Numerical computation of response time distributions using stochastic reward nets

Numerical computation of response time distributions using stochastic reward nets

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Article ID: iaor19941622
Country: Switzerland
Volume: 48
Issue: 1/4
Start Page Number: 155
End Page Number: 184
Publication Date: Jan 1994
Journal: Annals of Operations Research
Authors: , , ,
Keywords: stochastic reward nets
Abstract:

The authors consider the numerical computation of response time distributions for closed product form queueing networks using the tagged customer approach. They map this problem on to the computation of the time to absorption distribution of a finite-state continuous time Markov chain. The construction and solution of these Markov chains is carried out using a variation of stochastic Petri nets called stochastic reward nets (SRNs) The authors examine the effects of changing the service discipline and the service time distribution at a queueing center on the response time distribution. A multiserver queueing network example is also presented. While the tagged customer approach for computing the response time distribution is not new, this paper presents a new approach for computing the response time distributions using SRNs.

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