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Could we use a million cores to solve an integer program?

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  • Thorsten Koch
  • Ted Ralphs
  • Yuji Shinano

Abstract

Given the steady increase in cores per CPU, it is only a matter of time before supercomputers will have a million or more cores. In this article, we investigate the opportunities and challenges that will arise when trying to utilize this vast computing power to solve a single integer linear optimization problem. We also raise the question of whether best practices in sequential solution of ILPs will be effective in massively parallel environments. Copyright Springer-Verlag 2012

Suggested Citation

  • Thorsten Koch & Ted Ralphs & Yuji Shinano, 2012. "Could we use a million cores to solve an integer program?," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 76(1), pages 67-93, August.
    • Handle: RePEc:spr:mathme:v:76:y:2012:i:1:p:67-93
    DOI: 10.1007/s00186-012-0390-9
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    Cited by:

    1. Lluís-Miquel Munguía & Shabbir Ahmed & David A. Bader & George L. Nemhauser & Yufen Shao, 2018. "Alternating criteria search: a parallel large neighborhood search algorithm for mixed integer programs," Computational Optimization and Applications, Springer, vol. 69(1), pages 1-24, January.
    2. Luke Mason & Vicky Mak-Hau & Andreas Ernst, 2015. "A parallel optimisation approach for the realisation problem in intensity modulated radiotherapy treatment planning," Computational Optimization and Applications, Springer, vol. 60(2), pages 441-477, March.
    3. Yuji Shinano & Stefan Heinz & Stefan Vigerske & Michael Winkler, 2018. "FiberSCIP—A Shared Memory Parallelization of SCIP," INFORMS Journal on Computing, INFORMS, vol. 30(1), pages 11-30, February.
    4. Lluís-Miquel Munguía & Geoffrey Oxberry & Deepak Rajan & Yuji Shinano, 2019. "Parallel PIPS-SBB: multi-level parallelism for stochastic mixed-integer programs," Computational Optimization and Applications, Springer, vol. 73(2), pages 575-601, June.
    5. Martin Branda, 2013. "On relations between chance constrained and penalty function problems under discrete distributions," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(2), pages 265-277, April.
    6. Timo Berthold, 2018. "A computational study of primal heuristics inside an MI(NL)P solver," Journal of Global Optimization, Springer, vol. 70(1), pages 189-206, January.
    7. Ivo Nowak & Norman Breitfeld & Eligius M. T. Hendrix & Grégoire Njacheun-Njanzoua, 2018. "Decomposition-based Inner- and Outer-Refinement Algorithms for Global Optimization," Journal of Global Optimization, Springer, vol. 72(2), pages 305-321, October.
    8. Matteo Fischetti & Michele Monaci, 2014. "Exploiting Erraticism in Search," Operations Research, INFORMS, vol. 62(1), pages 114-122, February.

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    Keywords

    Integer programming; Parallelization;

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