Book Image

Dynamic System Reliability

By : Liudong Xing, Gregory Levitin, Chaonan Wang
Book Image

Dynamic System Reliability

By: Liudong Xing, Gregory Levitin, Chaonan Wang

Overview of this book

This book focuses on hot issues of dynamic system reliability, systematically introducing the reliability modeling and analysis methods for systems with imperfect fault coverage, systems with function dependence, systems subject to deterministic or probabilistic common-cause failures, systems subject to deterministic or probabilistic competing failures, and dynamic standby sparing systems. It presents recent developments of such extensions involving reliability modeling theory, reliability evaluation methods, and features numerous case studies based on real-world examples. The presented dynamic reliability theory can enable a more accurate representation of actual complex system behavior, thus more effectively guiding the reliable design of real-world critical systems. The book begins by describing the evolution from the traditional static reliability theory to the dynamic system reliability theory and provides a detailed investigation of dynamic and dependent behaviors in subsequent chapters. Although written for those with a background in basic probability theory and stochastic processes, the book includes a chapter reviewing the fundamentals that readers need to know in order to understand the contents of other chapters that cover advanced topics in reliability theory and case studies.
Table of Contents (14 chapters)
Free Chapter
1 Introduction
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6.4 Universal Generating Function–Based Method

This section presents a universal generating function (u‐function) based approach for the reliability analysis of nonrepairable series‐parallel systems with CCFs caused by propagation of failures of system components. The failure propagation may have selective effects, meaning that CCFs originating from different components can cause failures of different subsets of system components [21]. Moreover, the failure propagation can take time to take effect. For example, infection, fire, or corrosion takes time to propagate; some component failures cause factors (e.g. overheating or humidity) that affect other components, but not immediately [22]. In this section, the failure propagation time is assumed to be a random value following a certain given distribution. The set of components that can generate CCFs and the set of components affected by the CCFs are disjoint. Also, any system component can be affected by at most one...