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Reliability of Stochastic Stress-Strength Models

Author: Nalabolu Swathi

Publisher: Cambridge Scholars Publishing

Published: 2020-03-18

Total Pages: 180

ISBN-13: 1527548627

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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.

Book Synopsis Reliability of Stochastic Stress-Strength Models by : Nalabolu Swathi

Download or read book Reliability of Stochastic Stress-Strength Models written by Nalabolu Swathi and published by Cambridge Scholars Publishing. This book was released on 2020-03-18 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Stress-strength Model and Its Generalizations

Author: Samuel Kotz

Publisher: World Scientific

Published: 2003

Total Pages: 273

ISBN-13: 9812380574

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This important book presents developments in a remarkable field of inquiry in statistical/probability theory -- the stressstrength model. Many papers in the field include the enigmatic "words" P(XThe StressStrength Model and Its Generalizations collects and digests theoretical and practical results on the theory and applications of the stressstrength relationships in industrial and economic systems -- results that have been scattered in the literature during the last 40-odd years -- and augments and presents them for the first time in a unified manner suitable for practitioners as well as probabilists and theoretical and applied statisticians.

Book Synopsis The Stress-strength Model and Its Generalizations by : Samuel Kotz

Download or read book The Stress-strength Model and Its Generalizations written by Samuel Kotz and published by World Scientific. This book was released on 2003 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book presents developments in a remarkable field of inquiry in statistical/probability theory -- the stressstrength model. Many papers in the field include the enigmatic "words" P(XThe StressStrength Model and Its Generalizations collects and digests theoretical and practical results on the theory and applications of the stressstrength relationships in industrial and economic systems -- results that have been scattered in the literature during the last 40-odd years -- and augments and presents them for the first time in a unified manner suitable for practitioners as well as probabilists and theoretical and applied statisticians.

Stochastic Modeling for Reliability

Author: Maxim Finkelstein

Publisher: Springer Science & Business Media

Published: 2013-04-12

Total Pages: 397

ISBN-13: 1447150287

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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.

Book Synopsis Stochastic Modeling for Reliability by : Maxim Finkelstein

Download or read book Stochastic Modeling for Reliability written by Maxim Finkelstein and published by Springer Science & Business Media. This book was released on 2013-04-12 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Stress-strength Model and Its Generalizations

Author: Samuel Kotz

Publisher: World Scientific

Published: 2003

Total Pages: 276

ISBN-13: 9789812564511

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This important book presents developments in a remarkable field ofinquiry in statistical/probability theory the stressOCostrengthmodel.Many papers in the field include the enigmatic words"P"("X"Y") or something similar in thetitle."

Book Synopsis The Stress-strength Model and Its Generalizations by : Samuel Kotz

Stochastic Models in Reliability Engineering

Author: Lirong Cui

Publisher: CRC Press

Published: 2020-09-01

Total Pages: 376

ISBN-13: 1000094618

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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.

Book Synopsis Stochastic Models in Reliability Engineering by : Lirong Cui

Download or read book Stochastic Models in Reliability Engineering written by Lirong Cui and published by CRC Press. This book was released on 2020-09-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Progressive Censoring

Author: N. Balakrishnan

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 255

ISBN-13: 1461213347

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This new book offers a guide to the theory and methods of progressive censoring. In many industrial experiments involving lifetimes of machines or units, experiments have to be terminated early. Progressive Censoring first introduces progressive sampling foundations, and then discusses various properties of progressive samples. The book points out the greater efficiency gained by using this scheme instead of classical right-censoring methods.

Book Synopsis Progressive Censoring by : N. Balakrishnan

Download or read book Progressive Censoring written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book offers a guide to the theory and methods of progressive censoring. In many industrial experiments involving lifetimes of machines or units, experiments have to be terminated early. Progressive Censoring first introduces progressive sampling foundations, and then discusses various properties of progressive samples. The book points out the greater efficiency gained by using this scheme instead of classical right-censoring methods.

Reliability Theory and Models

Author: Mohamed Abdel-Hameed

Publisher: Academic Press

Published: 2012-12-02

Total Pages: 318

ISBN-13: 0323140653

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Reliability Theory and Models: Stochastic Failure Models, Optimal Maintenance Policies, Life Testing, and Structures contains the proceedings of a Symposium on Stochastic Failure Models, Replacement and Maintenance Policies, and Accelerated Life Testing, held in Charlotte, North Carolina, on June 24-26, 1983. Contributors discuss the directions for research on stochastic failure models and maintenance and replacement policies, as well as statistical and computational aspects of reliability. This text is divided into five sections and is comprised of 17 chapters; the first of which introduces the reader to Markov and semi-Markov models of deterioration in light of the results on representation and characterization of Markov processes. The discussion then turns to the concept of minimal repair; situations in which the appropriate stochastic process is a damage or wear process; and optimum policies for several maintenance models based on the imperfect repair model of Brown and Proschan. The chapters that follow explore optimal replacement for self-repairing shock models; the implementation of an iterative scheme for certain Markovian wear/damage models; and a Markov decision model for determining the optimal inventories of repairable spare parts for redundant systems. This book also considers the reliability and maintenance of very large complex systems from the perspective of the U.S. Air Force. This reference material will be of interest to students and active researchers in the fields of mathematics and engineering.

Book Synopsis Reliability Theory and Models by : Mohamed Abdel-Hameed

Download or read book Reliability Theory and Models written by Mohamed Abdel-Hameed and published by Academic Press. This book was released on 2012-12-02 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reliability Theory and Models: Stochastic Failure Models, Optimal Maintenance Policies, Life Testing, and Structures contains the proceedings of a Symposium on Stochastic Failure Models, Replacement and Maintenance Policies, and Accelerated Life Testing, held in Charlotte, North Carolina, on June 24-26, 1983. Contributors discuss the directions for research on stochastic failure models and maintenance and replacement policies, as well as statistical and computational aspects of reliability. This text is divided into five sections and is comprised of 17 chapters; the first of which introduces the reader to Markov and semi-Markov models of deterioration in light of the results on representation and characterization of Markov processes. The discussion then turns to the concept of minimal repair; situations in which the appropriate stochastic process is a damage or wear process; and optimum policies for several maintenance models based on the imperfect repair model of Brown and Proschan. The chapters that follow explore optimal replacement for self-repairing shock models; the implementation of an iterative scheme for certain Markovian wear/damage models; and a Markov decision model for determining the optimal inventories of repairable spare parts for redundant systems. This book also considers the reliability and maintenance of very large complex systems from the perspective of the U.S. Air Force. This reference material will be of interest to students and active researchers in the fields of mathematics and engineering.

Frontiers in Reliability

Author: Asit P. Basu

Publisher: World Scientific

Published: 1998

Total Pages: 512

ISBN-13: 9789810233600

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This volume presents recent results in reliability theory by leading experts in the world. It will prove valuable for researchers, and users of reliability theory. It consists of refereed invited papers on a broad spectrum of topics in reliability. The subjects covered include Bayesian reliability, Bayesian reliability modeling, confounding in a series system, DF tests, Edgeworth approximation to reliability, estimation under random censoring, fault tree reduction for reliability, inference about changes in hazard rates, information theory and reliability, mixture experiment, mixture of Weibull distributions, queuing network approach in reliability theory, reliability estimation, reliability modeling, repairable systems, residual life function, software spare allocation systems, stochastic comparisons, stress-strength models, system-based component test plans, and TTT-transform.

Book Synopsis Frontiers in Reliability by : Asit P. Basu

Download or read book Frontiers in Reliability written by Asit P. Basu and published by World Scientific. This book was released on 1998 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents recent results in reliability theory by leading experts in the world. It will prove valuable for researchers, and users of reliability theory. It consists of refereed invited papers on a broad spectrum of topics in reliability. The subjects covered include Bayesian reliability, Bayesian reliability modeling, confounding in a series system, DF tests, Edgeworth approximation to reliability, estimation under random censoring, fault tree reduction for reliability, inference about changes in hazard rates, information theory and reliability, mixture experiment, mixture of Weibull distributions, queuing network approach in reliability theory, reliability estimation, reliability modeling, repairable systems, residual life function, software spare allocation systems, stochastic comparisons, stress-strength models, system-based component test plans, and TTT-transform.

An Introduction to Stochastic Modeling

Author: Howard M. Taylor

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 410

ISBN-13: 1483269272

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An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.

Book Synopsis An Introduction to Stochastic Modeling by : Howard M. Taylor

Download or read book An Introduction to Stochastic Modeling written by Howard M. Taylor and published by Academic Press. This book was released on 2014-05-10 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.

Mathematical Methods in Survival Analysis, Reliability and Quality of Life

Author: Catherine Huber

Publisher: John Wiley & Sons

Published: 2013-03-01

Total Pages: 294

ISBN-13: 1118624114

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Reliability and survival analysis are important applications of stochastic mathematics (probability, statistics and stochastic processes) that are usually covered separately in spite of the similarity of the involved mathematical theory. This title aims to redress this situation: it includes 21 chapters divided into four parts: Survival analysis, Reliability, Quality of life, and Related topics. Many of these chapters were presented at the European Seminar on Mathematical Methods for Survival Analysis, Reliability and Quality of Life in 2006.

Book Synopsis Mathematical Methods in Survival Analysis, Reliability and Quality of Life by : Catherine Huber

Download or read book Mathematical Methods in Survival Analysis, Reliability and Quality of Life written by Catherine Huber and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reliability and survival analysis are important applications of stochastic mathematics (probability, statistics and stochastic processes) that are usually covered separately in spite of the similarity of the involved mathematical theory. This title aims to redress this situation: it includes 21 chapters divided into four parts: Survival analysis, Reliability, Quality of life, and Related topics. Many of these chapters were presented at the European Seminar on Mathematical Methods for Survival Analysis, Reliability and Quality of Life in 2006.