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On reversibility of tandem queues with blocking

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  • Xiuli Chao
  • Michael Pinedo

Abstract

We study the effect of the order of service stations on the departure process in a tandem system with finite buffers and blocking. A reversibility result for a twostation system with various types of blocking mechanisms has been shown before. We show that a similar result holds for a three‐station tandem system with no buffers between stations and a so‐called communication type of blocking. A general conjecture is stated regarding the reversibility of tandem systems with finite buffers and blocking. © 1992 John Wiley & Sons, Inc.

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  • Xiuli Chao & Michael Pinedo, 1992. "On reversibility of tandem queues with blocking," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(7), pages 957-974, December.
    • Handle: RePEc:wly:navres:v:39:y:1992:i:7:p:957-974
    DOI: 10.1002/1520-6750(199212)39:73.0.CO;2-3
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    References listed on IDEAS

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    1. Benjamin Melamed, 1986. "Note---A Note on the Reversibility and Duality of Some Tandem Blocking Queueing Systems," Management Science, INFORMS, vol. 32(12), pages 1648-1650, December.
    2. Eginhard J. Muth, 1979. "The Reversibility Property of Production Lines," Management Science, INFORMS, vol. 25(2), pages 152-158, February.
    3. Henry D. Friedman, 1965. "Reduction Methods for Tandem Queuing Systems," Operations Research, INFORMS, vol. 13(1), pages 121-131, February.
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    Cited by:

    1. Papadopoulos, H. T. & Heavey, C., 1996. "Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines," European Journal of Operational Research, Elsevier, vol. 92(1), pages 1-27, July.

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