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The Vehicle Routing Problem with Demand Range

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  • Ann Campbell

Abstract

We propose and formulate the vehicle routing problem with demand range (VRPDR), a new variation on the traditional vehicle routing problem. In the VRPDR, the delivery quantity for each customer i is allowed to vary from its original size d i by an amount α d i where 0 ≤ α > 1. In adding this limited flexibility to the problem, there is potential to generate significant savings in the total distance traveled. We address issues such as bounding the impact of a given α on total distance and provide empirical results to illustrate “typical” behavior. Copyright Springer Science + Business Media, Inc. 2006

Suggested Citation

  • Ann Campbell, 2006. "The Vehicle Routing Problem with Demand Range," Annals of Operations Research, Springer, vol. 144(1), pages 99-110, April.
    • Handle: RePEc:spr:annopr:v:144:y:2006:i:1:p:99-110:10.1007/s10479-006-0057-0
    DOI: 10.1007/s10479-006-0057-0
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    References listed on IDEAS

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    1. Ann Melissa Campbell & Martin W. P. Savelsbergh, 2004. "A Decomposition Approach for the Inventory-Routing Problem," Transportation Science, INFORMS, vol. 38(4), pages 488-502, November.
    2. Marielle Christiansen & Bjorn Nygreen, 1998. "A method for solving ship routing problemswith inventory constraints," Annals of Operations Research, Springer, vol. 81(0), pages 357-378, June.
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    4. Marielle Christiansen & Bjørn Nygreen, 1998. "Modelling path flows for a combined ship routingand inventory management problem," Annals of Operations Research, Springer, vol. 82(0), pages 391-413, August.
    5. 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.
    6. G. A. Croes, 1958. "A Method for Solving Traveling-Salesman Problems," Operations Research, INFORMS, vol. 6(6), pages 791-812, December.
    7. Ann Melissa Campbell & Martin Savelsbergh, 2004. "Efficient Insertion Heuristics for Vehicle Routing and Scheduling Problems," Transportation Science, INFORMS, vol. 38(3), pages 369-378, August.
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    Cited by:

    1. G Brønmo & M Christiansen & B Nygreen, 2007. "Ship routing and scheduling with flexible cargo sizes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(9), pages 1167-1177, September.

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