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Equilibrium queue size distributions for semi-reversible queues

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  • Fakinos, D.

Abstract

Introducing the concept of semi-reversibility for stable service systems in which customers of different types arrive singly and are served individually, general expressions in product-form are given for the equilibrium queue size distribution when a semi-reversible system is considered in continuous time and when it is considered exclusively at arrival or departure epochs. These expressions form the natural extension of known results for quasi-reversible queues.

Suggested Citation

  • Fakinos, D., 1990. "Equilibrium queue size distributions for semi-reversible queues," Stochastic Processes and their Applications, Elsevier, vol. 36(2), pages 331-337, December.
  • Handle: RePEc:eee:spapps:v:36:y:1990:i:2:p:331-337
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    Cited by:

    1. Moshe Haviv & Yoav Kerner, 2011. "The age of the arrival process in the G/M/1 and M/G/1 queues," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 73(1), pages 139-152, February.

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