Mean-value analysis for a class of Petri nets and batch-movement queueing networks with product-form equilibrium distributions

A number of recent papers have shown that there are classes of queueing networks, with batches of customers served and routed through the network, which have generalized product-form equilibrium distributions. This extends to some Petri nets. In this paper, the authors indicate how a class of these is amenable to a mean-value analysis similar to that used for single-movement networks. To bring out the simplicity of the underlying ideas, they do this by working a simple example rather than presenting the development in its generality.