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Mathematics for Reliability Engineering

Mathematics for Reliability Engineering
Author: Mangey Ram
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 253
Release: 2021-11-22
Genre: Technology & Engineering
ISBN: 3110725630

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"Reliability is a fundamental criterium in engineering systems. This book shows innovative concepts and applications of mathematics in solving reliability problems. The contents address in particular the interaction between engineers and mathematicians, as well as the cross-fertilization of science and technology. It bridges the gap between theory and practice to aid in practical problem-solving in various contexts."--Publisher


Mathematical Theory of Reliability

Mathematical Theory of Reliability
Author: Richard E. Barlow
Publisher: SIAM
Total Pages: 271
Release: 1996-01-01
Genre: Technology & Engineering
ISBN: 0898713692

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This monograph presents a survey of mathematical models useful in solving reliability problems. It includes a detailed discussion of life distributions corresponding to wearout and their use in determining maintenance policies, and covers important topics such as the theory of increasing (decreasing) failure rate distributions, optimum maintenance policies, and the theory of coherent systems. The emphasis throughout the book is on making minimal assumptions - and only those based on plausible physical considerations - so that the resulting mathematical deductions may be safely made about a large variety of commonly occurring reliability situations. The first part of the book is concerned with component reliability, while the second part covers system reliability, including problems that are as important today as they were in the 1960s. The enduring relevance of the subject of reliability and the continuing demand for a graduate-level book on this topic are the driving forces behind its re-publication.


Reliability and Safety Engineering

Reliability and Safety Engineering
Author: Ajit Kumar Verma
Publisher: Springer
Total Pages: 571
Release: 2015-09-28
Genre: Technology & Engineering
ISBN: 1447162692

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Reliability and safety are core issues that must be addressed throughout the life cycle of engineering systems. Reliability and Safety Engineering presents an overview of the basic concepts, together with simple and practical illustrations. The authors present reliability terminology in various engineering fields, viz., electronics engineering, software engineering, mechanical engineering, structural engineering and power systems engineering. The book describes the latest applications in the area of probabilistic safety assessment, such as technical specification optimization, risk monitoring and risk informed in-service inspection. Reliability and safety studies must, inevitably, deal with uncertainty, so the book includes uncertainty propagation methods: Monte Carlo simulation, fuzzy arithmetic, Dempster-Shafer theory and probability bounds. Reliability and Safety Engineering also highlights advances in system reliability and safety assessment including dynamic system modeling and uncertainty management. Case studies from typical nuclear power plants as well as from structural, software and electronic systems are also discussed. Reliability and Safety Engineering combines discussions of the existing literature on basic concepts and applications with state-of-the-art methods used in reliability and risk assessment of engineering systems. It is designed to assist practicing engineers, students and researchers in the areas of reliability engineering and risk analysis.


Reliability Theory and Practice

Reliability Theory and Practice
Author: Igor Bazovsky
Publisher: Courier Corporation
Total Pages: 322
Release: 2013-04-15
Genre: Mathematics
ISBN: 0486317633

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Written by a pioneer of reliability methods, this text applies statistical mathematics to analysis of electrical, mechanical, and other systems employed in airborne, missile, and ground equipment. 1961 edition.


Mathematical and Statistical Models and Methods in Reliability

Mathematical and Statistical Models and Methods in Reliability
Author: V.V. Rykov
Publisher: Springer Science & Business Media
Total Pages: 465
Release: 2010-11-02
Genre: Technology & Engineering
ISBN: 0817649719

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The book is a selection of invited chapters, all of which deal with various aspects of mathematical and statistical models and methods in reliability. Written by renowned experts in the field of reliability, the contributions cover a wide range of applications, reflecting recent developments in areas such as survival analysis, aging, lifetime data analysis, artificial intelligence, medicine, carcinogenesis studies, nuclear power, financial modeling, aircraft engineering, quality control, and transportation. Mathematical and Statistical Models and Methods in Reliability is an excellent reference text for researchers and practitioners in applied probability and statistics, industrial statistics, engineering, medicine, finance, transportation, the oil and gas industry, and artificial intelligence.


Reliability Physics and Engineering

Reliability Physics and Engineering
Author: J. W. McPherson
Publisher: Springer Science & Business Media
Total Pages: 406
Release: 2013-06-03
Genre: Technology & Engineering
ISBN: 3319001221

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"Reliability Physics and Engineering" provides critically important information for designing and building reliable cost-effective products. The textbook contains numerous example problems with solutions. Included at the end of each chapter are exercise problems and answers. "Reliability Physics and Engineering" is a useful resource for students, engineers, and materials scientists.


