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A Mean-Value Analysis of Slotted-Ring Network Models (1996)
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BibTeX
@MISC{Coyle96amean-value,
author = {Andrew Coyle and Boudewijn R. Haverkort and William Henderson and Charles E. M. Pearce},
title = {A Mean-Value Analysis of Slotted-Ring Network Models},
year = {1996}
}
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Abstract
In this paper we analyse stochastic Petri net (SPN) models of slotted-ring networks. We show that a simple SPN model of a slotted-ring network, which exhibits a product-form solution, yields similar results to a more detailed SPN model that has to be analyzed by numerical means. Furthermore, we demonstrate a mean-value analysis (MVA) approach to calculate efficiently the results for the simple model. This MVA approach allows for the movement of groups of tokens (customers) rather than just individual customers, as traditional MVA schemes for queueing network models do. Also the MVA allows for nondisjoint place invariants whereas previous MVA schemes addressed disjoint place invariants only. From the MVAs, it can be concluded that slotted-rings have very attractive performance characteristics, even under overload conditions (there is no "thrashing"). Also we found that the choice of the slot size is a key factor in calibrating slotted-ring systems for optimal performance. Having a fast ...
Keyphrases
mean-value analysis slotted-ring network model slotted-ring network product-form solution attractive performance characteristic mva approach network model previous mva scheme detailed spn model disjoint place invariant simple model traditional mva scheme slot size yield similar result optimal performance individual customer nondisjoint place invariant key factor simple spn model stochastic petri net overload condition slotted-ring system numerical mean
