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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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Book

On-Chip Communication Architectures: System on Chip Interconnect

TL;DR: This book is a comprehensive reference on concepts, research and trends in on-chip communication architecture design, and will provide readers with a comprehensive survey, not available elsewhere, of all current standards for on- chip communication architectures.
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Efficient Consistency Measurement Based on Behavioral Profiles of Process Models

TL;DR: A concept called behavioral profile is introduced that captures the essential behavioral constraints of a process model and is used for the definition of a formal notion of consistency which is less sensitive to model projections than common criteria of behavioral equivalence and allows for quantifying deviation in a metric way.
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Railway Timetable Stability Analysis Using Max-plus System Theory

TL;DR: A stability theory to analyse timetables on sensitivity and robustness to delays based on a linear system description of a railway timetable in max-plus algebra, which enables a real-time analysis of large-scale periodic railway timetables.
Journal ArticleDOI

Selective Siphon Control for Deadlock Prevention in Petri Nets

TL;DR: In this paper, a novel method is proposed that provides small size controllers, based on a set covering approach that conveniently relates siphons and markings, and is compared with other methods proposed in the literature.
Journal ArticleDOI

Two-Stage Method for Synthesizing Liveness-Enforcing Supervisors for Flexible Manufacturing Systems Using Petri Nets

TL;DR: This paper develops a two-stage approach to synthesizing liveness-enforcing supervisors for flexible manufacturing systems (FMS) that can be modeled by a class of Petri nets that is more efficient and structurally simpler than all the known existing methods.
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.