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Networks of non-homogeneous M/G/∞ systems

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

J. Keilson  and
L. D. Servi
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Abstract

For a network of G/∞ service facilities, the transient joint distribution of the facility populations is shown by new simple methods to have a simple Poisson product form with simple explicit formulas for the means. In the network it is assumed that: (a) each facility has an infinite number of servers; (b) the service time distributions are general; (c) external traffic is non-homogeneous in time; (d) arrivals have random or deterministic routes through the network possibly returning to the same facility more than once; (e) arrivals use the facilities on their route sequentially or in parallel (as in the case of a circuitswitched telecommunication network). The results have relevance to communication networks and manufacturing systems.

Keywords

POISSON PRODUCT FORMBCMP NETWORKS

MSC classification

Primary: 60K25: Queueing theory
Type
Part 3 Queueing Theory
Information
Journal of Applied Probability , Volume 31 , Issue A , 1994 , pp. 157 - 168
Copyright
Copyright © Applied Probability Trust 1994 

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