A Joint Moments Based Analysis of Networks of MAP/MAP/1 Queues
A. Horváth and G. Horváth and M. Telek
Abstract:
The decomposition based approximate numerical analysis of queueing networks
of MAP/MAP/1 queues is considered in this paper. One of the most crucial
decisions of decomposition based queueing network analysis is the
description of inter-node traffic. Utilising recent results on Markov
arrival processes (MAPs), we apply a given number of joint moments of the
consecutive inter-event times to describe the inter-node traffic. This
traffic description is compact (uses far less parameters than the
alternative methods) and flexible (allows an easy reduction of the
complexity of the model, which increases in each analysis step). Numerical
examples demonstrate the accuracy and the computational complexity of the
proposed approximate analysis method.
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András Horváth, 2008-06-25