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Mathematical Reliability: An Expository Perspective

Mathematical Reliability: An Expository Perspective
Author: R. Soyer
Publisher: Springer Science & Business Media
Total Pages: 340
Release: 2012-12-06
Genre: Mathematics
ISBN: 1441990216

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Consideration was given to more advanced theoretical approaches and novel applications of reliability to ensure that topics having a futuristic impact were specifically included. The entries have been categorized into seven parts, each emphasizing a theme that seems poised for the future development of reliability as an academic discipline with relevance. The topics, when linked with utility theory, constitute the science base of risk analysis.


Mathematical Theory of Reliability

Mathematical Theory of Reliability
Author: Richard E. Barlow
Publisher: SIAM
Total Pages: 273
Release: 1996-01-01
Genre: Technology & Engineering
ISBN: 9781611971194

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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. Mathematical reliability refers to a body of ideas, mathematical models, and methods directed toward the solution of problems in predicting, estimating, or optimizing the probability of survival, mean life, or, more generally, life distribution of components and systems. 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 republication. Unavailable since its original publication in 1965, Mathematical Theory of Reliability now joins a growing list of volumes in SIAM's Classics series. Although contemporary reliability books are now available, few provide as mathematically rigorous a treatment of the required probability background as this one.


Predictive Analytics in System Reliability

Predictive Analytics in System Reliability
Author: Vijay Kumar
Publisher: Springer Nature
Total Pages: 286
Release: 2022-09-08
Genre: Mathematics
ISBN: 3031053478

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This book provides engineers and researchers knowledge to help them in system reliability analysis using machine learning, artificial intelligence, big data, genetic algorithm, information theory, multi-criteria decision making, and other techniques. It will also be useful to students learning reliability engineering. The book brings readers up to date with how system reliability relates to the latest techniques of AI, big data, genetic algorithm, information theory, and multi-criteria decision making and points toward future developments in the subject.


Bayesian Inference and Computation in Reliability and Survival Analysis

Bayesian Inference and Computation in Reliability and Survival Analysis
Author: Yuhlong Lio
Publisher: Springer Nature
Total Pages: 367
Release: 2022-08-01
Genre: Mathematics
ISBN: 3030886581

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Bayesian analysis is one of the important tools for statistical modelling and inference. Bayesian frameworks and methods have been successfully applied to solve practical problems in reliability and survival analysis, which have a wide range of real world applications in medical and biological sciences, social and economic sciences, and engineering. In the past few decades, significant developments of Bayesian inference have been made by many researchers, and advancements in computational technology and computer performance has laid the groundwork for new opportunities in Bayesian computation for practitioners. Because these theoretical and technological developments introduce new questions and challenges, and increase the complexity of the Bayesian framework, this book brings together experts engaged in groundbreaking research on Bayesian inference and computation to discuss important issues, with emphasis on applications to reliability and survival analysis. Topics covered are timely and have the potential to influence the interacting worlds of biostatistics, engineering, medical sciences, statistics, and more. The included chapters present current methods, theories, and applications in the diverse area of biostatistical analysis. The volume as a whole serves as reference in driving quality global health research.


Recent Advances in System Reliability

Recent Advances in System Reliability
Author: Anatoly Lisnianski
Publisher: Springer Science & Business Media
Total Pages: 323
Release: 2011-10-01
Genre: Technology & Engineering
ISBN: 1447122070

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Recent Advances in System Reliability discusses developments in modern reliability theory such as signatures, multi-state systems and statistical inference. It describes the latest achievements in these fields, and covers the application of these achievements to reliability engineering practice. The chapters cover a wide range of new theoretical subjects and have been written by leading experts in reliability theory and its applications. The topics include: concepts and different definitions of signatures (D-spectra), their properties and applications to reliability of coherent systems and network-type structures; Lz-transform of Markov stochastic process and its application to multi-state system reliability analysis; methods for cost-reliability and cost-availability analysis of multi-state systems; optimal replacement and protection strategy; and statistical inference. Recent Advances in System Reliability presents many examples to illustrate the theoretical results. Real world multi-state systems, such as power generation and transmission, refrigeration, and production systems, are considered in the form of case studies, making the book a useful resource for researchers and postgraduate students.


System Signatures and their Applications in Engineering Reliability

System Signatures and their Applications in Engineering Reliability
Author: Francisco J. Samaniego
Publisher: Springer Science & Business Media
Total Pages: 160
Release: 2007-09-04
Genre: Technology & Engineering
ISBN: 0387717978

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Since the introduction of system signatures in Francisco Samaniego’s 1985 paper, the properties of this technical concept have been examined, tested and proven in a wide variety of systems applications. Based on the practical and research success in building reliability into systems with system signatures, this is the first book treatment of the approach. Its purpose is to provide guidance on how reliability problems might be structured, modeled and solved.


Reliability and Risk Modeling of Engineering Systems

Reliability and Risk Modeling of Engineering Systems
Author: Dilbagh Panchal
Publisher: Springer Nature
Total Pages: 165
Release: 2021-05-21
Genre: Technology & Engineering
ISBN: 3030701514

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This book addresses reliability, maintenance, risk, and safety issues of industrial systems with applications of the latest decision-making techniques. Thus, this book presents chapters that apply advanced tools, techniques, and computing models for optimizing the performance of industrial and manufacturing systems, along with other complex engineering equipment. Computing techniques like data analytics, failure mode and effects analysis, fuzzy set theory, petri-net, multi-criteria decision-making (MCDM), and soft computing are used for solving problems of reliability, risk, and safety related issues.


Introduction to System Reliability Theory

Introduction to System Reliability Theory
Author: Jorge Navarro
Publisher: Springer Nature
Total Pages: 181
Release: 2021-10-03
Genre: Mathematics
ISBN: 3030869539

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This textbook provides the tools for a modern post-graduate introductory course on system reliability theory. It focuses on probabilistic aspects of the theory, including recent results based on signatures, stochastic orders, aging classes, copulas and distortion (or aggregation) functions. The reader requires on an introductory knowledge on probability theory and mathematics. The book serves both for graduate students in mathematics and for engineering students in various disciplines as well as students learning survival analysis, network reliability or simple game theory. Included also are brief introductions to the basic aspects of lifetime modelling, stochastic comparisons, aging classes, mixtures and copula theory. The book develops this knowledge with worked examples and supplies code for the program R so that students can explore its lessons and techniques.


Advances in Statistics - Theory and Applications

Advances in Statistics - Theory and Applications
Author: Indranil Ghosh
Publisher: Springer Nature
Total Pages: 443
Release: 2021-04-01
Genre: Mathematics
ISBN: 3030629007

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This edited collection brings together internationally recognized experts in a range of areas of statistical science to honor the contributions of the distinguished statistician, Barry C. Arnold. A pioneering scholar and professor of statistics at the University of California, Riverside, Dr. Arnold has made exceptional advancements in different areas of probability, statistics, and biostatistics, especially in the areas of distribution theory, order statistics, and statistical inference. As a tribute to his work, this book presents novel developments in the field, as well as practical applications and potential future directions in research and industry. It will be of interest to graduate students and researchers in probability, statistics, and biostatistics, as well as practitioners and technicians in the social sciences, economics, engineering, and medical sciences.