Timed Petri Nets
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Time And Petri Nets
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Author : Louchka Popova-Zeugmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-05
Time And Petri Nets written by Louchka Popova-Zeugmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-05 with Computers categories.
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.
Timed Petri Nets
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Author : International Workshop on Timed Petri Nets
language : en
Publisher:
Release Date : 1985
Timed Petri Nets written by International Workshop on Timed Petri Nets and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Timed Petri Nets
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Author : International Workshop on Timed Petri Nets
language : en
Publisher:
Release Date : 1985
Timed Petri Nets written by International Workshop on Timed Petri Nets and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Timed Petri Nets
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Author : Jiacun Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Timed Petri Nets written by Jiacun Wang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Discrete Timed Petri Nets
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Author : Tsu Hua Wang
language : en
Publisher:
Release Date : 1987
Discrete Timed Petri Nets written by Tsu Hua Wang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Petri nets categories.
Abstract: "An analysis technique for discrete timed Petri nets is presented. In discrete timed Petri nets, each transition (event) takes certain amount of time to execute. Unlike conventional Petri nets (Petri nets under the 'one at a time' firing rule), the maximum firing rule is used in discrete timed Petri nets. The analysis of a discrete timed Petri net is based on the reachability tree. An algorithm to construct a finite reachability tree for n-bounded discrete timed Petri nets is presented. It is also shown that the notion of w symbol cannot be used in the monotonically increasing sequence of markings. A stronger condition to detect repeated path in a reachability tree is developed."
Timed Petri Nets
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Author : Institute of Electrical and Electronics Engineers
language : en
Publisher:
Release Date : 1985
Timed Petri Nets written by Institute of Electrical and Electronics Engineers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
International Workshop On Timed Petri Nets
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Author :
language : en
Publisher:
Release Date : 1985
International Workshop On Timed Petri Nets written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Graph theory categories.
Timed Petri Nets In Protocol Modeling
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Author : David A. Harden
language : en
Publisher:
Release Date : 1985
Timed Petri Nets In Protocol Modeling written by David A. Harden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Performance Analysis Of Timed Petri Nets By Decomposition Of The State Space
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Author : Floarea Suciu
language : en
Publisher:
Release Date : 1998
Performance Analysis Of Timed Petri Nets By Decomposition Of The State Space written by Floarea Suciu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Petri nets categories.
Petri Nets
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Author : Pawel Pawlewski
language : en
Publisher: IntechOpen
Release Date : 2012-08-29
Petri Nets written by Pawel Pawlewski and has been published by IntechOpen this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-29 with Computers categories.
Petri Nets were introduced in the doctoral dissertation by K.A. Petri, titled "Kommunikation mit Automaten" and published in 1962 by University of Bonn. Petri Nets are graphical (the intuitive graphical modeling language) and mathematical (advanced formal analysis method) tool. The concurrence of performed actions is the natural phenomenon due to which Petri Nets are perceived as mathematical tool for modeling concurrent systems. The main idea of this theory was modified by many researchers according to their needs, owing to the unusual "flexibility" of this theory. The present monograph focuses on Petri Nets applications in two main areas: manufacturing (section 1) and computer science (section 2). These two areas have still huge influence on our lives and our world. The theory of Petri Nets is still developing: some directions of investigations are presented in section 3. And at the end there is section 4 including some infesting facts concerning application of Petri Nets in the public area: the analysis and control of public bicycle sharing systems. The monograph shows the results of research works performed with use of Petri Nets in science centers all over the world.