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)
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1 Introduction
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3.5 Phased‐Mission System

Phased‐mission systems (PMSs) involve multiple, consecutive, and nonoverlapping phases of operations during the mission (Section 2.3.3). Based on the mini‐component concept (Section 3.5.1), this section presents an extension of the SEA method, called PMS SEA to consider effects of ELC in the reliability analysis of nonrepairable PMSs (Section 3.5.2).

3.5.1 Mini‐Component Concept

Esary and Ziehms introduced the mini‐component concept in 1975 for handling s‐dependence across phases for a given component in the PMS [24]. The concept is to replace a component in each phase of the PMS with a series of s‐independent mini‐components. Specifically, a component A in phase i is replaced by a series of mini‐components a1, a2, …, ai performing s‐independently with logic relation of Ai = a1a2…ai, meaning that A is functioning in phase i (i.e. Ai = 1) if and only if (iff) this component...