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On a Fleet Sizing and Allocation Problem

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  • S. C. Parikh

    (Stanford University)

Abstract

This paper deals with a practical application of queueing theory. In particular, an approximate but quick method is developed for solving a fleet sizing and allocation problem. The problem concerns an optimal allocation of the total available transport vehicle units to many fleets in such a way that all fleets provide (as nearly as possible) a uniform level of service. The level of service is measured in terms of the fraction of arriving orders for shipment delayed due to the lack of immediate availability of a transport vehicle unit. The method employs some new results in queueing theory for approximating the delay probability and the service facility size in multi-server systems. An illustrative example is included to demonstrate a way of applying the method.

Suggested Citation

  • S. C. Parikh, 1977. "On a Fleet Sizing and Allocation Problem," Management Science, INFORMS, vol. 23(9), pages 972-977, May.
    • Handle: RePEc:inm:ormnsc:v:23:y:1977:i:9:p:972-977
    DOI: 10.1287/mnsc.23.9.972
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    Cited by:

    1. Klosterhalfen, S.T. & Kallrath, J. & Fischer, G., 2014. "Rail car fleet design: Optimization of structure and size," International Journal of Production Economics, Elsevier, vol. 157(C), pages 112-119.
    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.
    3. Kallrath, J. & Klosterhalfen, S.T. & Walter, M. & Fischer, G. & Blackburn, R., 2017. "Payload-based fleet optimization for rail cars in the chemical industry," European Journal of Operational Research, Elsevier, vol. 259(1), pages 113-129.
    4. George, David K. & Xia, Cathy H., 2011. "Fleet-sizing and service availability for a vehicle rental system via closed queueing networks," European Journal of Operational Research, Elsevier, vol. 211(1), pages 198-207, May.

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