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MCS—A new algorithm for multicriteria optimisation in constraint programming

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  • F. Huédé
  • M. Grabisch
  • C. Labreuche
  • P. Savéant

Abstract

In this paper we propose a new algorithm called MCS for the search for solutions to multicriteria combinatorial optimisation problems. To quickly produce a solution that offers a good trade-off between criteria, the MCS algorithm alternates several Branch & Bound searches following diversified search strategies. It is implemented in CP in a dedicated framework and can be specialised for either complete or partial search. Copyright Springer Science + Business Media, LLC 2006

Suggested Citation

  • F. Huédé & M. Grabisch & C. Labreuche & P. Savéant, 2006. "MCS—A new algorithm for multicriteria optimisation in constraint programming," Annals of Operations Research, Springer, vol. 147(1), pages 143-174, October.
    • Handle: RePEc:spr:annopr:v:147:y:2006:i:1:p:143-174:10.1007/s10479-006-0064-1
    DOI: 10.1007/s10479-006-0064-1
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    References listed on IDEAS

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    1. Christophe Labreuche & Michel Grabisch, 2003. "The Choquet integral for the aggregation of interval scales in multicriteria decision making," Post-Print hal-00272090, HAL.
    2. Grabisch, Michel, 1996. "The application of fuzzy integrals in multicriteria decision making," European Journal of Operational Research, Elsevier, vol. 89(3), pages 445-456, March.
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    Cited by:

    1. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    2. Qu, Rong & Burke, Edmund K. & McCollum, Barry, 2009. "Adaptive automated construction of hybrid heuristics for exam timetabling and graph colouring problems," European Journal of Operational Research, Elsevier, vol. 198(2), pages 392-404, October.
    3. Mikhail Timonin, 2012. "Maximization of the Choquet integral over a convex set and its application to resource allocation problems," Annals of Operations Research, Springer, vol. 196(1), pages 543-579, July.
    4. Alejandro Cataldo & Juan-Carlos Ferrer & Jaime Miranda & Pablo A. Rey & Antoine Sauré, 2017. "An integer programming approach to curriculum-based examination timetabling," Annals of Operations Research, Springer, vol. 258(2), pages 369-393, November.

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