Recent Advances in Multi-state Systems Reliability

Recent Advances in Multi-state Systems Reliability
Author: Anatoly Lisnianski
Publisher: Springer
Total Pages: 373
Release: 2017-08-12
Genre: Technology & Engineering
ISBN: 3319634232

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This book addresses a modern topic in reliability: multi-state and continuous-state system reliability, which has been intensively developed in recent years. It offers an up-to-date overview of the latest developments in reliability theory for multi-state systems, engineering applications to a variety of technical problems, and case studies that will be of interest to reliability engineers and industrial managers. It also covers corresponding theoretical issues, as well as case studies illustrating the applications of the corresponding theoretical advances. The book is divided into two parts: Modern Mathematical Methods for Multi-state System Reliability Analysis (Part 1), and Applications and Case Studies (Part 2), which examines real-world multi-state systems. It will greatly benefit scientists and researchers working in reliability, as well as practitioners and managers with an interest in reliability and performability analysis. It can also be used as a textbook or as a supporting text for postgraduate courses in Industrial Engineering, Electrical Engineering, Mechanical Engineering, Applied Mathematics, and Operations Research.


Modern Dynamic Reliability Analysis for Multi-state Systems

Modern Dynamic Reliability Analysis for Multi-state Systems
Author: Anatoly Lisnianski
Publisher: Springer Nature
Total Pages: 195
Release: 2020-08-24
Genre: Technology & Engineering
ISBN: 3030524884

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This book discusses recent developments in dynamic reliability in multi-state systems (MSS), addressing such important issues as reliability and availability analysis of aging MSS, the impact of initial conditions on MSS reliability and availability, changing importance of components over time in MSS with aging components, and the determination of age-replacement policies. It also describes modifications of traditional methods, such as Markov processes with rewards, as well as a modern mathematical method based on the extended universal generating function technique, the Lz-transform, presenting various successful applications and demonstrating their use in real-world problems. This book provides theoretical insights, information on practical applications, and real-world case studies that are of interest to engineers and industrial managers as well as researchers. It also serves as a textbook or supporting text for graduate and postgraduate courses in industrial, electrical, and mechanical engineering.


Reliability Engineering

Reliability Engineering
Author: Mangey Ram
Publisher: CRC Press
Total Pages: 442
Release: 2019-10-14
Genre: Business & Economics
ISBN: 0429947623

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Over the last 50 years, the theory and the methods of reliability analysis have developed significantly. Therefore, it is very important to the reliability specialist to be informed of each reliability measure. This book will provide historical developments, current advancements, applications, numerous examples, and many case studies to bring the reader up-to-date with the advancements in this area. It covers reliability engineering in different branches, includes applications to reliability engineering practice, provides numerous examples to illustrate the theoretical results, and offers case studies along with real-world examples. This book is useful to engineering students, research scientist, and practitioners working in the field of reliability.


Mathematical and Statistical Methods in Reliability

Mathematical and Statistical Methods in Reliability
Author: Bo H Lindqvist
Publisher: World Scientific
Total Pages: 568
Release: 2003-10-10
Genre: Mathematics
ISBN: 9814486264

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This book contains extended versions of 34 carefully selected and reviewed papers presented at the Third International Conference on Mathematical Methods in Reliability, held in Trondheim, Norway in 2002. It provides a broad overview of current research activities in reliability theory and its applications. There are chapters on reliability modelling, network and system reliability, reliability optimization, survival analysis, degradation and maintenance modelling, and software reliability. The authors are all leading experts in the field. A particular feature of the book is a historical review by Professor Richard E Barlow, well known for his pioneering research on reliability. The list of authors also includes the plenary session speakers Odd O Aalen, Philip J Boland, Sallie A Keller-McNulty, and Nozer Singpurwalla. Contents:Reliability Theory in the Past and Present CenturiesGeneral Aspects of Reliability ModellingReliability of Networks and SystemsStochastic Modelling and Optimization in ReliabilityModelling in Survival and Reliability AnalysisStatistical Methods for Degradation DataStatistical Methods for Maintained SystemsStatistical Inference in Survival AnalysisSoftware Reliability Methods Readership: Graduate students, academics and professionals in probability & statistics, reliability analysis, survival analysis, industrial engineering, software engineering, operations research and applied mathematics research. Keywords:Applied Probability;Bayesian Analysis;Maintenance Modeling;Reliability Theory;Software Reliability;Statistical Inference;Survival Analysis