] = "parc!ist2.uwaterloo.ca8; nheref31 = 'gardist3.uwaterloo.ca'; wherel31 = "pardist4.uwaterlootCa': if(nb,subs == 1) /* If only one processor is used */ exefile [Li = ,u/kjpark/pkdthesis;cbisj inl* : else exef ile[l] = " /u/hjpark/phdthesis/c!xisjinm ; exefiLe[2] = '.'u,hfpark/phdtkesis/c~isjin0; exef ilel3 1 = " i'u;hjpark/phdthesi~/ckisjinm; exef~le[4] = " l~/hjpark!phd~esis/chrisjino; * Ask each machine to star= each process *! for(k=l; k
* Pack initial &ta and send '/ for(k=l; k lo-bnds, SFb-n[k], LI; info = ptm~kdouble ( LpSub f k] ->up,bnds, SPb-n [k) , Il ; snfo = ptm-pklong ( LpSub [k] ->row,type, SPb,m(k] , 1) ; rcfo = pvn~kdouble (LpSubfkj ->rhs,SPb-rnfkl, l); izfo = pwm~kdouble (LpSubik] ->r&?ges, SPb-n[k: , 1) ; rf ~i~fa) princf ( ' 3-OR in packing data :O define the subproblem l l l 'in' 1 ; ,
Page 1 and 2:
A PARALLEL PRIMAL-DUAL DECOMPOSITIO
Page 3 and 4:
The University of Waterloo requires
Page 5 and 6:
WATPAR, and in each of the tests, t
Page 7 and 8:
To Soyoung and Katherine Eugene Par
Page 9 and 10:
3.5 Sumary and Observations on the
Page 11 and 12:
Table 4 . I Table 5.1 Table 5.2 Tab
Page 13 and 14:
Chapter 1 Introduction 1.1 Brief Hi
Page 15 and 16:
1.2 Motivation and Objectives of th
Page 17 and 18:
2. Pmve and dernonstrate the conver
Page 19 and 20:
Chapter 2 Literature Review This ch
Page 21 and 22:
Benders komposition Method In the B
Page 23 and 24:
in this algorithm, both subproblems
Page 25 and 26:
SIMD vs MIMD Panllel computers cm b
Page 27 and 28:
apan. In mmy LAN's, communication i
Page 29 and 30:
angular linear programs by fixing t
Page 31 and 32:
Chapter 3 Paralle1 Decomposition of
Page 33 and 34:
ound constraints. The two parts are
Page 35 and 36:
constnicted in the sarne way by res
Page 37 and 38:
1T 17 t-IT T nlk*'T )' and &'-' = (
Page 39 and 40:
a proposal is passed back to the fi
Page 41 and 42:
END - solve ; if it is infeasible o
Page 43 and 44:
l, and Theorem 3. lb mles out the p
Page 45 and 46:
nonlinking constraints and upper bo
Page 47 and 48:
(The "only if* part) If P is infeas
Page 49 and 50:
. - Thmm 3.6 Suppose (-ri. )Jik, VI
Page 51 and 52:
the optimal value has ken reached.
Page 53 and 54:
spfl, we have have k .J< k PI -1 -
Page 55 and 56:
zi - $' 5 z+ - &J-[, and by Theorem
Page 57 and 58:
Chapter 4 Paraiiel Decomposition of
Page 59 and 60:
upper bound constraints and nonnega
Page 61 and 62:
type subproblem. The lower bound su
Page 63 and 64:
An algorithm could be defined to ex
Page 65 and 66:
Figure 43 9-stage decomposition pri
Page 67 and 68:
combinations of known solutions of
Page 69 and 70:
lower bound subproblem (parts 1 and
Page 71 and 72:
&.',* and CI::;, are a 1 x (i - 1)
Page 73 and 74:
from the same aggregated subproblem
Page 75 and 76:
problems is discussed. Various prop
Page 77 and 78:
Processor 2 Step O. Set level I cou
Page 79 and 80:
- update and solve spi ; record opt
Page 81 and 82:
for the optimum by exchanging the p
Page 83 and 84:
The next result guarantees that in
Page 85 and 86:
fonn a nondecreasing senes of lower
Page 87 and 88:
one upper bound subproblem. The alg
Page 89 and 90: su, , for al1 i Note that when k= 1
Page 91 and 92: with proposals or cuts from other s
Page 93 and 94: - if t is an upper bound subproblem
Page 95 and 96: Proof : The Assumption guarantees t
Page 97 and 98: nNk-'. Proof : For i= 1.2. ... . N
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
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: SPb~[kl-+; 1 else ( if (rowinfoIi]
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 and 152: TERMINATE : ..,. Free up the proble
Page 153 and 154: short SolveProb(C3XEWptr env, CP.XL
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
show all

X - UWSpace - University of Waterloo

Create successful ePaper yourself

Delete template?

Save as template?