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Non-coincidence probabilities and the time-dependent behavior of tandem queues with deterministic input

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  • Böhm, W.

Abstract

In this paper we derive a formula for zero-avoiding transition probabilities of an r-node tandem queue with exponential servers and deterministic input. In particular, we show that these transition probabilities may be interpreted as non-coincidence probabilities of a set of dissimilar Poisson processes restricted by a time-dependent boundary.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:spapps:v:89:y:2000:i:2:p:305-313
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    References listed on IDEAS

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    1. Stadje, W., 1995. "The busy periods of some queueing systems," Stochastic Processes and their Applications, Elsevier, vol. 55(1), pages 159-167, January.
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