Journal ArticleDOI
Petri nets: Properties, analysis and applications
Tadao Murata
- Vol. 77, Iss: 4, pp 541-580
TLDR
The author proceeds with introductory modeling examples, behavioral and structural properties, three methods of analysis, subclasses of Petri nets and their analysis, and one section is devoted to marked graphs, the concurrent system model most amenable to analysis.Abstract:
Starts with a brief review of the history and the application areas considered in the literature. The author then proceeds with introductory modeling examples, behavioral and structural properties, three methods of analysis, subclasses of Petri nets and their analysis. In particular, one section is devoted to marked graphs, the concurrent system model most amenable to analysis. Introductory discussions on stochastic nets with their application to performance modeling, and on high-level nets with their application to logic programming, are provided. Also included are recent results on reachability criteria. Suggestions are provided for further reading on many subject areas of Petri nets. >read more
Citations
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The application of Petri-nets to workflow management
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References
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Journal ArticleDOI
State equation, controllability, and maximal matchings of petri nets
TL;DR: This paper discusses Petri nets in the context of the state equation for a linear discrete-time system and shows that the controllability and reachability of a Petri net are related to maximal matchings of its bipartite graph.
Journal ArticleDOI
A Methodology for the Design and Implementation of Communication Protocols
TL;DR: This paper presents a coherent method which permits the specification, check out, and implementation of communication protocols, and it is believed that this methodology will facilitate the installation or modification of complex trunk protocols and other communication protocols.
Journal ArticleDOI
The equality problem for vector addition systems is undecidable
TL;DR: The usefulness of Petri nets for treating problems about vector addition systems is demonstrated by giving a simple exposition of Rabin's proof of the undecidability of the inclusion problem for vector addition system reachability sets.
Journal ArticleDOI
Macro E-Nets for Representation of Parallel Systems
Jerre D. Noe,Gary J. Nutt +1 more
TL;DR: Previous work on evaluation nets is extended through the use of macro nets that represent structures made up of the primitives, allowing compression of the net for easier understanding.