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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Introduction to Discrete Event Systems
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Journal ArticleDOI
The application of Petri-nets to workflow management
TL;DR: This paper introduces workflow management as an application domain for Petri nets, presents state-of-the-art results with respect to the verification of workflows, and highlights some Petri-net-based workflow tools.
Journal ArticleDOI
Workflow mining: discovering process models from event logs
TL;DR: A new algorithm is presented to extract a process model from a so-called "workflow log" containing information about the workflow process as it is actually being executed and represent it in terms of a Petri net.
Journal ArticleDOI
Machine Recognition of Human Activities: A Survey
TL;DR: A comprehensive survey of efforts in the past couple of decades to address the problems of representation, recognition, and learning of human activities from video and related applications is presented.
References
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Proceedings ArticleDOI
Coloured Petri net models for automated manufacturing systems
N. Viswanadham,Yadati Narahari +1 more
TL;DR: The methodology for a Flexible Manufacturing Cell (FMC) with three machines and three robots is illustrated and the analysis of the FMC for deadlocks is considered using the invariant analysis of CPNs.
Book ChapterDOI
Structural properties of petri nets
TL;DR: Invariance and consistency are necessary conditions for evitating pathological situations such as structural unboundedness and structural unliveness in a PN.
Book ChapterDOI
Petri nets with individual tokens
TL;DR: In this article, the authors introduce the concept of Petri nets (place/transition-nets), where actual system states are represented as distributions of "black" tokens onto the places of the nets.
Journal ArticleDOI
Distributed Software System Design Representation Using Modified Petri Nets
TL;DR: The model is based on a modified form of Petri net, and enables one to represent both the structure and the behavior of a distributed software system at a desired level of design.
Reduction and expansion of live and safe marked graphs.
Tadao Murata,Koh J Y +1 more
TL;DR: It is proved that certain parallel, series, and circuit reductions and expansions on a marked graph do not change the number of its equivalence classes of live and safe markings.