Stochastic Petri Nets

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Stochastic Petri Nets

Author : Peter J. Haas
Publisher : Springer Science & Business Media
Page : 523 pages
File Size : 43,5 Mb
Release : 2006-04-10
Category : Mathematics
ISBN : 9780387215525

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Stochastic Petri Nets by Peter J. Haas Pdf

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.

Modelling with Generalized Stochastic Petri Nets

Author : M. Ajmone Marsan
Publisher : Unknown
Page : 338 pages
File Size : 41,6 Mb
Release : 1995-12-12
Category : Computers
ISBN : UOM:39015035012023

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Modelling with Generalized Stochastic Petri Nets by M. Ajmone Marsan Pdf

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.

Timed Petri Nets

Author : Jiacun Wang
Publisher : Springer Science & Business Media
Page : 286 pages
File Size : 54,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461555377

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Timed Petri Nets by Jiacun Wang Pdf

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.

Stochastic Petri Nets

Author : Falko Bause,Pieter S. Kritzinger
Publisher : Vieweg+teubner Verlag
Page : 260 pages
File Size : 53,7 Mb
Release : 1996
Category : Mathematics
ISBN : UOM:39015037306993

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Stochastic Petri Nets by Falko Bause,Pieter S. Kritzinger Pdf

Any engineer who is responsible for the design and development of discrete systems, such as embedded software for control or telecommunication systems, knows that the most important quality of the final product is that it be functionally correct. Once assured that the system behaves correctly, it is also important that it be efficient in that its running cost is minimal or is optimum in whatever quanititive measure is chosen. Stochastic Petri nets have been developes over the last decade with exactly these objectives in mind.This book is an introduction to Stochastic Petri nets and arose out of a desire by the authors to collect all one needs to understand Stochastic Petri net theory in one volume. The intention of this book is not to give an overview of several or all Stochastic Petri net models appearing in the literature, but to stress a combined view of functional and performance analysis in the context of some Stochastic Petri net models.The book contains a reference to several Stochastic Petri net tools which are available to help the reader apply the theory contained in this volume.USP: Für sicher funktionierende DV-Systeme

Petri Nets

Author : Michel Diaz
Publisher : John Wiley & Sons
Page : 456 pages
File Size : 42,9 Mb
Release : 2013-03-01
Category : Mathematics
ISBN : 9781118623053

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Petri Nets by Michel Diaz Pdf

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.

Modelling with Generalized Stochastic Petri Nets

Author : Marco Ajmone Marsan
Publisher : Unknown
Page : 301 pages
File Size : 41,6 Mb
Release : 2002
Category : Electronic
ISBN : OCLC:641907259

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Modelling with Generalized Stochastic Petri Nets by Marco Ajmone Marsan Pdf

Handbook Of Software Aging And Rejuvenation: Fundamentals, Methods, Applications, And Future Directions

Author : Tadashi Dohi,Kishor S Trivedi,Alberto Avritzer
Publisher : World Scientific
Page : 424 pages
File Size : 46,5 Mb
Release : 2020-04-22
Category : Computers
ISBN : 9789811214585

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Handbook Of Software Aging And Rejuvenation: Fundamentals, Methods, Applications, And Future Directions by Tadashi Dohi,Kishor S Trivedi,Alberto Avritzer Pdf

The Handbook of Software Aging and Rejuvenation provides a comprehensive overview of the subject, making it indispensable to graduate students as well as professionals in the field. It begins by introducing fundamental concepts, definitions, and the history of software aging and rejuvenation research, followed by methods, tools, and strategies that can be used to detect, analyze, and overcome software aging.

Computer Performance Evaluation. Modelling Techniques and Tools

Author : Boudewijn R. Haverkort
Publisher : Springer Science & Business Media
Page : 397 pages
File Size : 45,9 Mb
Release : 2000-03-13
Category : Computers
ISBN : 9783540672609

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Computer Performance Evaluation. Modelling Techniques and Tools by Boudewijn R. Haverkort Pdf

This book constitutes the refereed proceedings of the 11th International Conference on Modelling Tools and Techniques for Computer Communication System Performance Evaluation, TOOLS 2000, held in Schaumburg, IL, USA in March 2000. The 21 revised full papers presented were carefully reviewed and selected from a total of 49 submissions. Also included are 15 tool descriptions and one invited paper. The papers are organized in topical sections on queueing network models, optimization in mobile networks, stochastic Petri nets, simulation, formal methods and performance evaluation, and measurement tools and applications.

