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Letter to the Editor—The Dependence of Sojourn Times in Tandem M/M/S Queues

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  • P. J. Burke

    (Bell Telephone Laboratories, Inc., Holmdel, New Jersey)

Abstract

It has been shown in previous work that a sufficient condition for the sojourn times of a customer in a sequence of stationary M / M / s queues in series to be mutually independent random variables is that all queues except the first and last have single servers. An example is considered which shows that, in general, the single-server condition is also necessary.

Suggested Citation

  • P. J. Burke, 1969. "Letter to the Editor—The Dependence of Sojourn Times in Tandem M/M/S Queues," Operations Research, INFORMS, vol. 17(4), pages 754-755, August.
    • Handle: RePEc:inm:oropre:v:17:y:1969:i:4:p:754-755
    DOI: 10.1287/opre.17.4.754
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    Cited by:

    1. Hum, Sin-Hoon & Parlar, Mahmut & Zhou, Yun, 2018. "Measurement and optimization of responsiveness in supply chain networks with queueing structures," European Journal of Operational Research, Elsevier, vol. 264(1), pages 106-118.
    2. Cree S. Dawson & Charles J. McCallum & R. Bradford Murphy & Eric Wolman, 2000. "Operations Research at Bell Laboratories Through the 1970s: Part I," Operations Research, INFORMS, vol. 48(2), pages 205-215, April.

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