The Mathematics of Petri Nets

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Publisher : Prentice Hall
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Mathematics of Petri Nets by : Christophe Reutenauer

Download or read book The Mathematics of Petri Nets written by Christophe Reutenauer and published by Prentice Hall. This book was released on 1990 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the mathematical aspects of petri-nets and vector addition systems. The main topic is the accessibility decidability theorem, while the reachability problem is also discussed. Historical notes, references, proofs, exercises and illustrations are included in every chapter.

Petri Net Algebra

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540673989
Total Pages : 400 pages
Book Rating : 4.6/5 (739 download)

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Book Synopsis Petri Net Algebra by : Eike Best

Download or read book Petri Net Algebra written by Eike Best and published by Springer Science & Business Media. This book was released on 2001-01-26 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: In modern society services and support provided by computer-based systems have become ubiquitous and indeed have started to fund amentally alter the way people conduct their business. Moreover, it has become apparent that among the great variety of computer technologies available to potential users a crucial role will be played by concurrent systems. The reason is that many commonly occurring phenomena and computer applications are highly con current : typical examples include control systems, computer networks, digital hardware, business computing, and multimedia systems. Such systems are characterised by ever increasing complexity, which results when large num bers of concurrently active components interact. This has been recognised and addressed within the computing science community. In particular, sev eral form al models of concurrent systems have been proposed, studied, and applied in practice. This book brings together two of the most widely used formalisms for de scribing and analysing concurrent systems: Petri nets and process algebras. On the one hand , process algebras allow one to specify and reason about the design of complex concurrent computing systems by means of algebraic operators corresponding to common programming constructs. Petri nets, on the other hand, provide a graphical representation of such systems and an additional means of verifying their correctness efficiently, as well as a way of expressing properties related to causality and concurrency in system be haviour.

Unifying Petri Nets

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Author :
Publisher : Springer
ISBN 13 : 3540455418
Total Pages : 495 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Unifying Petri Nets by : Hartmut Ehrig

Download or read book Unifying Petri Nets written by Hartmut Ehrig and published by Springer. This book was released on 2003-06-30 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their introduction nearly 40 years ago, research on Petri nets has diverged in many different directions. Various classes of Petri net, motivated either by theory or applications, with its own specific features and methods of analysis, have been proposed and studies in depth. These successful developments have led to a very heterogeneous landscape of diverse models, and this, in turn, has stimulated research on concepts and approaches that contribute to unifying and structuring the diverse landscape. This state-of-the-art survey presents the most relevant approaches to unifying Petri nets in a systematic and coherent way. The 14 chapters written by leading researchers are organized in topical sections on application-oriented approaches, unifying frameworks, and theoretical approaches.

Petri Nets

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118623053
Total Pages : 456 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Petri Nets by : Michel Diaz

Download or read book Petri Nets written by Michel Diaz and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Petri net is a mathematical representation of a network. This book first introduces the basic models including time and stochastic extensions, in particular place-transition and high level Petri nets. Their modeling and design capabilities are illustrated by a set of representations of interest in operating and communication systems. The volume then addresses the related verification problems and proposes corresponding solutions by introducing the main notions needed to fully understand the behavior and properties behind Petri nets. Particular attention is devoted to how systems can be fully represented and analyzed in terms of their behavioral, time, and stochastic aspects by using the same formal approach and semantic basis. Finally, illustrative examples are presented in the important fields of interoperability in telecommunication services, programming languages, multimedia architectures, manufacturing systems, and communication protocols.

Stochastic Petri Nets

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Publisher : Springer Science & Business Media
ISBN 13 : 0387215522
Total Pages : 523 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Stochastic Petri Nets by : Peter J. Haas

Download or read book Stochastic Petri Nets written by Peter J. Haas and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a leading researcher this book presents an introduction to Stochastic Petri Nets covering the modeling power of the proposed SPN model, the stability conditions and the simulation methods. Its unique and well-written approach provides a timely and important addition to the literature. Appeals to a wide range of researchers in engineering, computer science, mathematics and OR.

