Applications Of Semi Markov Processes To Counter And Reliability Problems
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Semi Markov Processes And Reliability
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Author : N. Limnios
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Semi Markov Processes And Reliability written by N. Limnios 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 Technology & Engineering categories.
At first there was the Markov property. The theory of stochastic processes, which can be considered as an exten sion of probability theory, allows the modeling of the evolution of systems through the time. It cannot be properly understood just as pure mathemat ics, separated from the body of experience and examples that have brought it to life. The theory of stochastic processes entered a period of intensive develop ment, which is not finished yet, when the idea of the Markov property was brought in. Not even a serious study of the renewal processes is possible without using the strong tool of Markov processes. The modern theory of Markov processes has its origins in the studies by A. A: Markov (1856-1922) of sequences of experiments "connected in a chain" and in the attempts to describe mathematically the physical phenomenon known as Brownian mo tion. Later, many generalizations (in fact all kinds of weakenings of the Markov property) of Markov type stochastic processes were proposed. Some of them have led to new classes of stochastic processes and useful applications. Let us mention some of them: systems with complete connections [90, 91, 45, 86]; K-dependent Markov processes [44]; semi-Markov processes, and so forth. The semi-Markov processes generalize the renewal processes as well as the Markov jump processes and have numerous applications, especially in relia bility.
Applied Semi Markov Processes
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Author : Jacques Janssen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-08
Applied Semi Markov Processes written by Jacques Janssen 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 2006-02-08 with Mathematics categories.
Aims to give to the reader the tools necessary to apply semi-Markov processes in real-life problems. The book is self-contained and, starting from a low level of probability concepts, gradually brings the reader to a deep knowledge of semi-Markov processes. Presents homogeneous and non-homogeneous semi-Markov processes, as well as Markov and semi-Markov rewards processes. The concepts are fundamental for many applications, but they are not as thoroughly presented in other books on the subject as they are here.
Semi Markov Processes Applications In System Reliability And Maintenance
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Author : Franciszek Grabski
language : en
Publisher: Elsevier
Release Date : 2014-09-25
Semi Markov Processes Applications In System Reliability And Maintenance written by Franciszek Grabski and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-25 with Technology & Engineering categories.
Semi-Markov Processes: Applications in System Reliability and Maintenance is a modern view of discrete state space and continuous time semi-Markov processes and their applications in reliability and maintenance. The book explains how to construct semi-Markov models and discusses the different reliability parameters and characteristics that can be obtained from those models. The book is a useful resource for mathematicians, engineering practitioners, and PhD and MSc students who want to understand the basic concepts and results of semi-Markov process theory. Clearly defines the properties and theorems from discrete state Semi-Markov Process (SMP) theory. Describes the method behind constructing Semi-Markov (SM) models and SM decision models in the field of reliability and maintenance. Provides numerous individual versions of SM models, including the most recent and their impact on system reliability and maintenance.
Applications Of Semi Markov Processes To Counter And Reliability Problems
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Author : Richard E. Barlow
language : en
Publisher:
Release Date : 1960
Applications Of Semi Markov Processes To Counter And Reliability Problems written by Richard E. Barlow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Markov processes categories.
Semi Markov Processes And Reliability
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Author : Nikolaos Limnios
language : en
Publisher:
Release Date : 2001
Semi Markov Processes And Reliability written by Nikolaos Limnios and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Markov processes categories.
Semi Markov Chains And Hidden Semi Markov Models Toward Applications
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Author : Vlad Stefan Barbu
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-01-07
Semi Markov Chains And Hidden Semi Markov Models Toward Applications written by Vlad Stefan Barbu 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 2009-01-07 with Mathematics categories.
Here is a work that adds much to the sum of our knowledge in a key area of science today. It is concerned with the estimation of discrete-time semi-Markov and hidden semi-Markov processes. A unique feature of the book is the use of discrete time, especially useful in some specific applications where the time scale is intrinsically discrete. The models presented in the book are specifically adapted to reliability studies and DNA analysis. The book is mainly intended for applied probabilists and statisticians interested in semi-Markov chains theory, reliability and DNA analysis, and for theoretical oriented reliability and bioinformatics engineers.
On The Use Of Stochastic Processes In Modeling Reliability Problems
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Author : Alessandro Birolini
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
On The Use Of Stochastic Processes In Modeling Reliability Problems written by Alessandro Birolini 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 Business & Economics categories.
Stochastic processes are powerful tools for the investigation of reliability and availability of repairable equipment and systems. Because of the involved models, and in order to be mathematically tractable, these processes are generally confined to the class of regenerative stochastic processes with a finite state space, to which belong: renewal processes, Markov processes, semi-Markov processes, and more general regenerative processes with only one (or a few) regeneration staters). The object of this monograph is to review these processes and to use them in solving some reliability problems encountered in practical applications. Emphasis is given to a comprehensive exposition of the analytical procedures, to the limitations in volved, and to the unification and extension of. the models known in the literature. The models investigated here assume. that systems have only one repair crew and that no further failure can occur at system down. Repair and failure rates are general ized step-by-step, up to the case in which the involved process is regenerative with only one (or a few) regeneration state(s). Investigations deal with different kinds of reliabilities and availabilities for series/parallel structures. Preventive main tenance and imperfect switching are considered in some examples.
Continuos Time Markov Modulated Chains In Operations Research
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Author : Alexander M Andronov
language : en
Publisher: World Scientific
Release Date : 2024-04-22
Continuos Time Markov Modulated Chains In Operations Research written by Alexander M Andronov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-22 with Mathematics categories.
Probabilistic models are widely used for description and an analysis of various processes in system reliability, risk, queuing, data communication, logistic and storage systems. The book contains various applications of the theory of continuous-time Markov-modulated processes in operation research. All analytical results are illustrated by numerical computations. Used algorithms allow overcoming computation difficulties successfully. For example, a calculation of transient probabilities of states for a continuous-time finite Markov chain uses eigenvalues and eigenvectors of the corresponding matrix (generator). In a more complex case of differential or integral equations, such a simple explicit form of a solution is missing. The explicit form of solution is presented by means of infinity sums of functions. For example, often we have to deal with the so-called renewal equation. Its solution is presented as an infinite sum of the renewal function. In this case, an approximation of functions of interest and iterative computation procedures are used.
U S Government Research Reports
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Author :
language : en
Publisher:
Release Date : 1961
U S Government Research Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Science categories.
Semi Markov Models
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Author : Yuriy E Obzherin
language : en
Publisher: Academic Press
Release Date : 2015-02-03
Semi Markov Models written by Yuriy E Obzherin and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-03 with Mathematics categories.
Featuring previously unpublished results, Semi-Markov Models: Control of Restorable Systems with Latent Failures describes valuable methodology which can be used by readers to build mathematical models of a wide class of systems for various applications. In particular, this information can be applied to build models of reliability, queuing systems, and technical control. Beginning with a brief introduction to the area, the book covers semi-Markov models for different control strategies in one-component systems, defining their stationary characteristics of reliability and efficiency, and utilizing the method of asymptotic phase enlargement developed by V.S. Korolyuk and A.F. Turbin. The work then explores semi-Markov models of latent failures control in two-component systems. Building on these results, solutions are provided for the problems of optimal periodicity of control execution. Finally, the book presents a comparative analysis of analytical and imitational modeling of some one- and two-component systems, before discussing practical applications of the results Reflects the possibility and effectiveness of this method of modeling systems, such as phase merging algorithms developed by V.S. Korolyuk, A.F. Turbin, A.V. Swishchuk, little covered elsewhere Focuses on possible applications to engineering control systems