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Two Queues with Changeover Times

Author

Listed:
  • Martin Eisenberg

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

Abstract

A single server attends to two separate queues. Each queue has Poisson arrivals and a general service time distribution. A changeover time , with a general distribution, is required whenever the server crosses from one queue to the other. This paper investigates two queue disciplines: alternating priority and strict priority. In each case, it obtains the Laplace-Stieltjes transforms of the waiting-time distributions for a stationary process, as well as the first moments of the waiting-time distributions.

Suggested Citation

  • Martin Eisenberg, 1971. "Two Queues with Changeover Times," Operations Research, INFORMS, vol. 19(2), pages 386-401, April.
    • Handle: RePEc:inm:oropre:v:19:y:1971:i:2:p:386-401
    DOI: 10.1287/opre.19.2.386
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    Cited by:

    1. Blanc, J.P.C. & Van Der Mei, R.D., 1993. "The Power-Series Algorithm Applied to Polling Systems with a Dormant Server," Papers 9346, Tilburg - Center for Economic Research.
    2. Lillo, Rosa E., 2005. "Ergodicity and analysis of the process describing the system state in polling systems with two queues," European Journal of Operational Research, Elsevier, vol. 167(1), pages 144-162, November.

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