Product form stationary distributions for queueing networks with blocking and rerouting

Authors:
A. Economou;D. Fakinos
Affiliations:
Department of Mathematics, University of Athens, 157 84 Athens, Greece;Department of Mathematics, University of Athens, 157 84 Athens, Greece
Venue:
Queueing Systems: Theory and Applications
Year:
1998

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Abstract

In this paper we study Markovian queueing networks in which the service and the routing characteristics have a particular form which leads to a product form stationary distribution for the number of customers in the various queues of the network. We show that if certain transitions are prohibited due to blocking conditions, then the form of the stationary distribution is preserved under a certain rerouting protocol. Several examples are presented which illustrate the wide applicability of the model.