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Stability of Flexible Manufacturing Systems

Author

Listed:
  • Costas Courcoubetis

    (University of Crete, and Institute of Computer Science, Forth, Heraklion, Greece)

  • Richard Weber

    (University of Cambridge, Cambridge, United Kingdom)

Abstract

We consider a flexible manufacturing facility that can be operated in any of m different modes. While running in mode k certain intermediate products are consumed and other intermediate or finished products are created. There may be variability in the manufacturing process, as well as random arrivals of raw materials and orders for finished products. We establish conditions that ensure demands can be satisfied while maintaining bounded levels of inventories. These results that may be viewed as generalizing to the flexible manufacturing context the notion of stability for a queueing system.

Suggested Citation

  • Costas Courcoubetis & Richard Weber, 1994. "Stability of Flexible Manufacturing Systems," Operations Research, INFORMS, vol. 42(5), pages 947-957, October.
    • Handle: RePEc:inm:oropre:v:42:y:1994:i:5:p:947-957
    DOI: 10.1287/opre.42.5.947
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    Citations

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    Cited by:

    1. Kimberly M. Wasserman & Tava Lennon Olsen, 2001. "On Mutually Interfering Parallel Servers Subject to External Disturbances," Operations Research, INFORMS, vol. 49(5), pages 700-709, October.
    2. Yichi Shen & Kan Wu, 2018. "Stability of a GI/G/1 Queue: A Survey," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(03), pages 1-15, June.
    3. Leonard J. Mirman & Kevin Reffett & John Stachurski, 2005. "Some stability results for Markovian economic semigroups," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(1), pages 57-72, March.

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