Discrete Deterministic And Stochastic Petri Nets
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Discrete Deterministic And Stochastic Petri Nets
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-02
Discrete Deterministic And Stochastic Petri Nets written by National Aeronautics and Space Administration (NASA) and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-02 with categories.
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...
Analysis Of Discrete Time Deterministic And Stochastic Petri Nets
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Author : Robert Zijal
language : en
Publisher:
Release Date : 1997
Analysis Of Discrete Time Deterministic And Stochastic Petri Nets written by Robert Zijal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Discrete Deterministic And Stochastic Petri Nets
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Author : Robert Zijal
language : en
Publisher:
Release Date : 1996
Discrete Deterministic And Stochastic Petri Nets written by Robert Zijal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Petri nets categories.
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."
Discrete Deterministic And Stochastic Petri Nets Ad A322409 Oct 7 1997
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Author :
language : en
Publisher:
Release Date : 1998
Discrete Deterministic And Stochastic Petri Nets Ad A322409 Oct 7 1997 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Discrete Continuous And Hybrid Petri Nets
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Author : René David
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-09-08
Discrete Continuous And Hybrid Petri Nets written by René David 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 2005-09-08 with Technology & Engineering categories.
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).
Performance Modelling With Deterministic And Stochastic Petri Nets
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Author : Christoph Lindemann
language : en
Publisher:
Release Date : 1998-03-05
Performance Modelling With Deterministic And Stochastic Petri Nets written by Christoph Lindemann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-05 with Computers categories.
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.
Analysis Of Phase Type Stochastic Petri Nets With Discrete And Continuous Timing
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Author :
language : en
Publisher:
Release Date : 2000
Analysis Of Phase Type Stochastic Petri Nets With Discrete And Continuous Timing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Stochastic Petri Nets
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Author : Peter J. Haas
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-10
Stochastic Petri Nets written by Peter J. Haas 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 2006-04-10 with Mathematics categories.
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.
Analysis Of Phase Type Stochastic Petri Nets With Discrete And Continuous Timing
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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher: Independently Published
Release Date : 2018-09-18
Analysis Of Phase Type Stochastic Petri Nets With Discrete And Continuous Timing written by National Aeronautics and Space Adm Nasa and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-18 with Science categories.
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
Proceedings Of The Seventh International Workshop On Petri Nets And Performance Models
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Author :
language : en
Publisher:
Release Date : 1997
Proceedings Of The Seventh International Workshop On Petri Nets And Performance Models written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Machine theory categories.
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.