Petri Nets for Systems Engineering

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783540412175
Total Pages : 628 pages
Book Rating : 4.4/5 (121 download)

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Book Synopsis Petri Nets for Systems Engineering by : Claude Girault

Download or read book Petri Nets for Systems Engineering written by Claude Girault and published by Springer Science & Business Media. This book was released on 2003 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using formal methods for the specification and verification of hardware and software systems is becoming increasingly important as systems increase in size and complexity. The aim of the book is to illustrate progress in formal methods based on Petri net formalisms. It presents both practical and theoretical foundations for the use of Petri nets in complex system engineering tasks. In doing so it bridges the gap between Petri nets and the systems modeling and implementation process. It contains a collection of examples arising from different fields, such as flexible manufacturing, telecommunication and workflow management systems.

Petri Net Theory and the Modeling of Systems

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Publisher :
ISBN 13 : 9781080591176
Total Pages : 304 pages
Book Rating : 4.5/5 (911 download)

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Book Synopsis Petri Net Theory and the Modeling of Systems by : James L Peterson

Download or read book Petri Net Theory and the Modeling of Systems written by James L Peterson and published by . This book was released on 2019-08-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Petri nets were conceived in 1962 as a model of parallel systems, and have been applied to a wide range of problems. This volume presents both the basic model and demonstrates how it can be applied to a large number of different systems. It also presents basic analysis techniques and shows how Petri nets compare to other models of parallel systems.This second, digital, edition of the original 1981 publication is a faithful reproduction of that work, with dozens of corrections and minor improvements. The original 1981 book was scanned, OCRed, processed and corrected to create an all new printing.

Coloured Petri Nets

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540582762
Total Pages : 194 pages
Book Rating : 4.5/5 (827 download)

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Book Synopsis Coloured Petri Nets by : Kurt Jensen

Download or read book Coloured Petri Nets written by Kurt Jensen and published by Springer Science & Business Media. This book was released on 1997-05-20 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-volume work presents a coherent description of the theoretical and practical aspects of coloured Petri nets (CP-nets). The second volume contains a detailed presentation of the analysis methods for CP-nets. They allow the modeller to investigate dynamic properties of CP-nets. The main ideas behind the analysis methods are described as well as the mathematics on which they are based and also how the methods are supported by computer tools. Some parts of the volume are theoretical while others are application oriented. The purpose of the volume is to teach the reader how to use the formal analysis methods, which does not require a deep understanding of the underlying mathematical theory.

Applications and Theory of Petri Nets 2005

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Publisher : Springer Science & Business Media
ISBN 13 : 3540263012
Total Pages : 485 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Applications and Theory of Petri Nets 2005 by : Gianfranco Ciardo

Download or read book Applications and Theory of Petri Nets 2005 written by Gianfranco Ciardo and published by Springer Science & Business Media. This book was released on 2005-06-09 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 26th International Conference on Applications and Theory of Petri Nets, ICATPN 2005, held in Miami, USA in June 2005. The 20 revised full regular papers and 3 revised tool presentation papers presented together with 4 invited papers were carefully reviewed and selected from 69 submissions. All current issues on research and development in the area of Petri nets are addressed, in particular concurrent systems design and analysis, modular systems development, formal specification, model validation, model checking, workflow management, flow charts, networking, formal methods in software engineering, etc.

Lectures on Petri Nets I: Basic Models

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540653066
Total Pages : 714 pages
Book Rating : 4.6/5 (53 download)

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Book Synopsis Lectures on Petri Nets I: Basic Models by : Wolfgang Reisig

Download or read book Lectures on Petri Nets I: Basic Models written by Wolfgang Reisig and published by Springer Science & Business Media. This book was released on 1998-11-04 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set originates from the Advanced Course on Petri Nets held in Dagstuhl, Germany in September 1996; beyond the lectures given there, additional chapters have been commissioned to give a well-balanced presentation of the state of the art in the area. Together with its companion volume "Lectures on Petri Nets II: Applications" this book is the actual reference for the area and addresses professionals, students, lecturers, and researchers who are - interested in systems design and would like to learn to use Petri nets familiar with subareas of the theory or its applications and wish to view the whole area - interested in learning about recent results presented within a unified framework - planning to apply Petri nets in practical situations - interested in the relationship of Petri nets to other models of concurrent systems.

