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On finite capacity queueing systems with a general vacation policy

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  • Jacqueline Loris-Teghem

Abstract

We consider a Poisson arrival queueing system with finite capacity and a general vacation policy as described in Loris-Teghem [ Queueing Systems 3 (1988), 41-52]. From our previous results regarding the stationary queue length distributions immediately after a departure and at an arbitrary epoch, we derive a relation between both distributions which extends a result given in Frey and Takahashi [ Operations Research Letters 21 (1997), 95-100] for the particular case of an exhaustive service multiple vacation policy.

Suggested Citation

  • Jacqueline Loris-Teghem, 2000. "On finite capacity queueing systems with a general vacation policy," International Journal of Stochastic Analysis, Hindawi, vol. 13, pages 1-4, January.
    • Handle: RePEc:hin:jnijsa:238569
    DOI: 10.1155/S1048953300000344
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