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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8.5 Single‐Phase System with PFs Having Global and Selective Effects

A PF that originates from a system component causes extensive damages to the rest of the system. A PFGE occurs when the PF causes the entire system to fail. There also exist a propagated failure with selective effect (PFSE), which takes place when the PF causes failure of only a subset of system components. This section presents a combinatorial reliability analysis method for single‐phase systems subject to competing failures considering both global and selective propagation effects [14].

8.5.1 Combinatorial Method

The combinatorial reliability analysis method can be described as a seven‐step procedure:

  • Step 1: Define events representing states of the trigger component. Two disjoint events are defined:
    • E1: the trigger component is functioning correctly.
    • E2: the trigger component is failed.

    Based on the total probability law, the system unreliability is evaluated as

    (8.41)equation UR system = P system...