Transactions on Petri Nets and Other Models of Concurrency XV

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Author :
Publisher : Springer Nature
ISBN 13 : 3662630796
Total Pages : 200 pages
Book Rating : 4.6/5 (626 download)

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Book Synopsis Transactions on Petri Nets and Other Models of Concurrency XV by : Maciej Koutny

Download or read book Transactions on Petri Nets and Other Models of Concurrency XV written by Maciej Koutny and published by Springer Nature. This book was released on 2021-02-24 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 15th volume of ToPNoC contains revised and extended versions of a selection of the best workshop and tutorial papers presented at the 40th International Conference on Application and Theory of Petri Nets and Concurrency, Petri Nets 2019, and the 19th International Conference on Application of Concurrency to System Design, ACSD 2019. The papers cover a diverse range of topics including model checking and system verification, refinement and synthesis; foundational work on specific classes of Petri nets; and innovative applications of Petri nets and other models of concurrency. Application areas covered in this volume are: process mining, verification, formal semantics, communication protocols, business processes, distributed systems, and net synthesis. Thus, this volume gives a good overview of ongoing research on concurrent systems and Petri nets.

Time and Petri Nets

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Publisher : Springer Science & Business Media
ISBN 13 : 3642411150
Total Pages : 219 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Time and Petri Nets by : Louchka Popova-Zeugmann

Download or read book Time and Petri Nets written by Louchka Popova-Zeugmann and published by Springer Science & Business Media. This book was released on 2013-11-05 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: At first glance the concepts of time and of Petri nets are quite contrary: while time determines the occurrences of events in a system, classic Petri nets consider their causal relationships and they represent events as concurrent systems. But if we take a closer look at how time and causality are intertwined we realize that there are many possible ways in which time and Petri nets interact. This book takes a closer look at three time-dependent Petri nets: Time Petri nets, Timed Petri nets, and Petri nets with time windows. The author first explains classic Petri nets and their fundamental properties. Then the pivotal contribution of the book is the introduction of different algorithms that allow us to analyze time-dependent Petri nets. For Time Petri nets, the author presents an algorithm that proves the behavioral equivalence of a net where time is designed once with real and once with natural numbers, so we can reduce the state space and consider the integer states exclusively. For Timed Petri nets, the author introduces two time-dependent state equations, providing a sufficient condition for the non-reachability of states, and she also defines a local transformation for converting these nets into Time Petri nets. Finally, she shows that Petri nets with time-windows have the ability to realize every transition sequence fired in the net omitting time restrictions. These classes of time-dependent Petri nets show that time alone does not change the power of a Petri net, in fact time may or may not be used to force firing. For Time Petri nets and Timed Petri nets we can say that they are Turing-powerful, and thus more powerful than classic Petri nets, because there is a compulsion to fire at some point in time. By contrast, Petri nets with time-windows have no compulsion to fire, their expressiveness power is less than that of Turing-machines. This book derives from advanced lectures, and the text is supported throughout with examples and exercises. It is suitable for graduate courses in computer science, mathematics, engineering, and related disciplines, and as a reference for researchers.

Coloured Petri Nets

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Publisher : Springer Science & Business Media
ISBN 13 : 3662032414
Total Pages : 241 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Coloured Petri Nets by : Kurt Jensen

Download or read book Coloured Petri Nets written by Kurt Jensen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent description of the theoretical and practical aspects of Coloured Petri Nets (CP-nets or CPN). It shows how CP-nets have been de veloped - from being a promising theoretical model to being a full-fledged lan guage for the design, specification, simulation, validation and implementation of large software systems (and other systems in which human beings and/or com puters communicate by means of some more or less formal rules). The book contains the formal definition of CP-nets and the mathematical theory behind their analysis methods. However, it has been the intention to write the book in such a way that it also becomes attractive to readers who are more interested in applications than the underlying mathematics. This means that a large part of the book is written in a style which is closer to an engineering textbook (or a users' manual) than it is to a typical textbook in theoretical computer science. The book consists of three separate volumes. The first volume defines the net model (i. e. , hierarchical CP-nets) and the basic concepts (e. g. , the different behavioural properties such as deadlocks, fair ness and home markings). It gives a detailed presentation of many small exam ples and a brief overview of some industrial applications. It introduces the for mal analysis methods. Finally, it contains a description of a set of CPN tools which support the practical use of CP-nets.

