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Negative Effects of Modeling Techniques on Search Performance

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  • S. Prestwich

Abstract

Symmetries occur in many combinatorial problems, and a great deal of research has been done on symmetry breaking techniques for backtrack search. However, few results have been reported on the use of symmetry breaking with local search. On four classes of problem we find that adding symmetry breaking constraints to a model impairs local search performance, in terms of both execution time and search steps. We also find that implied constraints can impair backtrack search performance. These results show that modeling techniques and search heuristics should be combined with caution. They also motivate a novel modeling technique for local search: removing constraints to add new symmetries. Copyright Kluwer Academic Publishers 2003

Suggested Citation

  • S. Prestwich, 2003. "Negative Effects of Modeling Techniques on Search Performance," Annals of Operations Research, Springer, vol. 118(1), pages 137-150, February.
    • Handle: RePEc:spr:annopr:v:118:y:2003:i:1:p:137-150:10.1023/a:1021809724362
    DOI: 10.1023/A:1021809724362
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    Cited by:

    1. Frédéric Lardeux & Eric Monfroy & Broderick Crawford & Ricardo Soto, 2015. "Set constraint model and automated encoding into SAT: application to the social golfer problem," Annals of Operations Research, Springer, vol. 235(1), pages 423-452, December.
    2. Steven Prestwich, 2007. "Exploiting relaxation in local search for LABS," Annals of Operations Research, Springer, vol. 156(1), pages 129-141, December.
    3. David Rodríguez Rueda & Carlos Cotta & Antonio J. Fernández-Leiva, 2021. "Metaheuristics for the template design problem: encoding, symmetry and hybridisation," Journal of Intelligent Manufacturing, Springer, vol. 32(2), pages 559-578, February.

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