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Using local search to speed up filtering algorithms for some NP-hard constraints

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  • Philippe Galinier
  • Alain Hertz
  • Sandrine Paroz
  • Gilles Pesant

Abstract

This paper proposes to use local search inside filtering algorithms of combinatorial structures for which achieving a desired level of consistency is too computationally expensive. Local search quickly provides supports for many variable-value pairs, thus reducing the effort required to check and potentially filter the rest of them. The idea is demonstrated on the SomeDifferent constraint, a graph coloring substructure. An experimental evaluation confirms its significant computational gain in many cases. Copyright Springer Science+Business Media, LLC 2011

Suggested Citation

  • Philippe Galinier & Alain Hertz & Sandrine Paroz & Gilles Pesant, 2011. "Using local search to speed up filtering algorithms for some NP-hard constraints," Annals of Operations Research, Springer, vol. 184(1), pages 121-135, April.
    • Handle: RePEc:spr:annopr:v:184:y:2011:i:1:p:121-135:10.1007/s10479-010-0715-0
    DOI: 10.1007/s10479-010-0715-0
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    References listed on IDEAS

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    1. Michel Gendreau & Alain Hertz & Gilbert Laporte, 1994. "A Tabu Search Heuristic for the Vehicle Routing Problem," Management Science, INFORMS, vol. 40(10), pages 1276-1290, October.
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