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Exponential bounds for excess probabilities in systems with a finite capacity

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  • van Ommeren, J. C. W.

Abstract

In this paper we study GI/G/I queueing systems with finite capacity. Our main objective is to find exponential bounds for the limiting probability that an arriving customer causes an excess of the system capacity. The derivation of these bounds is based on a comparison of the finite and infinite capacity systems.

Suggested Citation

  • van Ommeren, J. C. W., 1987. "Exponential bounds for excess probabilities in systems with a finite capacity," Stochastic Processes and their Applications, Elsevier, vol. 24(1), pages 143-149, February.
    • Handle: RePEc:eee:spapps:v:24:y:1987:i:1:p:143-149
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    Cited by:

    1. Bert Zwart, 2015. "Loss rates in the single-server queue with complete rejection," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 81(3), pages 299-315, June.

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