Petri Net Synthesis

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Publisher : Springer
ISBN 13 : 3662479672
Total Pages : 340 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Petri Net Synthesis by : Eric Badouel

Download or read book Petri Net Synthesis written by Eric Badouel and published by Springer. This book was released on 2015-11-02 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive, systematic survey of the synthesis problem, and of region theory which underlies its solution, covering the related theory, algorithms, and applications. The authors focus on safe Petri nets and place/transition nets (P/T-nets), treating synthesis as an automated process which, given behavioural specifications or partial specifications of a system to be realized, decides whether the specifications are feasible, and then produces a Petri net realizing them exactly, or if this is not possible produces a Petri net realizing an optimal approximation of the specifications. In Part I the authors introduce elementary net synthesis. In Part II they explain variations of elementary net synthesis and the unified theory of net synthesis. The first three chapters of Part III address the linear algebraic structure of regions, synthesis of P/T-nets from finite initialized transition systems, and the synthesis of unbounded P/T-nets. Finally, the last chapter in Part III and the chapters in Part IV cover more advanced topics and applications: P/T-net with the step firing rule, extracting concurrency from transition systems, process discovery, supervisory control, and the design of speed-independent circuits. Most chapters conclude with exercises, and the book is a valuable reference for both graduate students of computer science and electrical engineering and researchers and engineers in this domain.

Petri Nets for Systems Engineering

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3662053241
Total Pages : 602 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Petri Nets for Systems Engineering by : Claude Girault

Download or read book Petri Nets for Systems Engineering written by Claude Girault and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using formal methods for the specification and verification of hardware and software systems is becoming increasingly important as systems increase in size and complexity. The aim of the book is to illustrate progress in formal methods based on Petri net formalisms. It presents both practical and theoretical foundations for the use of Petri nets in complex system engineering tasks. In doing so it bridges the gap between Petri nets and the systems modeling and implementation process. It contains a collection of examples arising from different fields, such as flexible manufacturing, telecommunication and workflow management systems.

Supervision of Petri Nets

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Publisher : Springer Science & Business Media
ISBN 13 : 1461515378
Total Pages : 209 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Supervision of Petri Nets by : Geert Stremersch

Download or read book Supervision of Petri Nets written by Geert Stremersch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supervision of Petri Nets presents supervisory control theory for Petri nets with a legal set as the control goal. Petri nets model discrete event systems - dynamic systems whose evolution is completely determined by the occurrence of discrete events. Control laws, which guarantee that the system meets a set of specifications in the presence of uncontrollable and unobservable events, are studied and constructed, using application areas such as automated manufacturing and transportation systems. Supervision of Petri Nets introduces a new and mathematically sound approach to the subject. Existing results are unified by proposing a general mathematical language that makes extensive use of order theoretical ideas, and numerous new results are described, including ready-to-use algorithms that construct supervisory control laws for Petri nets. Supervision of Petri Nets is an excellent reference for researchers, and may also be used as a supplementary text for advanced courses on control theory.

Petri Net Technology for Communication-Based Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540205381
Total Pages : 466 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Petri Net Technology for Communication-Based Systems by : Hartmut Ehrig

Download or read book Petri Net Technology for Communication-Based Systems written by Hartmut Ehrig and published by Springer Science & Business Media. This book was released on 2003-11-25 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This state-of-the-art survey in the Advances in Petri Nets series reports how various well-established and novel Petri net notions and techniques can be employed for modelling communication-based systems, with a particular focus on workflow management and business processes. The book builds on the success of a special program of the German Science Foundation (DFG) on Petri Net Technology as well as on broad participation from the international Petri net research community.