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

Tuǧrul Dayar () and Akın Meriç

Annals of Operations Research, 2008, vol. 164, issue 1, 193-210

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

Keywords: Closed queueing network; Phase-type service distribution; Kronecker representation; Network decomposition; Fixed-point iteration; Multilevel method (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10479-008-0429-8

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