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.
Preface
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Nomenclature
1 Introduction
2 Fundamental Reliability Theory
3 Imperfect Fault Coverage
4 Modular Imperfect Coverage
5 Functional Dependence
6 Deterministic Common‐Cause Failure
7 Probabilistic Common‐Cause Failure
9 Probabilistic Competing Failure
10 Dynamic Standby Sparing
Index
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7.2 Multi‐Phase System

The section presents explicit and implicit methods for reliability analysis of multi‐phase systems (also known as phased‐mission systems [PMSs]) subject to PCCFs caused by external shocks or factors. The PMS considered can be subject to more than one external CC happening in one phase or multiple different phases. Different CCs are s‐independent. The local failure event of a component and its failure event(s) caused by external CC(s) within each phase are also s‐independent.

Assume there are m phases and Li CCs (denoted by CCi1,,CCiLi--i. Thus, the total number of CCs occurring during the mission is L=i=1mLi--CCij constitute PCCGij (i ≤ m, j ≤ Li).

7.2.1 Explicit Method

Similar to the explicit method for single‐phase systems (Section 7.1.1 ), the explicit method for PMSs involves constructing and evaluating an expanded system model where each CC is modeled as a basic...