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Kronecker representation and decompositional analysis of closed queueing networks with phase-type service distributions and arbitrary buffer sizes

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  • Tuǧrul Dayar
  • Akın Meriç

Abstract

Two approximative fixed-point iterative methods based on decomposition for closed queueing networks with Coxian service distributions and arbitrary buffer sizes are extended to include phase-type service distributions. The irreducible Markov chain associated with each subnetwork in the respective decompositions is represented hierarchically using Kronecker products. The two methods are implemented in a software tool capable of computing the steady-state probability vector of each subnetwork by a multilevel method at each fixed-point iteration and are compared with other methods for accuracy and efficiency. Numerical results indicate that there is a niche filled by the two approximative methods. Copyright Springer Science+Business Media, LLC 2008

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  • Tuǧrul Dayar & Akın Meriç, 2008. "Kronecker representation and decompositional analysis of closed queueing networks with phase-type service distributions and arbitrary buffer sizes," Annals of Operations Research, Springer, vol. 164(1), pages 193-210, November.
    • Handle: RePEc:spr:annopr:v:164:y:2008:i:1:p:193-210:10.1007/s10479-008-0429-8
    DOI: 10.1007/s10479-008-0429-8
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