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Stochastic Variations in Queuing Processes

Author

Listed:
  • M. Eisen

    (IBM Corporation, Yorktown Heights, New York)

  • M. Tainiter

    (IBM Corporation, Yorktown Heights, New York)

Abstract

In this paper we consider a queuing process in which there are two mean arrival and service rates. Not only does the system randomly change from one mode of service and arrival to the other, but units arrive at random and require varying amounts of service. Analytic expressions are obtained for the generating functions, the mean queue length, and the mean waiting time. Several practical illustrations are given.

Suggested Citation

  • M. Eisen & M. Tainiter, 1963. "Stochastic Variations in Queuing Processes," Operations Research, INFORMS, vol. 11(6), pages 922-927, December.
    • Handle: RePEc:inm:oropre:v:11:y:1963:i:6:p:922-927
    DOI: 10.1287/opre.11.6.922
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    Cited by:

    1. Jung Baek & Ho Lee & Se Lee & Soohan Ahn, 2008. "A factorization property for BMAP/G/1 vacation queues under variable service speed," Annals of Operations Research, Springer, vol. 160(1), pages 19-29, April.
    2. Kuban Altinel, I. & Ozekici, Suleyman, 1998. "Optimum component test plans for systems with dependent components," European Journal of Operational Research, Elsevier, vol. 111(1), pages 175-186, November.

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