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Modeling a Class of Flexible Manufacturing Systems with Reversible Routing

Author

Listed:
  • David D. Yao

    (Columbia University, New York, New York)

  • J. A. Buzacott

    (University of Waterloo, Ontario, Canada)

Abstract

We model a flexible manufacturing system (FMS) as a closed queueing network with a set of stations, each with a local buffer of limited capacity. Based on the theory of reversibility as well as some known approaches in the studies of queueing networks with finite buffers, we derive product-form solutions to a class of such FMS networks that have reversible parts routing (a system with a centralized material handling station being one example). This class also includes a certain type of dynamic routing scheme. For systems with zero-buffer stations, we show that the solutions have product form even for nonexponential processing times.

Suggested Citation

  • David D. Yao & J. A. Buzacott, 1987. "Modeling a Class of Flexible Manufacturing Systems with Reversible Routing," Operations Research, INFORMS, vol. 35(1), pages 87-93, February.
    • Handle: RePEc:inm:oropre:v:35:y:1987:i:1:p:87-93
    DOI: 10.1287/opre.35.1.87
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    Cited by:

    1. Subba Rao, S. & Gunasekaran, A. & Goyal, S. K. & Martikainen, T., 1998. "Waiting line model applications in manufacturing," International Journal of Production Economics, Elsevier, vol. 54(1), pages 1-28, January.
    2. Koltai, Tamas & Lozano, Sebastian, 1998. "Sensitivity calculation of the throughput of an FMS with respect to the routing mix using perturbation analysis," European Journal of Operational Research, Elsevier, vol. 105(3), pages 483-493, March.
    3. van Dijk, N.M. & van der Sluis, E. & Bulder, L.N. & Cui, Y., 2024. "Flexible serial capacity allocation with intensive care application," International Journal of Production Economics, Elsevier, vol. 272(C).

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