IEEE Transactions on Systems Man and Cybernetics Systems · 2013 · 51 citations · 33 references
Petri NetReachability AnalysisUnbounded Petri NetsInitial MarkingEngineeringReachability ProblemStochastic Petri NetFormal MethodsComputer EngineeringNetwork AnalysisComputational ComplexitySystems Engineeringω-Independent NetsComputer SciencePetri NetsCombinatorial OptimizationFormal Verification
This paper proposes a new modified reachability tree (NMRT) approach for a class of unbounded generalized Petri nets called ω-independent nets. The NMRT of an ω-independent net consists of all and only reachable markings from its initial marking. Moreover, the applications of the NMRT to deadlock analysis for ω-independent nets are developed. The proposed method has a larger application scope than all the existing methods. Several examples are provided to show its superiority over them.
33
Petri nets: Properties, analysis and applications
T. Murata · Proceedings of the IEEE · 1989 · 10.5K citations
Petri Net theory and the modeling of systems
Mathematics and Computers in Simulation · 1982 · 3.6K citations
Richard M. Karp, Raymond E. Miller · Journal of Computer and System Sciences · 1969 · 978 citations