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Note---A Note on the Reversibility and Duality of Some Tandem Blocking Queueing Systems

Author

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  • Benjamin Melamed

    (AT&T Bell Laboratories, Holmdel, New Jersey 07733)

Abstract

In a previous paper Yamazaki et al. (Yamazaki, G., T. Kawashima, H. Sakasegawa. 1983. Reversibility of tandem blocking queueing systems. Kogakuin University, Tokyo, Japan.) prove that a certain tandem blocking queueing system and its reversed counterpart have the same capacity (throughput). The purpose of this note is to offer an alternative viewpoint based on a concept of duality. This leads to a more intuitive methodology and provides additional insight into the original and reversed systems.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ormnsc:v:32:y:1986:i:12:p:1648-1650
    DOI: 10.1287/mnsc.32.12.1648
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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.
    2. He, Qi-Ming & Chao, Xiuli, 2014. "A tollbooth tandem queue with heterogeneous servers," European Journal of Operational Research, Elsevier, vol. 236(1), pages 177-189.
    3. 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.

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