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Multiobjective GRASP with Path Relinking

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  • Martí, Rafael
  • Campos, Vicente
  • Resende, Mauricio G.C.
  • Duarte, Abraham

Abstract

In this paper we review and propose different adaptations of the GRASP metaheuristic to solve multiobjective combinatorial optimization problems. In particular, we describe several alternatives to specialize the construction and improvement components of GRASP when two or more objectives are considered. GRASP has been successfully coupled with Path Relinking for single-objective optimization. Moreover, we propose different hybridizations of GRASP and Path Relinking for multiobjective optimization. We apply the proposed GRASP with Path Relinking variants to two combinatorial optimization problems, the biobjective orienteering problem and the biobjective path dissimilarity problem. We report on empirical tests with 70 instances and 30 algorithms, that show that the proposed heuristics are competitive with the state-of-the-art methods for these problems.

Suggested Citation

  • Martí, Rafael & Campos, Vicente & Resende, Mauricio G.C. & Duarte, Abraham, 2015. "Multiobjective GRASP with Path Relinking," European Journal of Operational Research, Elsevier, vol. 240(1), pages 54-71.
    • Handle: RePEc:eee:ejores:v:240:y:2015:i:1:p:54-71
    DOI: 10.1016/j.ejor.2014.06.042
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    References listed on IDEAS

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    4. Paquete, Luis & Stutzle, Thomas, 2006. "A study of stochastic local search algorithms for the biobjective QAP with correlated flow matrices," European Journal of Operational Research, Elsevier, vol. 169(3), pages 943-959, March.
    5. José Arroyo & Pedro Vieira & Dalessandro Vianna, 2008. "A GRASP algorithm for the multi-criteria minimum spanning tree problem," Annals of Operations Research, Springer, vol. 159(1), pages 125-133, March.
    6. Delorme, Xavier & Gandibleux, Xavier & Degoutin, Fabien, 2010. "Evolutionary, constructive and hybrid procedures for the bi-objective set packing problem," European Journal of Operational Research, Elsevier, vol. 204(2), pages 206-217, July.
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    Cited by:

    1. Aymeric Blot & Marie-Éléonore Kessaci & Laetitia Jourdan, 2018. "Survey and unification of local search techniques in metaheuristics for multi-objective combinatorial optimisation," Journal of Heuristics, Springer, vol. 24(6), pages 853-877, December.
    2. Raka Jovanovic & Antonio P. Sanfilippo & Stefan Voß, 2022. "Fixed set search applied to the multi-objective minimum weighted vertex cover problem," Journal of Heuristics, Springer, vol. 28(4), pages 481-508, August.
    3. Ivorra, Benjamin & Mohammadi, Bijan & Manuel Ramos, Angel, 2015. "A multi-layer line search method to improve the initialization of optimization algorithms," European Journal of Operational Research, Elsevier, vol. 247(3), pages 711-720.
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    5. Pushak, Yasha & Hare, Warren & Lucet, Yves, 2016. "Multiple-path selection for new highway alignments using discrete algorithms," European Journal of Operational Research, Elsevier, vol. 248(2), pages 415-427.

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