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The selective traveling salesman problem with draft limits

Author

Listed:
  • Shahin Gelareh

    (Université d’Artois)

  • Bernard Gendron

    (Université de Montréal)

  • Saïd Hanafi

    (Université Polytechnique Hauts-de-France)

  • Rahimeh Neamatian Monemi

    (University of Southampton)

  • Raca Todosijević

    (Université Polytechnique Hauts-de-France)

Abstract

This paper introduces the selective traveling salesman problem with draft limits, an extension of the traveling salesman problem with draft limits, wherein the goal is to design a maximum profit tour respecting draft limit constraints at the visited nodes. We propose a mixed integer linear programming (MILP) formulation for this problem. This MILP model is used to solve—to optimality—small size instances and to assess the quality of solutions obtained using a general variable neighborhood search heuristic that explores several neighborhood structures. Our extensive computational experiments confirm the efficiency of the method and the quality of the reported solutions.

Suggested Citation

  • Shahin Gelareh & Bernard Gendron & Saïd Hanafi & Rahimeh Neamatian Monemi & Raca Todosijević, 2020. "The selective traveling salesman problem with draft limits," Journal of Heuristics, Springer, vol. 26(3), pages 339-352, June.
    • Handle: RePEc:spr:joheur:v:26:y:2020:i:3:d:10.1007_s10732-019-09406-z
    DOI: 10.1007/s10732-019-09406-z
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    References listed on IDEAS

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    1. Pierre Hansen & Nenad Mladenović & José Moreno Pérez, 2010. "Variable neighbourhood search: methods and applications," Annals of Operations Research, Springer, vol. 175(1), pages 367-407, March.
    2. Pierre Hansen & Nenad Mladenović & Raca Todosijević & Saïd Hanafi, 2017. "Variable neighborhood search: basics and variants," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 5(3), pages 423-454, September.
    3. Gerhard Reinelt, 1991. "TSPLIB—A Traveling Salesman Problem Library," INFORMS Journal on Computing, INFORMS, vol. 3(4), pages 376-384, November.
    4. Bruce L. Golden & Larry Levy & Rakesh Vohra, 1987. "The orienteering problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(3), pages 307-318, June.
    5. Dominique Feillet & Pierre Dejax & Michel Gendreau, 2005. "Traveling Salesman Problems with Profits," Transportation Science, INFORMS, vol. 39(2), pages 188-205, May.
    6. Battarra, Maria & Pessoa, Artur Alves & Subramanian, Anand & Uchoa, Eduardo, 2014. "Exact algorithms for the traveling salesman problem with draft limits," European Journal of Operational Research, Elsevier, vol. 235(1), pages 115-128.
    7. Vansteenwegen, Pieter & Souffriau, Wouter & Oudheusden, Dirk Van, 2011. "The orienteering problem: A survey," European Journal of Operational Research, Elsevier, vol. 209(1), pages 1-10, February.
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    Cited by:

    1. Bijun Wang & Zheyong Bian & Mo Mansouri, 2023. "Self-adaptive heuristic algorithms for the dynamic and stochastic orienteering problem in autonomous transportation system," Journal of Heuristics, Springer, vol. 29(1), pages 77-137, February.

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