Understanding Petri Nets

Author : Wolfgang Reisig
Publisher : Springer Science & Business Media
Page : 236 pages
File Size : 52,5 Mb
Release : 2013-07-03
Category : Computers
ISBN : 9783642332784

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Understanding Petri Nets by Wolfgang Reisig Pdf

With their intuitive graphical approach and expressive analysis techniques, Petri nets are suitable for a wide range of applications and teaching scenarios, and they have gained wide acceptance as a modeling technique in areas such as software design and control engineering. The core theoretical principles have been studied for many decades and there is now a comprehensive research literature that complements the extensive implementation experience. In this book the author presents a clear, thorough introduction to the essentials of Petri nets. He explains the core modeling techniques and analysis methods and he illustrates their usefulness with examples and case studies. Part I describes how to use Petri nets for modeling; all concepts are explained with the help of examples, starting with a generic, powerful model which is also intuitive and realistic. Part II covers the essential analysis methods that are specific to Petri nets, introducing techniques used to formulate key properties of system nets and algorithms for proving their validity. Part III presents case studies, each introducing new concepts, properties and analysis techniques required for very different modeling tasks. The author offers different paths among the chapters and sections: the elementary strand for readers who wish to study only elementary nets; the modeling strand for those who wish to study the modeling but not the analysis of systems; and finally the elementary models of the modeling strand for those interested in technically simple, but challenging examples and case studies. The author achieves an excellent balance between consistency, comprehensibility and correctness in a book of distinctive design. Among its characteristics, formal arguments are reduced to a minimum in the main text with many of the theoretical formalisms moved to an appendix, the explanations are supported throughout with fully integrated graphical illustrations, and each chapter ends with exercises and recommendations for further reading. The book is suitable for students of computer science and related subjects such as engineering, and for a broad range of researchers and practitioners.

Petri Nets in Flexible and Agile Automation

Author : MengChu Zhou
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461522317

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Petri Nets in Flexible and Agile Automation by MengChu Zhou Pdf

Over the past two decades, research in the theory of Petri nets and the development of graphical tools has yielded a powerful methodology. The contributions in Petri Nets in Flexible and Agile Automation present theoretical development of Petri nets as well as in industrial applications to areas such as discrete- event control design, scheduling, performance evaluation and deadlock avoidance. These contributions also include comparative studies of Petri nets and other approaches. A primary theme of this book is to provide a unified approach to the applications of Petri nets in flexible and agile automation and, in that regard, a common notation and terminology is used. The book also allows readers to evaluate the benefits and applicability of state-of-the-art Petri net methods and apply CAD tools to problems of interest. Petri Nets in Flexible and Agile Automation is not only an essential reference for researchers, it is also a very useful tool for engineers, analysts and managers who are responsible for the design, implementation and operation of the next generation of manufacturing systems.

Stochastic Petri Nets for Wireless Networks

Author : Lei Lei,Chuang Lin,Zhangdui Zhong
Publisher : Springer
Page : 113 pages
File Size : 40,7 Mb
Release : 2015-04-08
Category : Computers
ISBN : 9783319168838

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Stochastic Petri Nets for Wireless Networks by Lei Lei,Chuang Lin,Zhangdui Zhong Pdf

This SpringerBrief presents research in the application of Stochastic Petri Nets (SPN) to the performance evaluation of wireless networks under bursty traffic. It covers typical Quality-of-Service performance metrics such as mean throughput, average delay and packet dropping probability. Along with an introduction of SPN basics, the authors introduce the key motivation and challenges of using SPN to analyze the resource sharing performance in wireless networks. The authors explain two powerful modeling techniques that treat the well-known state space explosion problem: model decomposition and iteration, and model aggregation using stochastic high-level petri nets. The first technique assists in performance analysis of opportunistic scheduling, Device-to-Device communications with full frequency reuse and partial frequency reuse. The second technique is used to formulate a wireless channel mode for cross-layer performance analysis in OFDM system. Stochastic Petri Nets for Wireless Networks reveals useful insights for the design of radio resource management algorithms and a new line of thinking for the performance evaluation of future wireless networks. This material is valuable as a reference for researchers and professionals working in wireless networks and for advanced-level students studying wireless technologies in electrical engineering or computer science.

Quantum Techniques In Stochastic Mechanics

Author : Baez John C,Biamonte Jacob D
Publisher : World Scientific
Page : 276 pages
File Size : 45,8 Mb
Release : 2018-02-14
Category : Science
ISBN : 9789813226968

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Quantum Techniques In Stochastic Mechanics by Baez John C,Biamonte Jacob D Pdf

