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Approximate mean value performance analysis of cyclic queueing networks with production blocking

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Abstract

A simple approximation method is developed for performance analysis of exponential cyclic queues with production blocking. With a modified Arrival Instant Theorem to cater for finite queue capacity, a set of equations involving the mean values of performance measures are established and an efficient algorithm is proposed. Numerical experiments show that the approximation method is very efficient in providing results with good accuracy.

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Authors and Affiliations

  1. Department of Management Sciences, University of Waterloo, N2L 3G1, Ontario, Waterloo, Canada

    Li Zhuang

  2. Faculty of Administrative Studies, York University, M3J 1PS, North York, Ontario, Canada

    John A. Buzacott

  3. Department of Management Sciences, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    Xiao -Gao Liu

Authors
  1. Li Zhuang
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  2. John A. Buzacott
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  3. Xiao -Gao Liu
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Zhuang, L., Buzacott, J.A. & Liu, X.G. Approximate mean value performance analysis of cyclic queueing networks with production blocking. Queueing Syst 16, 139–165 (1994). https://doi.org/10.1007/BF01158953

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  • DOI: https://doi.org/10.1007/BF01158953

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