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A tabu search algorithm for the periodic vehicle routing problem with multiple vehicle trips and accessibility restrictions

Author

Listed:
  • F Alonso

    (Universidad de Navarra)

  • M J Alvarez

    (Universidad de Navarra)

  • J E Beasley

    (Brunel University)

Abstract

In this paper, we consider a periodic vehicle routing problem that includes, in addition to the classical constraints, the possibility of a vehicle doing more than one route per day, as long as the maximum daily operation time for the vehicle is not exceeded. In addition, some constraints relating to accessibility of the vehicles to the customers, in the sense that not every vehicle can visit every customer, must be observed. We refer to the problem we consider here as the site-dependent multi-trip periodic vehicle routing problem. An algorithm based on tabu search is presented for the problem and computational results presented on randomly generated test problems that are made publicly available. Our algorithm is also tested on a number of routing problems from the literature that constitute particular cases of the proposed problem. Specifically we consider the periodic vehicle routing problem; the site-dependent vehicle routing problem; the multi-trip vehicle routing problem; and the classical vehicle routing problem. Computational results for our tabu search algorithm on test problems taken from the literature for all of these problems are presented.

Suggested Citation

  • F Alonso & M J Alvarez & J E Beasley, 2008. "A tabu search algorithm for the periodic vehicle routing problem with multiple vehicle trips and accessibility restrictions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(7), pages 963-976, July.
  • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:7:d:10.1057_palgrave.jors.2602405
    DOI: 10.1057/palgrave.jors.2602405
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    References listed on IDEAS

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    2. Diego Cattaruzza & Nabil Absi & Dominique Feillet, 2018. "Vehicle routing problems with multiple trips," Annals of Operations Research, Springer, vol. 271(1), pages 127-159, December.
    3. Paraskevopoulos, Dimitris C. & Laporte, Gilbert & Repoussis, Panagiotis P. & Tarantilis, Christos D., 2017. "Resource constrained routing and scheduling: Review and research prospects," European Journal of Operational Research, Elsevier, vol. 263(3), pages 737-754.
    4. Cattaruzza, Diego & Absi, Nabil & Feillet, Dominique & Vidal, Thibaut, 2014. "A memetic algorithm for the Multi Trip Vehicle Routing Problem," European Journal of Operational Research, Elsevier, vol. 236(3), pages 833-848.
    5. Ho, Sin C. & Leung, Janny M.Y., 2010. "Solving a manpower scheduling problem for airline catering using metaheuristics," European Journal of Operational Research, Elsevier, vol. 202(3), pages 903-921, May.
    6. Vidal, Thibaut & Crainic, Teodor Gabriel & Gendreau, Michel & Prins, Christian, 2013. "Heuristics for multi-attribute vehicle routing problems: A survey and synthesis," European Journal of Operational Research, Elsevier, vol. 231(1), pages 1-21.
    7. Diego Cattaruzza & Nabil Absi & Dominique Feillet, 2016. "Vehicle routing problems with multiple trips," 4OR, Springer, vol. 14(3), pages 223-259, September.
    8. S Coene & A Arnout & F C R Spieksma, 2010. "On a periodic vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(12), pages 1719-1728, December.
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