Stochastic Models In Reliability

Author : Shunji Osaki
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 48,7 Mb
Release : 2012-11-02
Category : Mathematics
ISBN : 9783540248088

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Stochastic Models in Reliability and Maintenance by Shunji Osaki Pdf

Our daily lives can be maintained by the high-technology systems. Computer systems are typical examples of such systems. We can enjoy our modern lives by using many computer systems. Much more importantly, we have to maintain such systems without failure, but cannot predict when such systems will fail and how to fix such systems without delay. A stochastic process is a set of outcomes of a random experiment indexed by time, and is one of the key tools needed to analyze the future behavior quantitatively. Reliability and maintainability technologies are of great interest and importance to the maintenance of such systems. Many mathematical models have been and will be proposed to describe reliability and maintainability systems by using the stochastic processes. The theme of this book is "Stochastic Models in Reliability and Main tainability. " This book consists of 12 chapters on the theme above from the different viewpoints of stochastic modeling. Chapter 1 is devoted to "Renewal Processes," under which classical renewal theory is surveyed and computa tional methods are described. Chapter 2 discusses "Stochastic Orders," and in it some definitions and concepts on stochastic orders are described and ag ing properties can be characterized by stochastic orders. Chapter 3 is devoted to "Classical Maintenance Models," under which the so-called age, block and other replacement models are surveyed. Chapter 4 discusses "Modeling Plant Maintenance," describing how maintenance practice can be carried out for plant maintenance.

Author : Terje Aven,Uwe Jensen
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 52,6 Mb
Release : 2008-01-08
Category : Mathematics
ISBN : 9780387225937

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Stochastic Models in Reliability by Terje Aven,Uwe Jensen Pdf

A comprehensive up-to-date presentation of some of the classical areas of reliability, based on a more advanced probabilistic framework using the modern theory of stochastic processes. This framework allows analysts to formulate general failure models, establish formulae for computing various performance measures, as well as determine how to identify optimal replacement policies in complex situations.

Author : Lirong Cui,Ilia Frenkel,Anatoly Lisnianski
Publisher : CRC Press
Page : 376 pages
File Size : 42,7 Mb
Release : 2020-09-01
Category : Mathematics
ISBN : 9781000094619

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Stochastic Models in Reliability Engineering by Lirong Cui,Ilia Frenkel,Anatoly Lisnianski Pdf

This book is a collective work by many leading scientists, analysts, mathematicians, and engineers who have been working at the front end of reliability science and engineering. The book covers conventional and contemporary topics in reliability science, all of which have seen extended research activities in recent years. The methods presented in this book are real-world examples that demonstrate improvements in essential reliability and availability for industrial equipment such as medical magnetic resonance imaging, power systems, traction drives for a search and rescue helicopter, and air conditioning systems. The book presents real case studies of redundant multi-state air conditioning systems for chemical laboratories and covers assessments of reliability and fault tolerance and availability calculations. Conventional and contemporary topics in reliability engineering are discussed, including degradation, networks, and dynamic reliability, resilience, and multi-state systems, all of which are relatively new topics to the field. The book is aimed at engineers and scientists, as well as postgraduate students involved in reliability design, analysis, and experiments and applied probability and statistics.

Author : Syouji Nakamura,Toshio Nakagawa
Publisher : World Scientific
Page : 317 pages
File Size : 55,5 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814277440

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Stochastic Reliability Modeling, Optimization and Applications by Syouji Nakamura,Toshio Nakagawa Pdf

Aims to survey research topics in reliability theory and useful applied techniques in reliability engineering. This book focuses on how to apply the results of reliability theory to practical models. Theoretical results of coherent, inspection, and damage systems are summarized methodically, using the techniques of stochastic processes.

Author : Maxim Finkelstein,Ji Hwan Cha
Publisher : Springer Science & Business Media
Page : 397 pages
File Size : 45,7 Mb
Release : 2013-04-12
Category : Technology & Engineering
ISBN : 9781447150282

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Stochastic Modeling for Reliability by Maxim Finkelstein,Ji Hwan Cha Pdf

Focusing on shocks modeling, burn-in and heterogeneous populations, Stochastic Modeling for Reliability naturally combines these three topics in the unified stochastic framework and presents numerous practical examples that illustrate recent theoretical findings of the authors. The populations of manufactured items in industry are usually heterogeneous. However, the conventional reliability analysis is performed under the implicit assumption of homogeneity, which can result in distortion of the corresponding reliability indices and various misconceptions. Stochastic Modeling for Reliability fills this gap and presents the basics and further developments of reliability theory for heterogeneous populations. Specifically, the authors consider burn-in as a method of elimination of ‘weak’ items from heterogeneous populations. The real life objects are operating in a changing environment. One of the ways to model an impact of this environment is via the external shocks occurring in accordance with some stochastic point processes. The basic theory for Poisson shock processes is developed and also shocks as a method of burn-in and of the environmental stress screening for manufactured items are considered. Stochastic Modeling for Reliability introduces and explores the concept of burn-in in heterogeneous populations and its recent development, providing a sound reference for reliability engineers, applied mathematicians, product managers and manufacturers alike.

Author : Toshio Nakagawa
Publisher : Springer Science & Business Media
Page : 254 pages
File Size : 44,6 Mb
Release : 2011-05-27
Category : Technology & Engineering
ISBN : 9780857292742

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Stochastic Processes by Toshio Nakagawa Pdf

Reliability theory is of fundamental importance for engineers and managers involved in the manufacture of high-quality products and the design of reliable systems. In order to make sense of the theory, however, and to apply it to real systems, an understanding of the basic stochastic processes is indispensable. As well as providing readers with useful reliability studies and applications, Stochastic Processes also gives a basic treatment of such stochastic processes as: the Poisson process, the renewal process, the Markov chain, the Markov process, and the Markov renewal process. Many examples are cited from reliability models to show the reader how to apply stochastic processes. Furthermore, Stochastic Processes gives a simple introduction to other stochastic processes such as the cumulative process, the Wiener process, the Brownian motion and reliability applications. Stochastic Processes is suitable for use as a reliability textbook by advanced undergraduate and graduate students. It is also of interest to researchers, engineers and managers who study or practise reliability and maintenance.

