Journal article

A correspondence between product-form batch-movement queueing networks and single-movement networks

JL Coleman, W Henderson, CEM Pearce, PG Taylor

Journal of Applied Probability | Published : 1997

Abstract

A number of recent papers have exhibited classes of queueing networks, with batches of customers served and routed through the network, which have generalised product-form equilibrium distributions. In this paper we look at these from a new viewpoint. In particular we show that, under standard assumptions, for a network to possess an equilibrium distribution that factorises into a product form over the nodes of the network for all possible transition rates, it is necessary and sufficient that it be equivalent to a suitably-defined single-movement network. We consider also the form of the state space for such networks.

University of Melbourne Researchers

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