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Analysis of an open non-Markovian GI — (GI | ∞) K queueing network with high-rate renewal arrival process

Analysis of an open non-Markovian GI — (GI | ∞) K queueing network with high-rate renewal arrival... We analyze an open non-Markovian queueing network with high-rate renewal arrival process, Markovian routing, arbitrary service policy, and unlimited number of servers at nodes. We obtain mean values for the number of busy servers at nodes of the queueing network in question. We show that, under an infinitely increasing arrival rate, the multivariate distribution of the number of busy servers at network nodes can be approximated by a multivariate normal distribution; we find parameters of this distribution. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Analysis of an open non-Markovian GI — (GI | ∞) K queueing network with high-rate renewal arrival process

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References (14)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Pleiades Publishing, Ltd.
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
DOI
10.1134/S0032946013020063
Publisher site
See Article on Publisher Site

Abstract

We analyze an open non-Markovian queueing network with high-rate renewal arrival process, Markovian routing, arbitrary service policy, and unlimited number of servers at nodes. We obtain mean values for the number of busy servers at nodes of the queueing network in question. We show that, under an infinitely increasing arrival rate, the multivariate distribution of the number of busy servers at network nodes can be approximated by a multivariate normal distribution; we find parameters of this distribution.

Journal

Problems of Information Transmission – Springer Journals

Published: Jul 13, 2013

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