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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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Journal ArticleDOI

Behaviour-aware discovery of Web service compositions

TL;DR: This work presents a matchmaking system that exploits both semantics and behavioural information to discover service compositions capable of satisfying a client request.
Journal ArticleDOI

Characterising resource management performance in Kubernetes

TL;DR: This paper analyzes the performance of Kubernetes achieved through a Petri net-based performance model, and can be exploited for supporting capacity planning and designing Kubernets-based elastic applications.
Journal ArticleDOI

Modelling and analysis of workflow for lean supply chains

TL;DR: The purpose of this research is to establish a formal method of modelling and analysis of workflow systems for LSC using Petri nets, which initiates a new perspective of research on cross-organisational workflow management and promotes operation management of LSC in real world settings.
Proceedings ArticleDOI

A role-based access control policy verification framework for real-time systems

TL;DR: A Petri-net based framework for verifying the correctness of event-driven RBAC policies and its application in real-time application systems such as workflow management systems and active databases is presented.
Book ChapterDOI

A Recursive Paradigm for Aligning Observed Behavior of Large Structured Process Models

TL;DR: The computation of alignments is casted as the resolution of Integer Linear Programming models, where the user can decide the granularity of the alignment steps, exponentially reducing the complexity of the ILP models to be solved.
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.