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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8.7 Multi‐Phase System with Multiple FDEP Groups

This section presents a continuous time Markov chain (CTMC)‐based method for modeling competing failure propagation and isolation effects in reliability analysis of PMSs with multiple FDEP groups [18]. The exponential ttf distribution is assumed for system components. The LF, PFGE, PFSE of the same component are s‐independent.

A trigger component failure in one phase, if occurring first, only makes dependent components belonging to the same FDEP group inaccessible in that phase; these dependent components are still available to use in other phases if they are accessible directly by the system function without involving the trigger component in those phases. Both PFGEs and PFSEs from the dependent component can be isolated by the trigger failure. An isolated PFGE or PFSE only affects the component itself. An isolated PFGE or PFSE in a previous phase may still propagate to other components in a later phase that does not...