A reachability graph partitioning technique for the analysis of deadlock prevention methods in bounded Petri nets

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.