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Heuristics for the lexicographic max-ordering vehicle routing problem

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  • Sleman Saliba

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Abstract

In this paper, we propose fast heuristics for the vehicle routing problem (VRP) with lexicographic max-order objective. A fixed number of vehicles, which are based at a depot, are to serve customers with known demands. The lexicographic max-order objective is introduced by asking to minimize lexicographically the sorted route lengths. Based on a model for this problem, several approaches are studied and new heuristic solution procedures are discussed resulting in the development of a sequential insertion heuristic and a modified savings algorithm in several variants. Comparisons between the algorithms are performed on instances of the VRP library VRPLIB. Finally, based on the results from the computational experiments, conclusions about the applicability and efficiency of the presented algorithms are drawn. Copyright Physica-Verlag 2006

Suggested Citation

  • Sleman Saliba, 2006. "Heuristics for the lexicographic max-ordering vehicle routing problem," 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. 14(3), pages 313-336, September.
  • Handle: RePEc:spr:cejnor:v:14:y:2006:i:3:p:313-336
    DOI: 10.1007/s10100-006-0007-6
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    References listed on IDEAS

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    1. Michel Gendreau & Alain Hertz & Gilbert Laporte, 1994. "A Tabu Search Heuristic for the Vehicle Routing Problem," Management Science, INFORMS, vol. 40(10), pages 1276-1290, October.
    2. W. W. Garvin & H. W. Crandall & J. B. John & R. A. Spellman, 1957. "Applications of Linear Programming in the Oil Industry," Management Science, INFORMS, vol. 3(4), pages 407-430, July.
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    Cited by:

    1. Caramia, M. & Guerriero, F., 2009. "A heuristic approach to long-haul freight transportation with multiple objective functions," Omega, Elsevier, vol. 37(3), pages 600-614, June.
    2. Jan Pelikán & Jan Fábry, 2012. "Heuristics for routes generation in pickup and delivery problem," 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. 20(3), pages 463-472, September.

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