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On a periodic vehicle routing problem

Author

Listed:
  • S Coene

    (Katholieke Universiteit Leuven)

  • A Arnout

    (Katholieke Universiteit Leuven)

  • F C R Spieksma

    (Katholieke Universiteit Leuven)

Abstract

This paper deals with a study on a variant of the Periodic Vehicle Routing Problem (PVRP). As in the traditional Vehicle Routing Problem, customer locations each with a certain daily demand are given, as well as a set of capacitated vehicles. In addition, the PVRP has a horizon, say T days, and there is a frequency for each customer stating how often within this T-day period this customer must be visited. A solution to the PVRP consists of T sets of routes that jointly satisfy the demand constraints and the frequency constraints. The objective is to minimize the sum of the costs of all routes over the planning horizon. We develop different algorithms solving the instances of the case studied. Using these algorithms we are able to realize considerable cost reductions compared to the current situation.

Suggested Citation

  • 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.
  • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:12:d:10.1057_jors.2009.154
    DOI: 10.1057/jors.2009.154
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    References listed on IDEAS

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    1. Claassen, G.D.H. & Hendriks, Th.H.B., 2007. "An application of Special Ordered Sets to a periodic milk collection problem," European Journal of Operational Research, Elsevier, vol. 180(2), pages 754-769, July.
    2. D Ronen & C A Goodhart, 2008. "Tactical store delivery planning," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(8), pages 1047-1054, August.
    3. Tan, C.C.R. & Beasley, J.E., 1984. "A heuristic algorithm for the period vehicle routing problem," Omega, Elsevier, vol. 12(5), pages 497-504.
    4. Angelelli, Enrico & Grazia Speranza, Maria, 2002. "The periodic vehicle routing problem with intermediate facilities," European Journal of Operational Research, Elsevier, vol. 137(2), pages 233-247, March.
    5. Alegre, Jesus & Laguna, Manuel & Pacheco, Joaquin, 2007. "Optimizing the periodic pick-up of raw materials for a manufacturer of auto parts," European Journal of Operational Research, Elsevier, vol. 179(3), pages 736-746, June.
    6. Peter Francis & Karen Smilowitz & Michal Tzur, 2006. "The Period Vehicle Routing Problem with Service Choice," Transportation Science, INFORMS, vol. 40(4), pages 439-454, November.
    7. 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.
    8. Fred Blakeley & Burçin Argüello & Buyang Cao & Wolfgang Hall & Joseph Knolmajer, 2003. "Optimizing Periodic Maintenance Operations for Schindler Elevator Corporation," Interfaces, INFORMS, vol. 33(1), pages 67-79, February.
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