Author : Alessandro Birolini
Publisher : Springer Science & Business Media
Page : 113 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642465536

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On the Use of Stochastic Processes in Modeling Reliability Problems by Alessandro Birolini Pdf

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.

Author : U. Jensen
Publisher : Unknown
Page : 485 pages
File Size : 42,7 Mb
Release : 1997
Category : Electronic
ISBN : OCLC:471747488

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Stochastic Models in Reliability by U. Jensen Pdf

Author : Shunji Osaki
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642846816

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Applied Stochastic System Modeling by Shunji Osaki Pdf

This book was written for an introductory one-semester or two-quarter course in stochastic processes and their applications. The reader is assumed to have a basic knowledge of analysis and linear algebra at an undergraduate level. Stochastic models are applied in many fields such as engineering systems, physics, biology, operations research, business, economics, psychology, and linguistics. Stochastic modeling is one of the promising kinds of modeling in applied probability theory. This book is intended to introduce basic stochastic processes: Poisson pro cesses, renewal processes, discrete-time Markov chains, continuous-time Markov chains, and Markov-renewal processes. These basic processes are introduced from the viewpoint of elementary mathematics without going into rigorous treatments. This book also introduces applied stochastic system modeling such as reliability and queueing modeling. Chapters 1 and 2 deal with probability theory, which is basic and prerequisite to the following chapters. Many important concepts of probabilities, random variables, and probability distributions are introduced. Chapter 3 develops the Poisson process, which is one of the basic and im portant stochastic processes. Chapter 4 presents the renewal process. Renewal theoretic arguments are then used to analyze applied stochastic models. Chapter 5 develops discrete-time Markov chains. Following Chapter 5, Chapter 6 deals with continuous-time Markov chains. Continuous-time Markov chains have im portant applications to queueing models as seen in Chapter 9. A one-semester course or two-quarter course consists of a brief review of Chapters 1 and 2, fol lowed in order by Chapters 3 through 6.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 44,8 Mb
Release : 2024-06-14
Category : Electronic
ISBN : 9789814467551

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Stochastic Reliability Modeling, Optimization and Applications by Anonim Pdf

Author : Nalabolu Swathi
Publisher : Cambridge Scholars Publishing
Page : 180 pages
File Size : 52,8 Mb
Release : 2020-03-18
Category : Mathematics
ISBN : 9781527548626

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Reliability of Stochastic Stress-Strength Models by Nalabolu Swathi Pdf

This volume explores the reliability of time-dependent models using a variety of different concepts and techniques it details. It will be useful for research-level courses in statistics, applied mathematics, and operations research. The book will also be of interest to researchers requiring knowledge of applied probability and applied stochastic processes.

Author : Toshio Nakagawa
Publisher : Springer Science & Business Media
Page : 191 pages
File Size : 48,6 Mb
Release : 2007-02-01
Category : Technology & Engineering
ISBN : 9781846284427

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Shock and Damage Models in Reliability Theory by Toshio Nakagawa Pdf

This is the first monograph which presents shock and damage models in reliability from introduction to application. Stochastic processes are introduced before current developments are surveyed. The practical applications of shock and damage models are demonstrated using case studies. The author is a leading researcher in this field with more than thirty years of experience. Reliability engineers and managers of maintenance work will find this book a broad reference.

Author : Haijun Li,Xiaohu Li
Publisher : Springer Science & Business Media
Page : 459 pages
File Size : 51,6 Mb
Release : 2013-06-22
Category : Mathematics
ISBN : 9781461468929

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Stochastic Orders in Reliability and Risk by Haijun Li,Xiaohu Li Pdf

Stochastic Orders in Reliability and Risk Management is composed of 19 contributions on the theory of stochastic orders, stochastic comparison of order statistics, stochastic orders in reliability and risk analysis, and applications. These review/exploratory chapters present recent and current research on stochastic orders reported at the International Workshop on Stochastic Orders in Reliability and Risk Management, or SORR2011, which took place in the City Hotel, Xiamen, China, from June 27 to June 29, 2011. The conference’s talks and invited contributions also represent the celebration of Professor Moshe Shaked, who has made comprehensive, fundamental contributions to the theory of stochastic orders and its applications in reliability, queueing modeling, operations research, economics and risk analysis. This volume is in honor of Professor Moshe Shaked. The work presented in this volume represents active research on stochastic orders and multivariate dependence, and exemplifies close collaborations between scholars working in different fields. The Xiamen Workshop and this volume seek to revive the community workshop tradition on stochastic orders and dependence and strengthen research collaboration, while honoring the work of a distinguished scholar.

Author : Shunji Osaki
Publisher : World Scientific
Page : 306 pages
File Size : 52,8 Mb
Release : 1985
Category : Technology & Engineering
ISBN : 9971978563

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Stochastic System Reliability Modeling by Shunji Osaki Pdf

Probability theory. Stochastic processes. Markov renewal processes. Stochastic models for one-unit systems. Stochastic models for two-unit redundant systems. Stochastic models for fault-tolerant computing systems. Laplace-stieltjes transforms. Signal-flow graphs.

Author : Shunji Osaki
Publisher : Unknown
Page : 352 pages
File Size : 48,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3642534856

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Stochastic Models in Reliability and Maintenance by Shunji Osaki Pdf