Timed Petri Nets
Timed Petri Nets

Author: Jiacun Wang

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 286

ISBN-13: 146155537X

DOWNLOAD EBOOK

Driven by the request for increased productivity, flexibility, and competitiveness, modern civilization increasingly has created high-performance discrete event dynamic systems (DEDSs). These systems exhibit concurrent, sequential, competitive activities among their components. They are often complex and large in scale, and necessarily flexible and thus highly capital-intensive. Examples of systems are manufacturing systems, communication networks, traffic and logistic systems, and military command and control systems. Modeling and performance evaluation play a vital role in the design and operation of such high-performance DEDSs and thus have received widespread attention from researchers over the past two decades. One methodology resulting from this effort is based on timed Petri nets and related graphical and mathematical tools. The popularity that Petri nets have been gaining in modeling of DEDSs is due to their powerful representational ability of concurrency and synchronization; however these properties of DEDSs cannot be expressed easily in traditional formalisms developed for analysis of `classical' systems with sequential behaviors. This book introduces the theories and applications of timed Petri nets systematically. Moreover, it also presents many practical applications in addition to theoretical developments, together with the latest research results and industrial applications of timed Petri nets. Timed Petri Nets: Theory and Application is intended for use by researchers and practitioners in the area of Discrete Event Dynamic Systems.

Timed Petri Nets
Timed Petri Nets

Author: Jiacun Wang

Publisher: American Mathematical Soc.

Published: 1998-10-31

Total Pages: 298

ISBN-13: 9780792382706

DOWNLOAD EBOOK

Introduces theories and applications of timed Petri nets, focusing on their use in modeling of discrete event dynamic systems (DEDSs). Examines characteristics and performance of DEDSs, introduces fundamentals of Petri nets, and details analysis methods and application of deterministic timed transition Petri nets. Addresses firing policies, memory properties, and stochastic processes of timed Petri nets, and describes theory and application of high-level stochastic Petri nets and semi-Markovian SPN models. Annotation copyrighted by Book News, Inc., Portland, OR

Petri Nets
Petri Nets

Author: Michel Diaz

Publisher: John Wiley & Sons

Published: 2013-03-01

Total Pages: 456

ISBN-13: 1118623053

DOWNLOAD EBOOK

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.

Time and Petri Nets
Time and Petri Nets

Author: Louchka Popova-Zeugmann

Publisher: Springer Science & Business Media

Published: 2013-11-05

Total Pages: 219

ISBN-13: 3642411150

DOWNLOAD EBOOK

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.

Modelling with Generalized Stochastic Petri Nets
Modelling with Generalized Stochastic Petri Nets

Author: M. Ajmone Marsan

Publisher:

Published: 1995-12-12

Total Pages: 338

ISBN-13:

DOWNLOAD EBOOK

World renowned leaders in the field provide an accessible introduction to the use of Generalized Stochastic Petri Nets (GSPNs) for the performance analysis of diverse distributed systems. Divided into two parts, it begins with a summary of the major results in GSPN theory. The second section is devoted entirely to application examples which demonstrate how GSPN methodology can be used in different arenas. A simple version of the software tool used to analyse GSPN models is included with the book and a concise manual for its use is presented in the later chapters.

Advances in Verification of Time Petri Nets and Timed Automata
Advances in Verification of Time Petri Nets and Timed Automata

Author: Wojciech Penczek

Publisher: Springer

Published: 2007-03-06

Total Pages: 279

ISBN-13: 354032870X

DOWNLOAD EBOOK

This monograph presents a comprehensive introduction to timed automata (TA) and time Petri nets (TPNs) which belong to the most widely used models of real-time systems. Some of the existing methods of translating time Petri nets to timed automata are presented, with a focus on the translations that correspond to the semantics of time Petri nets, associating clocks with various components of the nets.

Free Choice Petri Nets
Free Choice Petri Nets

Author: Jorg Desel

Publisher: Cambridge University Press

Published: 1995-01-12

Total Pages: 256

ISBN-13: 9780521465199

DOWNLOAD EBOOK

Petri nets are a model for the analysis of concurrent systems.

Petri Nets for Systems Engineering
Petri Nets for Systems Engineering

Author: Claude Girault

Publisher: Springer Science & Business Media

Published: 2003

Total Pages: 628

ISBN-13: 9783540412175

DOWNLOAD EBOOK

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.