MEAN-VALUE ANALYSIS FOR A CLASS OF PETRI NETS AND BATCH-MOVEMENT QUEUING-NETWORKS WITH PRODUCT-FORM EQUILIBRIUM DISTRIBUTIONS

A number of recent papers have shown that there are classes of queuein g networks, with batches of customers served and routed through the ne twork, which have generalized product-form equilibrium distributions. This extends to some Petri nets. In this paper, we indicate how a clas s of these is amenable to a mean-value analysis similar to that used f or single-movement networks. To bring out the simplicity of the underl ying ideas, we do this by working a simple example rather than present ing the development in its generality.