Siphon control is a widespread methodology for deadlock prevention (DP) in Petri net (PN) models. Besides achieving liveness or DP, control methods should also be evaluated regarding their permissivity (in terms of the number of allowed states) and constraint redundancy. This work introduces a partitioning of the reachability graph based on strongly connected components that nicely and compactly illustrates the PN's evolution behavior, especially regarding liveness, deadlocks and siphon-related properties. The resulting reduced graph is used as a tool for the analysis of DP methods in bounded PNs, to reveal the use of non-maximally permissive constraints and constraint overlapping.
A reachability graph partitioning technique for the analysis of deadlock prevention methods in bounded Petri nets / I. Fumagalli, L. Piroddi, R. Cordone - In: Proceedings of the 29th American Control Conference (ACC) 2010Piscataway : IEEE, 2010. - ISBN 9781424474264. - pp. 3365-3370 (( Intervento presentato al 29. convegno American Control Conference (ACC) 2010 tenutosi a Baltimora nel 2010.
A reachability graph partitioning technique for the analysis of deadlock prevention methods in bounded Petri nets
R. CordoneUltimo
2010
Abstract
Siphon control is a widespread methodology for deadlock prevention (DP) in Petri net (PN) models. Besides achieving liveness or DP, control methods should also be evaluated regarding their permissivity (in terms of the number of allowed states) and constraint redundancy. This work introduces a partitioning of the reachability graph based on strongly connected components that nicely and compactly illustrates the PN's evolution behavior, especially regarding liveness, deadlocks and siphon-related properties. The resulting reduced graph is used as a tool for the analysis of DP methods in bounded PNs, to reveal the use of non-maximally permissive constraints and constraint overlapping.Pubblicazioni consigliate
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