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The busy periods of some queueing systems

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  • Stadje, W.

Abstract

For the queue with deterministic, not necessarily equidistant arrival times and exponential service times and for the dual queue with Poisson arrivals and deterministic but unequal service times we derive some explicit formulas for the distribution of the number of customers served during a busy period.

Suggested Citation

  • Stadje, W., 1995. "The busy periods of some queueing systems," Stochastic Processes and their Applications, Elsevier, vol. 55(1), pages 159-167, January.
    • Handle: RePEc:eee:spapps:v:55:y:1995:i:1:p:159-167
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    References listed on IDEAS

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    1. Lajos Takács, 1961. "The Probability Law of the Busy Period for Two Types of Queuing Processes," Operations Research, INFORMS, vol. 9(3), pages 402-407, June.
    2. Wolfgang Stadje, 1993. "A Direct Approach to the GI/G/1 Queueing System with Finite Capacity," Operations Research, INFORMS, vol. 41(3), pages 600-607, June.
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    Cited by:

    1. Böhm, W., 2000. "Non-coincidence probabilities and the time-dependent behavior of tandem queues with deterministic input," Stochastic Processes and their Applications, Elsevier, vol. 89(2), pages 305-313, October.

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