We introduce the theory of chemical reaction networks and their relation to stochastic Petri nets — important ways of modeling population biology and many other fields. We explain how techniques from quantum mechanics can be used to study these models. This relies on a profound and still mysterious analogy between quantum theory and probability theory, which we explore in detail. We also give a tour of key results concerning chemical reaction networks and Petri nets. Contents: Stochastic Petri Nets The Rate Equation The Master Equation Probabilities vs Amplitudes Annihilation and Creation Operators An Example from Population Biology Feynman Diagrams The Anderson–Craciun–Kurtz Theorem An Example of the Anderson–Craciun–Kurtz Theorem A Stochastic Version of Noether's Theorem Quantum Mechanics vs Stochastic Mechanics Noether's Theorem: Quantum vs Stochastic Chemistry and the Desargues Graph Graph Laplacians Dirichlet Operators and Electrical Circuits Perron–Frobenius Theory The Deficiency Zero Theorem Example of the Deficiency Zero Theorem Example of the Anderson–Craciun–Kurtz Theorem The Deficiency of a Reaction Network Rewriting the Rate Equation The Rate Equation and Markov Processes Proof of the Deficiency Zero Theorem Noether's Theorem for Dirichlet Operators Computation and Petri Nets Summary Table Readership: Graduate students and researchers in the field of quantum and mathematical physics. Keywords: Stochastic;Quantum;Markov Process;Chemical Reaction Network;Petri NetReview: Key Features: It's a light-hearted introduction to a deep analogy between probability theory and quantum theory It explains how stochastic Petri nets can be used in modeling in biology, chemistry, and many other fields It gives new proofs of some fundamental theorems about chemical reaction networks

Performance Analysis of Communication Systems

Author : Reinhard German
Publisher : John Wiley & Sons
Page : 466 pages
File Size : 47,9 Mb
Release : 2000-06-08
Category : Computers
ISBN : UOM:39015045668657

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Performance Analysis of Communication Systems by Reinhard German Pdf

Provides a clear and systematic introduction to the use of stochastic Petri nets in communications systems engineering and the analysis techniques and algorithms used in performance evaluation. The field of communication systems is full of complex design questions concerning performance and reliability. Since data traffic and errors occur in a random fashion, stochastic models are used for developing and comparing systems. In particular, stochastic Petri nets have become a popular tool for the description and automatic evaluation of such models. The use of non-Markovian models has become important as they allow more flexibility. This book * Provides a clear exposition of the use of stochastic Petri nets in communication systems engineering * Introduces the reader to the analysis techniques and algorithsm used in performance evaluation * Provides an accompanying example to clarify the use of each definition, concept and algorithm * Mathematica routines used for implementing the algorithms are available on the Wiley ftp site The text will appeal to researchers, industrial engineers, and graduate students studying communication systems and stochastic modeling. The numerous examples will benefit those working in performance evaluation, reliability, operations research, queueing theory and computer science. The Mathematica routines used for implementing the algorithms are available for downloading on the following Wiley ftp site: ftp://ftp.wiley.co.uk/pub/books/german

Stochastic Petri Nets

Author : Peter J. Haas
Publisher : Unknown
Page : 532 pages
File Size : 52,5 Mb
Release : 2004
Category : Electronic
ISBN : OCLC:936896426

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Stochastic Petri Nets by Peter J. Haas Pdf

Stochastic Petri nets have proven to be a useful tool for modelling and performance analysis of complex discrete-event stochastic systems such as those in telecommunications, manufacturing, transportation. This monograph centres on techniques for the modelling and computer simulation of such systems.

Discrete Deterministic and Stochastic Petri Nets

Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
Page : 26 pages
File Size : 47,6 Mb
Release : 2018-07-02
Category : Electronic
ISBN : 1722174595

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Discrete Deterministic and Stochastic Petri Nets by National Aeronautics and Space Administration (NASA) Pdf

Petri nets augmented with timing specifications gained a wide acceptance in the area of performance and reliability evaluation of complex systems exhibiting concurrency, synchronization, and conflicts. The state space of time-extended Petri nets is mapped onto its basic underlying stochastic process, which can be shown to be Markovian under the assumption of exponentially distributed firing times. The integration of exponentially and non-exponentially distributed timing is still one of the major problems for the analysis and was first attacked for continuous time Petri nets at the cost of structural or analytical restrictions. We propose a discrete deterministic and stochastic Petri net (DDSPN) formalism with no imposed structural or analytical restrictions where transitions can fire either in zero time or according to arbitrary firing times that can be represented as the time to absorption in a finite absorbing discrete time Markov chain (DTMC). Exponentially distributed firing times are then approximated arbitrarily well by geometric distributions. Deterministic firing times are a special case of the geometric distribution. The underlying stochastic process of a DDSPN is then also a DTMC, from which the transient and stationary solution can be obtained by standard techniques. A comprehensive algorithm and some state space reduction techniques for the analysis of DDSPNs are presented comprising the automatic detection of conflicts and confusions, which removes a major obstacle for the analysis of discrete time models. Zijal, Robert and Ciardo, Gianfranco Langley Research Center NAS1-19480; DFG-1257/7-1...