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Informationen zum Autor IGOR USHAKOV, PhD, is Senior Consultant at Advanced Logistics Developments in Tel Aviv, Israel. He has published extensively in his areas of research interest, which include operations research, applied statistics, and probabilistic modeling. Dr. Ushakov is the author of Handbook of Reliability Engineering as well as the coauthor of Probabilistic Reliability Engineering and Statistical Reliability Engineering, all published by Wiley. Klappentext Practical Approaches to Reliability Theory in Cutting-Edge ApplicationsProbabilistic Reliability Models helps readers understand and properly use statistical methodsand optimal resource allocation to solve engineering problems.The author supplies engineers with a deeper understanding of mathematical models while alsoequipping mathematically oriented readers with a fundamental knowledge of the engineeringrelatedapplications at the center of model building. The book showcases the use of probabilitytheory and mathematical statistics to solve common, real-world reliability problems. Followingan introduction to the topic, subsequent chapters explore key systems and models including:* Unrecoverable objects and recoverable systems* Methods of direct enumeration* Markov models and heuristic models* Performance effectiveness* Time redundancy* System survivability* Aging units and their related systems* Multistate systemsDetailed case studies illustrate the relevance of the discussed methods to real-world technicalprojects including software failure avalanches, gas pipelines with underground storage, andintercontinental ballistic missile (ICBM) control systems. Numerical examples and detailedexplanations accompany each topic, and exercises throughout allow readers to test theircomprehension of the presented material.Probabilistic Reliability Models is an excellent book for statistics, engineering, and operationsresearch courses on applied probability at the upper-undergraduate and graduate levels. Thebook is also a valuable reference for professionals and researchers working in industry whowould like a mathematical review of reliability models and the relevant applications. Zusammenfassung Featuring practical approaches to various reliability theory applications, this book the first of three in a series helps readers to understand and properly utilize statistical methods and optimal resource allocation to solve everyday engineering problems. Inhaltsverzeichnis Preface xiii Acronyms and Notations xv 1 What Is Reliability? 1 1.1 Reliability as a Property of Technical Objects, 1 1.2 Other "Ilities", 2 1.3 Hierarchical Levels of Analyzed Objects, 5 1.4 How Can Reliability Be Measured?, 5 1.5 Software Reliability, 7 1.5.1 Case Study: Avalanche of Software Failures, 8 2 Unrecoverable Objects 9 2.1 Unit, 9 2.1.1 Probability of Failure-Free Operation, 9 2.1.2 Mean Time to Failure, 10 2.2 Series Systems, 11 2.2.1 Probability of Failure-Free Operation, 11 2.2.2 Mean Time to Failure, 13 2.3 Parallel System, 14 2.3.1 Probability of Failure-Free Operation, 14 2.3.2 Mean Time to Failure, 18 2.4 Structure of Type "k-out-of-n", 20 2.5 Realistic Models of Loaded Redundancy, 22 2.5.1 Unreliable Switching Process, 23 2.5.2 Non-Instant Switching, 23 2.5.3 Unreliable Switch, 24 2.5.4 Switch Serving as Interface, 25 2.5.5 Incomplete Monitoring of the Operating Unit, 26 2.5.6 Periodical Monitoring of the Operating Unit, 28 2.6 Reducible Structures, 28 2.6.1 Parallel-Series and Series-Parallel Structures, 28 2.6.2 General Case of Reducible Structures, 29 2.7 Standby Redundancy, 30 2.7.1 Simple Redundant Group, 30 2.7.2 Standby Redundancy of ...
