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An Optimization-Based Heuristic for the Split Delivery Vehicle Routing Problem

Author

Listed:
  • Claudia Archetti

    (Department of Quantitative Methods, University of Brescia, 25122 Brescia, Italy)

  • M. Grazia Speranza

    (Department of Quantitative Methods, University of Brescia, 25122 Brescia, Italy)

  • Martin W. P. Savelsbergh

    (School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332)

Abstract

The split delivery vehicle routing problem is concerned with serving the demand of a set of customers with a fleet of capacitated vehicles at minimum cost. Contrary to what is assumed in the classical vehicle routing problem, a customer can be served by more than one vehicle, if convenient. We present a solution approach that integrates heuristic search with optimization by using an integer program to explore promising parts of the search space identified by a tabu search heuristic. Computational results show that the method improves the solution of the tabu search in all but one instance of a large test set.

Suggested Citation

  • Claudia Archetti & M. Grazia Speranza & Martin W. P. Savelsbergh, 2008. "An Optimization-Based Heuristic for the Split Delivery Vehicle Routing Problem," Transportation Science, INFORMS, vol. 42(1), pages 22-31, February.
    • Handle: RePEc:inm:ortrsc:v:42:y:2008:i:1:p:22-31
    DOI: 10.1287/trsc.1070.0204
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    References listed on IDEAS

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    1. C. Archetti & M. G. Speranza & A. Hertz, 2006. "A Tabu Search Algorithm for the Split Delivery Vehicle Routing Problem," Transportation Science, INFORMS, vol. 40(1), pages 64-73, February.
    2. Moshe Dror & Pierre Trudeau, 1989. "Savings by Split Delivery Routing," Transportation Science, INFORMS, vol. 23(2), pages 141-145, May.
    3. J. M. Belenguer & M. C. Martinez & E. Mota, 2000. "A Lower Bound for the Split Delivery Vehicle Routing Problem," Operations Research, INFORMS, vol. 48(5), pages 801-810, October.
    4. Gerard Sierksma & Gert Tijssen, 1998. "Routing helicopters for crew exchanges on off-shore locations," Annals of Operations Research, Springer, vol. 76(0), pages 261-286, January.
    5. Claudia Archetti & Martin W. P. Savelsbergh & M. Grazia Speranza, 2006. "Worst-Case Analysis for Split Delivery Vehicle Routing Problems," Transportation Science, INFORMS, vol. 40(2), pages 226-234, May.
    6. C. Archetti & R. Mansini & M. G. Speranza, 2005. "Complexity and Reducibility of the Skip Delivery Problem," Transportation Science, INFORMS, vol. 39(2), pages 182-187, May.
    Full references (including those not matched with items on IDEAS)

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