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Mitigating End Effects in the Dynamic Vehicle Allocation Model

Author

Listed:
  • Richard E. Hughes

    (Department of Industrial and Operations Engineering, University of Michigan, Ann Arbor, Michigan 48109)

  • Warren B. Powell

    (Department of Civil Engineering and Operations Research, School of Engineering/Applied Science, Princeton University, Princeton, New Jersey 08544)

Abstract

A class of network models developed for optimizing the use of a fleet of vehicles can be viewed as time-staged optimization models. Such models which have linear objective functions suffer particularly from end effects, the distortions introduced by employing a finite planning horizon. This paper brings together the end effects literature and the vehicle allocation literature to find a finite linear programming problem that gives an approximation to the first stage optimal solution of the infinite model. In addition, we develop another method of approximation and show that both methods can be formulated as generalized networks. Numerical results are presented for each method for comparison.

Suggested Citation

  • Richard E. Hughes & Warren B. Powell, 1988. "Mitigating End Effects in the Dynamic Vehicle Allocation Model," Management Science, INFORMS, vol. 34(7), pages 859-879, July.
  • Handle: RePEc:inm:ormnsc:v:34:y:1988:i:7:p:859-879
    DOI: 10.1287/mnsc.34.7.859
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    Cited by:

    1. Martin Joborn & Teodor Gabriel Crainic & Michel Gendreau & Kaj Holmberg & Jan T. Lundgren, 2004. "Economies of Scale in Empty Freight Car Distribution in Scheduled Railways," Transportation Science, INFORMS, vol. 38(2), pages 121-134, May.
    2. Bojovic, Nebojsa J., 2002. "A general system theory approach to rail freight car fleet sizing," European Journal of Operational Research, Elsevier, vol. 136(1), pages 136-172, January.

    More about this item

    Keywords

    generalized networks; vehicle planning;

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