Article ID Journal Published Year Pages File Type
715517 IFAC Proceedings Volumes 2014 5 Pages PDF
Abstract

Liveness is a significant behavioral property of a Petri net. Siphons, as structural objects, are closely related to the liveness of a Petri net. For generalized systems of simple sequential processes with resources (GS3PR), a mixed integer programming (MIP) model is formulated, which can detect the existence of minimal non-max*-marked siphons that cause deadlocks or livelocks. We conclude that a GS3PR is live if there is no feasible solution to the formulated MIP model. An example is used to illustrate the proposed method.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics