Stochastic Modeling For Reliability

Author : Shunji Osaki
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 47,8 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 : Maxim Finkelstein,Ji Hwan Cha
Publisher : Springer Science & Business Media
Page : 397 pages
File Size : 43,7 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 : Syouji Nakamura,Toshio Nakagawa
Publisher : World Scientific
Page : 317 pages
File Size : 41,5 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 : Lirong Cui,Ilia Frenkel,Anatoly Lisnianski
Publisher : CRC Press
Page : 376 pages
File Size : 55,8 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 : Terje Aven,Uwe Jensen
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 46,6 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 : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 48,6 Mb
Release : 2024-06-07
Category : Electronic
ISBN : 9789814467551

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Stochastic Reliability Modeling, Optimization and Applications by Anonim Pdf

Author : Alessandro Birolini
Publisher : Springer Science & Business Media
Page : 113 pages
File Size : 54,9 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 : Shunji Osaki
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 50,6 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 : Tadashi Dohi,Toshio Nakagawa
Publisher : Springer
Page : 360 pages
File Size : 51,7 Mb
Release : 2013-04-23
Category : Technology & Engineering
ISBN : 1447149726

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Stochastic Reliability and Maintenance Modeling by Tadashi Dohi,Toshio Nakagawa Pdf

In honor of the work of Professor Shunji Osaki, Stochastic Reliability and Maintenance Modeling provides a comprehensive study of the legacy of and ongoing research in stochastic reliability and maintenance modeling. Including associated application areas such as dependable computing, performance evaluation, software engineering, communication engineering, distinguished researchers review and build on the contributions over the last four decades by Professor Shunji Osaki. Fundamental yet significant research results are presented and discussed clearly alongside new ideas and topics on stochastic reliability and maintenance modeling to inspire future research. Across 15 chapters readers gain the knowledge and understanding to apply reliability and maintenance theory to computer and communication systems. Stochastic Reliability and Maintenance Modeling is ideal for graduate students and researchers in reliability engineering, and workers, managers and engineers engaged in computer, maintenance and management works.

Author : Oliver Ibe
Publisher : Newnes
Page : 514 pages
File Size : 41,7 Mb
Release : 2013-05-22
Category : Mathematics
ISBN : 9780124078390

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Markov Processes for Stochastic Modeling by Oliver Ibe Pdf

Markov processes are processes that have limited memory. In particular, their dependence on the past is only through the previous state. They are used to model the behavior of many systems including communications systems, transportation networks, image segmentation and analysis, biological systems and DNA sequence analysis, random atomic motion and diffusion in physics, social mobility, population studies, epidemiology, animal and insect migration, queueing systems, resource management, dams, financial engineering, actuarial science, and decision systems. Covering a wide range of areas of application of Markov processes, this second edition is revised to highlight the most important aspects as well as the most recent trends and applications of Markov processes. The author spent over 16 years in the industry before returning to academia, and he has applied many of the principles covered in this book in multiple research projects. Therefore, this is an applications-oriented book that also includes enough theory to provide a solid ground in the subject for the reader. Presents both the theory and applications of the different aspects of Markov processes Includes numerous solved examples as well as detailed diagrams that make it easier to understand the principle being presented Discusses different applications of hidden Markov models, such as DNA sequence analysis and speech analysis.

Author : Shunji Osaki
Publisher : World Scientific
Page : 306 pages
File Size : 41,9 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 : N. Ravichandran
Publisher : Wiley-Interscience
Page : 201 pages
File Size : 48,5 Mb
Release : 1991-02-08
Category : Mathematics
ISBN : 0470216816

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Stochastic Methods in Reliability Theory by N. Ravichandran Pdf

Presents various stochastic models that are used in the reliability analysis of redundant repairable systems. Discusses the application of stochastic problems in evaluating several important operating characteristics of the system from the viewpoint of model building and numerical amputation of end results. Many results in this area are summarized with an emphasis on the stochastic modeling of these systems and detailed discussions of computational aspects.

Author : Nalabolu Swathi
Publisher : Cambridge Scholars Publishing
Page : 180 pages
File Size : 51,8 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 : Maxim Finkelstein
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 42,9 Mb
Release : 2008-11-07
Category : Technology & Engineering
ISBN : 9781848009868

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Failure Rate Modelling for Reliability and Risk by Maxim Finkelstein Pdf

“Failure Rate Modeling for Reliability and Risk” focuses on reliability theory, and to the failure rate (hazard rate, force of mortality) modeling and its generalizations to systems operating in a random environment and to repairable systems. The failure rate is one of the crucial probabilistic characteristics for a number of disciplines; including reliability, survival analysis, risk analysis and demography. The book presents a systematic study of the failure rate and related indices, and covers a number of important applications where the failure rate plays the major role. Applications in engineering systems are studied, together with some actuarial, biological and demographic examples. The book provides a survey of this broad and interdisciplinary subject which will be invaluable to researchers and advanced students in reliability engineering and applied statistics, as well as to demographers, econometricians, actuaries and many other mathematically oriented researchers.

Author : Terje Aven,Uwe Jensen
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 42,5 Mb
Release : 2013-08-04
Category : Mathematics
ISBN : 9781461478942

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Stochastic Models in Reliability by Terje Aven,Uwe Jensen Pdf

This book provides 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. In this second edition of the book, two major topics have been added to the original version: copula models which are used to study the effect of structural dependencies on the system reliability; and maintenance optimization which highlights delay time models under safety constraints. Terje Aven is Professor of Reliability and Risk Analysis at University of Stavanger, Norway. Uwe Jensen is working as a Professor at the Institute of Applied Mathematics and Statistics of the University of Hohenheim in Stuttgart, Germany. Review of first edition: "This is an excellent book on mathematical, statistical and stochastic models in reliability. The authors have done an excellent job of unifying some of the stochastic models in reliability. The book is a good reference book but may not be suitable as a textbook for students in professional fields such as engineering. This book may be used for graduate level seminar courses for students who have had at least the first course in stochastic processes and some knowledge of reliability mathematics. It should be a good reference book for researchers in reliability mathematics." --Mathematical Reviews (2000)