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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. >

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Citations
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Proceedings ArticleDOI

Transforming process models: executable rewrite rules versus a formalized java program

TL;DR: A transformation from petri-nets to statecharts (PN2SC) is implemented using both GrGen and Java, illustrating that rule-based approaches require less specification effort due to their more declarative specification style and automatic performance optimizations.
Journal ArticleDOI

Robot task plan representation by Petri nets: modelling, identification, analysis and execution

TL;DR: Results of a case study with simulated soccer robots show the ability of the framework to provide a systematic modelling tool, and of determining relevant properties of the task plan applied to a particular environment, through well-known analysis methods for stochastic Petri nets.
Journal ArticleDOI

A Petri net model for temporal knowledge representation and reasoning

TL;DR: This paper presents a general model based on timed Petri net, capable of handling both qualitative and quantitative temporal information, and graphical representation of a timedPetri net gives a straightforward view of relations between temporal objects.
Journal ArticleDOI

Fully Expanded Tree for Property Analysis of One-Place-Unbounded Petri Nets

TL;DR: The proposed fully expanded tree (FET) approach for one-place-unbounded Petri nets has a larger application scope than all the existing methods for them and is superior over the state-of-the-art methods.
Journal ArticleDOI

Dynamic Petri Fuzzy Cerebellar Model Articulation Controller Design for a Magnetic Levitation System and a Two-Axis Linear Piezoelectric Ceramic Motor Drive System

TL;DR: A dynamic Petri fuzzy cerebellar (DPFC) model articulation controller is developed to allow control of the position of the metallic sphere of an MLS and the trajectory tracking of a two-axis LPCM drive system.
References
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Kommunikation mit Automaten

C. A. Petri
TL;DR: The theory of automata is shown not capable of representing the actual physical flow of information in the solution of a recursive problem and a theory of communication is proposed that yields a means of representation that with equal rigor and simplicity accomplishes more than the theory of synchronous automata.
Journal ArticleDOI

A class of generalized stochastic Petri nets for the performance evaluation of multiprocessor systems

TL;DR: It is shown that GSPN are equivalent to continuous-time stochastic processes, and solution methods for the derivation of the steady state probability distribution are presented.
Journal ArticleDOI

Performance Analysis Using Stochastic Petri Nets

TL;DR: An isomorphism between the behavior of Petri nets with exponentially distributed transition rates and Markov processes is presented and this work solves for the steady state average message delay and throughput on a communication link when the alternating bit protocol is used for error recovery.
Journal ArticleDOI

Parallel program schemata

TL;DR: This paper introduces a model called the parallel program schema for the representation and study of programs containing parallel sequencing, related to Ianov's program schema, but extends it, both by modelling memory structure in more detail and by admitting parallel computation.
Journal ArticleDOI

Recoverability of Communication Protocols--Implications of a Theoretical Study

TL;DR: The time-Petri net (TPN) appears to be a suitable model for the study of practical recoverable processes and several practical communication protocols are formally designed and analyzed using this new model.