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Hybrid metaheuristics for the profitable arc tour problem

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  • J Euchi

    (University of Sfax, GIAD Laboratory, Faculty of Economics and Management)

  • H Chabchoub

    (University of Sfax, IHEC Sfax)

Abstract

The profitable arc tour problem is a variant in the vehicle routing problems. It is included in the family of the vehicle routing with profit problems in which a set of vehicle tours are constructed. The objective is to find a set of cycles in the vehicle tours that maximize the collection of profits minus travel costs, subject to constraints limiting the length of cycles that profit is available on arcs. To solve this variant we adopted two metaheuristics based on adaptive memory. We show that our algorithms provide good results in terms of solution quality and running times.

Suggested Citation

  • J Euchi & H Chabchoub, 2011. "Hybrid metaheuristics for the profitable arc tour problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(11), pages 2013-2022, November.
    • Handle: RePEc:pal:jorsoc:v:62:y:2011:i:11:d:10.1057_jors.2010.179
    DOI: 10.1057/jors.2010.179
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    Cited by:

    1. Ávila, Thais & Corberán, Ángel & Plana, Isaac & Sanchis, José M., 2016. "A branch-and-cut algorithm for the profitable windy rural postman problem," European Journal of Operational Research, Elsevier, vol. 249(3), pages 1092-1101.
    2. Archetti, Claudia & Corberán, Ángel & Plana, Isaac & Sanchis, José Maria & Speranza, M. Grazia, 2015. "A matheuristic for the Team Orienteering Arc Routing Problem," European Journal of Operational Research, Elsevier, vol. 245(2), pages 392-401.
    3. Jan Pelikán & Petr Štourač & Ondřej Sokol, 2022. "Vehicle routing problem with uniform private fleet and common carrier: a node subset heuristic," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(2), pages 683-697, June.

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