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The k-dissimilar vehicle routing problem

Author

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  • TALARICO, Luca
  • SÖRENSEN, Kenneth
  • SPRINGAEL, Johan

Abstract

In this paper we define a new problem, the aim of which is to find a set of k dissimilar alternative solutions for a vehicle routing problem (VRP) on a single instance. This problem has several practical applications in the cash-in-transit sector and in the transportation of hazardous materials. A min-max mathematical formulation is developed that minimizes the objective function value of the worst solution. A distance measure is defined based on the edges shared between pairs of alternative solutions. An iterative heuristic algorithm to generate k dissimilar alternative solutions is also presented. The solution approach is tested using large and medium size benchmark instances for the capacitated vehicle routing problem.

Suggested Citation

  • TALARICO, Luca & SÖRENSEN, Kenneth & SPRINGAEL, Johan, 2013. "The k-dissimilar vehicle routing problem," Working Papers 2013029, University of Antwerp, Faculty of Applied Economics.
  • Handle: RePEc:ant:wpaper:2013029
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    File URL: https://repository.uantwerpen.be/docman/irua/fb78be/bfc1e562.pdf
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    References listed on IDEAS

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    1. Azevedo, JoseAugusto & Santos Costa, Maria Emilia O. & Silvestre Madeira, Joaquim Joao E. R. & Vieira Martins, Ernesto Q., 1993. "An algorithm for the ranking of shortest paths," European Journal of Operational Research, Elsevier, vol. 69(1), pages 97-106, August.
    2. Dell'Olmo, Paolo & Gentili, Monica & Scozzari, Andrea, 2005. "On finding dissimilar Pareto-optimal paths," European Journal of Operational Research, Elsevier, vol. 162(1), pages 70-82, April.
    3. Jin Y. Yen, 1971. "Finding the K Shortest Loopless Paths in a Network," Management Science, INFORMS, vol. 17(11), pages 712-716, July.
    4. Helsgaun, Keld, 2000. "An effective implementation of the Lin-Kernighan traveling salesman heuristic," European Journal of Operational Research, Elsevier, vol. 126(1), pages 106-130, October.
    5. Akgun, Vedat & Erkut, Erhan & Batta, Rajan, 2000. "On finding dissimilar paths," European Journal of Operational Research, Elsevier, vol. 121(2), pages 232-246, March.
    6. van Leeuwen, P. H. & Volgenant, A., 1983. "Solving symmetric vehicle routing problems asymmetrically," European Journal of Operational Research, Elsevier, vol. 12(4), pages 388-393, April.
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    Cited by:

    1. TALARICO, Luca & SÖRENSEN, Kenneth & SPRINGAEL, Johan, 2014. "A bi-objective model to increase security and reduce travel costs in the cash-in-transit sector," Working Papers 2014026, University of Antwerp, Faculty of Applied Economics.

    More about this item

    Keywords

    Vehicle Routing Problem (VRP); Metaheuristic; Security; Similarity;

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