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Parallel solving large linear programming simplex method

st A x1 + ≤ 1x: +2 ≤ 6 A ≤ 12! + ≤ 6x1 ≥ O, ≥ 0 solution set maxL = 1 + st A I. + = 1, a 0 = C, B, and thus (1) Gn - '1 nG, D ~ Association: 1 (2) D) w00G2 a GID1lD2 \. [One..]) 0DT'D / = [. 21BO] Petrochemical Universities by the 1994 Blue (3) are +2. - 'Q + = 6,,, ≥ 0m \ into (4), there are: m \ t. 53 + 3 + a = a = 6,,, x6 ~> O by (6) to get: one by one hand a ÷ ÷ = l One then (7) into (5), are: + ÷ chu + number = 1 + + a {One to 【= 2,[link widoczny dla zalogowanych], = 2, = 1, = O. = 1, L = 0 is the optimal solution. mz: 4. Steps of the algorithm ( Cool

a. Find the optimal solution of L, if no solution, then L has no solution,[link widoczny dla zalogowanych], stop. b-base variable expression will be substituted L LB, if LL has no solution , the LP has no solution,[link widoczny dla zalogowanych], stop.. Will - based variable expression substituted into L base variable expression, if the constant /> 0, then get the optimal solution L, stop. d. If a variable expression on behalf of LB-based variables into the L-based expression, the constant term does not meet the ≥ O,[link widoczny dla zalogowanych], go to a.. Description: When the L-based variable expression or Ln-L expression is a basic variable has infinitely too variable Cuba, another paper. 4 GUO and so on. Parallel solving large linear programming simplex method shaggy velvet Reference 1BaddourahMA, NguycnDT. Parallel-VeCtorProcessingforLinearProgrammingComputStru ~ (LK). 1991.38 (3): 81 ~ 2692YangH, KimM. SolvingLarge-scaleLinearProgrammingProbierr ~ oi: 1Hypercub-ComputerTmnsInst. Electron . 1n ~ CommunEngE (Janpan), 1990,[link widoczny dla zalogowanych], E73 (10): 1722 ~ 17243TombiM-DecomposedBlockCholeskyFactorizat/onintheKarmarkarAlgorithmSolvingaClassofSuperLargeLPProblems. Comput. MathApp1. K), 1990,20 (2): I ~ 74 Huan-Wen Tang. Practical Introduction to Mathematical Programming . Dalian: Dalian Institute of Technology Press, 1986AParallelSimplexAlgorithmforSolvingSuperLargeLinearProgrammingGuoWeidongYangGuang (foot Course ~ TeachingDepartmentFu.gmnPe, 'ote ~ zaInstitute) GuoKai (81837UngUrger116000) AbstractAparallelsimplexalgorithmforsolvingsuperlargeLPispresented, inwhichprimaryPrimaryLPisdividedintoso /-F ~ sub-LP. andeverysub-LPcalculatedbvusingsimplexalgorithminacomputer. Amongcomputersn? / Akeeliminaton ∞ nductedasGaussElkninafionbyblock, thenbacksub -stitufingbyblock. optimalsolutionofori. maryLPwillbeobtainedwhencertainconditionissatisfied. KeywordsSuperlargeLP; Parallelalgori ~ m; Simplexalgorithm
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