Response time for finite heterogeneous nonreliable queueing systems

Response time for finite heterogeneous nonreliable queueing systems

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Article ID: iaor19962277
Country: United Kingdom
Volume: 31
Issue: 11
Start Page Number: 55
End Page Number: 60
Publication Date: Jun 1996
Journal: Computers & Mathematics with Applications
Authors:
Keywords: markov processes, control
Abstract:

This paper deals with nonhomogeneous queueing models to decribe the performance of finite multiterminal systems subject to random breakdowns. The most important contribution of this paper is to give a closed formula for response time calculation. The paper uses the model described earlier by Almási and Sztrik in [1]. The authors used there a closed formula-without proof-to calculate the response time of the terminals. Here the paper gives a short proof of it. All random variables involved in this work are independent and exponentially distributed. Although the stochastic process describing the system’s behaviour is a Markov chain, the number of states becomes very large, and the response time calculation is not trivial in the heterogeneous model.

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