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Numerical computation of response time distributions using stochastic reward nets

  • Computational Methods
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Abstract

We consider the numerical computation of response time distributions for closed product form queueing networks using thetagged customer approach. We 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). We 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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Authors and Affiliations

  1. Department of Computer Science, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

    Jogesh K. Muppala

  2. Department of Electrical Engineering, Duke University, 27708, Durham, NC, USA

    Kishor S. Trivedi

  3. Department of Computer Science, Duke University, 27708, Durham, NC, USA

    Varsha Mainkar

  4. Department of Operations Research, University of North Carolina, 27599, Chapel Hill, NC, USA

    Vidyadhar G. Kulkarni

Authors
  1. Jogesh K. Muppala
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  2. Kishor S. Trivedi
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  3. Varsha Mainkar
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  4. Vidyadhar G. Kulkarni
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Additional information

This research was sponsored in part by the National Science Foundation under Grant CCR-9108114 and by the Naval Surface Warfare Center under contract N60921-92-C-0161.

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Muppala, J.K., Trivedi, K.S., Mainkar, V. et al. Numerical computation of response time distributions using stochastic reward nets. Ann Oper Res 48, 155–184 (1994). https://doi.org/10.1007/BF02024663

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