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A Tabu Search Algorithm for the Split Delivery Vehicle Routing Problem

Author

Listed:
  • C. Archetti

    (Dipartimento Metodi Quantitativi, Università degli Studi di Brescia, Contrada Santa Chiara 50, 25122 Brescia, Italia)

  • M. G. Speranza

    (Dipartimento Metodi Quantitativi, Università degli Studi di Brescia, Contrada Santa Chiara 50, 25122 Brescia, Italia)

  • A. Hertz

    (Département de Mathématiques et de Génie Industriel, École Polytechnique, CP 6079, succ. Centre-ville, Montréal, Canada H3C 3A7)

Abstract

We describe a tabu search algorithm for the vehicle routing problem with split deliveries. At each iteration, a neighbor solution is obtained by removing a customer from a set of routes where it is currently visited and inserting it either into a new route or into an existing route that has enough residual capacity. The algorithm also considers the possibility of inserting a customer into a route without removing it from another route. The insertion of a customer into a route is done by means of the cheapest insertion method. Computational experiments are reported for a set of benchmark problems, and the results are compared with those obtained by the algorithm proposed by Dror and Trudeau.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ortrsc:v:40:y:2006:i:1:p:64-73
    DOI: 10.1287/trsc.1040.0103
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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. 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. 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.
    6. Michel Gendreau & Alain Hertz & Gilbert Laporte, 1992. "New Insertion and Postoptimization Procedures for the Traveling Salesman Problem," Operations Research, INFORMS, vol. 40(6), pages 1086-1094, December.
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