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Journal ArticleDOI

Petri nets: Properties, analysis and applications

Tadao Murata
- Vol. 77, Iss: 4, pp 541-580
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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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Journal ArticleDOI

Synchronization and Linearity: An Algebra for Discrete Event Systems

TL;DR: This book proposes a unified mathematical treatment of a class of 'linear' discrete event systems, which contains important subclasses of Petri nets and queuing networks with synchronization constraints, which is shown to parallel the classical linear system theory in several ways.
Journal ArticleDOI

A Formal Analysis and Taxonomy of Task Allocation in Multi-Robot Systems

TL;DR: A domain-independent taxonomy of MRTA problems is given, and it is shown how many such problems can be viewed as instances of other, well-studied, optimization problems.
Journal ArticleDOI

Conformance checking of processes based on monitoring real behavior

TL;DR: An incremental approach to check the conformance of a process model and an event log is proposed and a Conformance Checker has been implemented within the ProM framework and it has been evaluated using artificial and real-life event logs.
Journal ArticleDOI

A Petri net based deadlock prevention policy for flexible manufacturing systems

TL;DR: This paper illustrates a compositional method for modeling the concurrent execution of working processes in flexible manufacturing systems (FMS) through a special class of Petri nets that is built from state machines sharing a set of places modeling the availability of system resources.
Book

Introduction to Embedded Systems - A Cyber-Physical Systems Approach

TL;DR: This book takes a cyber-physical approach to embedded systems, introducing the engineering concepts underlying embedded systems as a technology and as a subject of study.
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.
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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.
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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.