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Priorities in M/G/1 queue with server vacations

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  • Offer Kella
  • Uri Yechiali

Abstract

The M/G/1 queue with single and multiple server vacations is studied under both the preemptive and non‐preemptive priority regimes. A unified methodology is developed to derive the Laplace‐Stieltjes transform and first two moments of the waiting time Wk of a class‐k customer for each of the four models analyzed. The results are given a probabilistic representation involving mean residual lifetimes.

Suggested Citation

  • Offer Kella & Uri Yechiali, 1988. "Priorities in M/G/1 queue with server vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 23-34, February.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:1:p:23-34
    DOI: 10.1002/1520-6750(198802)35:13.0.CO;2-B
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    References listed on IDEAS

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    1. Michel Scholl & Leonard Kleinrock, 1983. "On the M / G /1 Queue with Rest Periods and Certain Service-Independent Queueing Disciplines," Operations Research, INFORMS, vol. 31(4), pages 705-719, August.
    2. Hanoch Levy & Leonard Kleinrock, 1986. "A Queue with Starter and a Queue with Vacations: Delay Analysis by Decomposition," Operations Research, INFORMS, vol. 34(3), pages 426-436, June.
    3. S. W. Fuhrmann & Robert B. Cooper, 1985. "Stochastic Decompositions in the M / G /1 Queue with Generalized Vacations," Operations Research, INFORMS, vol. 33(5), pages 1117-1129, October.
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    Cited by:

    1. Steve Derkic & James E. Stafford, 2002. "Symbolic Computation of Moments in Priority Queues," INFORMS Journal on Computing, INFORMS, vol. 14(3), pages 261-277, August.
    2. Hanukov, Gabi, 2022. "Improving efficiency of service systems by performing a part of the service without the customer's presence," European Journal of Operational Research, Elsevier, vol. 302(2), pages 606-620.
    3. Jinting Wang & Zhongbin Wang & Yunan Liu, 2020. "Reducing Delay in Retrial Queues by Simultaneously Differentiating Service and Retrial Rates," Operations Research, INFORMS, vol. 68(6), pages 1648-1667, November.

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