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DOI: 10.4230/LIPIcs.SEA.2017.6
URN: urn:nbn:de:0030-drops-76236
URL: http://drops.dagstuhl.de/opus/volltexte/2017/7623/
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Gottwald, Robert Lion ; Maher, Stephen J. ; Shinano, Yuji

Distributed Domain Propagation

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LIPIcs-SEA-2017-6.pdf (0.5 MB)


Abstract

Portfolio parallelization is an approach that runs several solver instances in parallel and terminates when one of them succeeds in solving the problem. Despite its simplicity, portfolio parallelization has been shown to perform well for modern mixed-integer programming (MIP) and boolean satisfiability problem (SAT) solvers. Domain propagation has also been shown to be a simple technique in modern MIP and SAT solvers that effectively finds additional domain reductions after the domain of a variable has been reduced. In this paper we introduce distributed domain propagation, a technique that shares bound tightenings across solvers to trigger further domain propagations. We investigate its impact in modern MIP solvers that employ portfolio parallelization. Computational experiments were conducted for two implementations of this parallelization approach. While both share global variable bounds and solutions, they communicate differently. In one implementation the communication is performed only at designated points in the solving process and in the other it is performed completely asynchronously. Computational experiments show a positive performance impact of communicating global variable bounds and provide valuable insights in communication strategies for parallel solvers.

BibTeX - Entry

@InProceedings{gottwald_et_al:LIPIcs:2017:7623,
  author =	{Robert Lion Gottwald and Stephen J. Maher and Yuji Shinano},
  title =	{{Distributed Domain Propagation}},
  booktitle =	{16th International Symposium on Experimental Algorithms (SEA 2017)},
  pages =	{6:1--6:11},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-036-1},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{75},
  editor =	{Costas S. Iliopoulos and Solon P. Pissis and Simon J. Puglisi and Rajeev Raman},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7623},
  URN =		{urn:nbn:de:0030-drops-76236},
  doi =		{10.4230/LIPIcs.SEA.2017.6},
  annote =	{Keywords: mixed integer programming, parallelization, domain propagation, portfolio solvers}
}

Keywords: mixed integer programming, parallelization, domain propagation, portfolio solvers
Seminar: 16th International Symposium on Experimental Algorithms (SEA 2017)
Issue Date: 2017
Date of publication: 03.08.2017


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