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Multi-start and path relinking methods to deal with multiobjective knapsack problems

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  • Ricardo Beausoleil
  • Gulnara Baldoquin
  • Rodolfo Montejo

Abstract

This paper deals with a multiobjective combinatorial optimization problem called Extended Knapsack Problem. By applying multi-start search and path relinking we rapidly guide the search toward the most balanced zone of the Pareto-optimal front. The Pareto relation is applied in order to designate a subset of the best generated solutions to be the current efficient set of solutions. The max-min criterion with the Hamming distance is used as a measure of dissimilarity in order to find diverse solutions to be combined. The performance of our approach is compared with several state-of-the-art MOEAs for a suite test problems taken from the literature. Copyright Springer Science+Business Media, LLC 2008

Suggested Citation

  • Ricardo Beausoleil & Gulnara Baldoquin & Rodolfo Montejo, 2008. "Multi-start and path relinking methods to deal with multiobjective knapsack problems," Annals of Operations Research, Springer, vol. 157(1), pages 105-133, January.
    • Handle: RePEc:spr:annopr:v:157:y:2008:i:1:p:105-133:10.1007/s10479-007-0199-8
    DOI: 10.1007/s10479-007-0199-8
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    References listed on IDEAS

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    1. Beausoleil, Ricardo P., 2006. ""MOSS" multiobjective scatter search applied to non-linear multiple criteria optimization," European Journal of Operational Research, Elsevier, vol. 169(2), pages 426-449, March.
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    Cited by:

    1. Michael Johnson & David Turcotte & Felicia Sullivan, 2010. "What Foreclosed Homes Should a Municipality Purchase to Stabilize Vulnerable Neighborhoods?," Networks and Spatial Economics, Springer, vol. 10(3), pages 363-388, September.
    2. Martí, Rafael & Resende, Mauricio G.C. & Ribeiro, Celso C., 2013. "Multi-start methods for combinatorial optimization," European Journal of Operational Research, Elsevier, vol. 226(1), pages 1-8.

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