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, we indicate how a class of these is amenab...

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Bibliographic Details
Published in:Mathematical and computer modelling 1995, Vol.22 (10), p.27-34
Main Authors: Coyle, A.J., Henderson, W., Pearce, C.E.M., Taylor, P.G.
Format: Article
Language:English
Subjects:
Applied sciences
Batch-movement queueing networks
Exact sciences and technology
Mean-value analysis
Operational research and scientific management
Operational research. Management science
Poduct-form queueing networks
Queuing theory. Traffic theory
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Summary: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, we 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, we do this by working a simple example rather than presenting the development in its generality.
ISSN:0895-7177
1872-9479
DOI:10.1016/0895-7177(95)00177-4