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The splittable pickup and delivery problem with reloads

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  • H.L.M. Kerivin
  • M. Lacroix
  • A.R. Mahjoub
  • A. Quilliot
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    Abstract

    In this paper, we consider a variant of the Pickup and Delivery Problem (PDP), where any demand may be dropped off elsewhere other than its destination, picked up later by the same or another vehicle, and so on until it has reached its destination. We discuss the complexity of this problem and present two mixed-integer linear programming formulations based on a space-time graph. We describe some valid inequalities for the problem along with separation routines. Based on these results, we develop a branch-and-cut algorithm for the problem, and present some computational results. [Received 31 January 2007; Revised 08 August 2007; Accepted 02 October 2007]

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    Bibliographic Info

    Article provided by Inderscience Enterprises Ltd in its journal European J. of Industrial Engineering.

    Volume (Year): 2 (2008)
    Issue (Month): 2 ()
    Pages: 112-133

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    Handle: RePEc:ids:eujine:v:2:y:2008:i:2:p:112-133

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    Web page: http://www.inderscience.com/browse/index.php?journalID=210

    Related research

    Keywords: transportation problems; mixed-integer linear program; multicommodity flow; metric inequalities; branch-and-cut; pickup and delivery problem; PDP; reloads.;

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    Cited by:
    1. Rais, A. & Alvelos, F. & Carvalho, M.S., 2014. "New mixed integer-programming model for the pickup-and-delivery problem with transshipment," European Journal of Operational Research, Elsevier, vol. 235(3), pages 530-539.

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