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ASYNPLEX, an asynchronous parallelrevised simplex algorithm

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  • J. Hall
  • K. McKinnon

Abstract

This paper describes ASYNPLEX, an asynchronous variant of the revised simplex methodwhich is suitable for parallel implementation on a shared memory multiprocessor or MIMDcomputer with fast inter-processor communication. The method overlaps simplex iterationson different processors. Candidates to enter the basis are tentatively selected using reducedcosts which may be out of date. Later, the up-to-date reduced costs of the tentative candidatesare calculated and candidates are either discarded or accepted to enter the basis. The implementationof this algorithm on a Cray T3D is described and results demonstrating significantspeed-up are presented. Copyright Kluwer Academic Publishers 1998

Suggested Citation

  • J. Hall & K. McKinnon, 1998. "ASYNPLEX, an asynchronous parallelrevised simplex algorithm," Annals of Operations Research, Springer, vol. 81(0), pages 27-50, June.
    • Handle: RePEc:spr:annopr:v:81:y:1998:i:0:p:27-50:10.1023/a:1018957107705
    DOI: 10.1023/A:1018957107705
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    Cited by:

    1. Péter Tar & Bálint Stágel & István Maros, 2017. "Parallel search paths for the simplex algorithm," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(4), pages 967-984, December.
    2. Ploskas, Nikolaos & Samaras, Nikolaos, 2015. "Efficient GPU-based implementations of simplex type algorithms," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 552-570.

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