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On the reversibility of queueing networks

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  • Melamed, Benjamin

Abstract

This paper relates the reversibility of certain discrete state Markovian queueing networks -- the class of quasi-reversible networks -- to the reversibility of the underlying switching process. Quasi-reversible networks are characterized by a product form equilibrium state distribution. When the state can be represented by customer totals at each node, the reversibility of the state process is equivalent to the reversibility of the switching process. More complicated quasi-reversible networks require additional conditions, to ensure the reversibility of the network state process.

Suggested Citation

  • Melamed, Benjamin, 1982. "On the reversibility of queueing networks," Stochastic Processes and their Applications, Elsevier, vol. 13(2), pages 227-234, August.
    • Handle: RePEc:eee:spapps:v:13:y:1982:i:2:p:227-234
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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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