Download or read book Discrete Deterministic and Stochastic Petri Nets written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-02 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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...
Download or read book Analysis of Discrete Time Deterministic and Stochastic Petri Nets written by Robert Zijal and published by . This book was released on 1997 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Discrete Deterministic And Stochastic Petri Nets AD A322409 Oct 7 1997 written by and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Discrete Deterministic and Stochastic Petri Nets written by Robert Zijal and published by . This book was released on 1996 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "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."
Download or read book Discrete Continuous and Hybrid Petri Nets written by René David and published by Springer Science & Business Media. This book was released on 2005-09-08 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Petri nets do not designate a single modeling formalism. In fact, newcomers to the field confess sometimes to be a little puzzled by the diversity of formalisms that are recognized under this "umbrella". Disregarding some extensions to the theoretical modeling capabilities, and looking at the level of abstraction of the formalisms, Condition/Event, Elementary, Place/Transition, Predicate/Transition, Colored, Object Oriented... net systems are frequently encountered in the literature. On the other side, provided with appropriate interpretative extensions, Controled Net Systems, Marking Diagrams (the Petri net generalization of State Diagrams), or the many-many variants in which time can be explicitly incorporated -Time(d), Deterministic, (Generalized) Stochastic, Fuzzy...- are defined. This represents another way to define practical formalisms that can be obtained by the "cro- product" of the two mentioned dimensions. Thus Petri nets constitute a modeling paradigm, understandable in a broad sense as "the total pattern of perceiving, conceptualising, acting, validating and valuing associated with a particular image of reality that prevails in a science or a branch of science" (Thomas S. Kuhn).
Download or read book Analysis of Phase Type Stochastic Petri Nets with Discrete and Continuous Timing written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-09-18 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Petri net formalism is useful in studying many discrete-state, discrete-event systems exhibiting concurrency, synchronization, and other complex behavior. As a bipartite graph, the net can conveniently capture salient aspects of the system. As a mathematical tool, the net can specify an analyzable state space. Indeed, one can reason about certain qualitative properties (from state occupancies) and how they arise (the sequence of events leading there). By introducing deterministic or random delays, the model is forced to sojourn in states some amount of time, giving rise to an underlying stochastic process, one that can be specified in a compact way and capable of providing quantitative, probabilistic measures. We formalize a new non-Markovian extension to the Petri net that captures both discrete and continuous timing in the same model. The approach affords efficient, stationary analysis in most cases and efficient transient analysis under certain restrictions. Moreover, this new formalism has the added benefit in modeling fidelity stemming from the simultaneous capture of discrete- and continuous-time events (as opposed to capturing only one and approximating the other). We show how the underlying stochastic process, which is non-Markovian, can be resolved into simpler Markovian problems that enjoy efficient solutions. Solution algorithms are provided that can be easily programmed.Jones, Robert L. and Goode, Plesent W. (Technical Monitor)Langley Research CenterPETRI NETS; MARKOV PROCESSES; SYNCHRONISM; ALGORITHMS
Download or read book Modelling with Generalized Stochastic Petri Nets written by M. Ajmone Marsan and published by . This book was released on 1995-12-12 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Performance Modelling with Deterministic and Stochastic Petri Nets written by Christoph Lindemann and published by . This book was released on 1998-03-05 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides an up-to-date treatment of the fundamental techniques and algorithms for numerical analysis of deterministic and stochastic Petri nets, a particular stochastic modelling formalism, and the application of this modelling formalism to performance analysis for parallel computer architectures.
Download or read book Analysis of Phase Type Stochastic Petri Nets With Discrete and Continuous Timing written by and published by . This book was released on 2000 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Petri Nets written by Falko Bause and published by Vieweg+teubner Verlag. This book was released on 1996 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Proceedings of the Seventh International Workshop on Petri Nets and Performance Models written by and published by . This book was released on 1997 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the June 1996 workshop contain 24 papers selected according to a special review process. Papers are organized in 8 sessions, covering the topics of solution techniques, simulation, queueing systems, process algebra and applications. Specific topics include petri nets for modeling and evaluating deterministic and stochastic manufacturing systems; modeling of hybrid systems using continuous and hybrid petri nets; analysis of large GSPN models; timed petri net models of multithreaded multiprocessor architectures; discrete-event simulation of fluid stochastic petri nets; and GSPN analysis of ABR in ATM LANs. No index. Annotation copyrighted by Book News, Inc., Portland, OR.
Download or read book Discrete event Simulation of Fluid Stochastic Petri Nets written by Gianfranco Ciardo and published by . This book was released on 1997 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "The purpose of this paper is to describe a method for simulation of recently introduced fluid stochastic Petri nets. Since such nets result in rather complex set of partial differential equations, numerical solution becomes a formidable task. Because of a mixed, discrete and continuous state space, simulative solution also poses some interesting challenges, which are addressed in the paper."
Download or read book Timed Petri Nets written by Jiacun Wang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Simulation and Numerical Solution of Stochastic Petri Nets with Discrete and Continuous Timing written by Robert Linzey Jones and published by . This book was released on 2002 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Petri Nets for Modeling of Large Discrete Systems written by Reggie Davidrajuh and published by Springer Nature. This book was released on 2021-09-21 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a new Modular Petri Net as a solution to the vast Petri net models. It presents some approaches centering around modules (known as “Petri modules”). The goal of this book is to introduce a methodology in which Petri nets are moved to a new level. In this new level, large Petri net models are made of Petri modules, which are independent and run on different computers. This book also contains the literature study on modular Petri nets and definitions for the newer Petri modules. Also, algorithms for extracting Petri modules, and algorithms for connecting Petri modules, and applications are given in this book. Besides, the ideas and algorithms given in this book are implemented in the software General-purpose Petri Net Simulator (GPenSIM). Hence, with the use of this book the readers/users would be able to know that real-life discrete event systems could be modeled, analyzed, and performance-optimized with GPenSIM.
Download or read book Stochastic Petri Nets written by Peter J. Haas and published by . This book was released on 2004 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
