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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9.4 System with Random Failure Propagation Time

The methods presented in Sections 9.2 and 9.3 assume that any failure propagation originating from a system component instantaneously takes effect, which is often not true in real‐world cases [8]. In this section, a combinatorial method is presented for addressing random propagation time (PT) in the reliability analysis of single‐phase systems subject to the competing probabilistic failure isolation and failure propagation effects.

9.4.1 Combinatorial Method

The method involves a six‐step procedure described as follows:

  • Step 1: Separate effects of PFGEs from the trigger component. According to the PFGE approach (Section 8.2), the system unreliability is evaluated as
    (9.39)equation UR system t = 1 P u t + Q t · P u t , --

    where Pu(t) = P(no PFGEs from the trigger, e.g. R), imagesQt=PXSFt|XRpCt--t (denoted by XSF(t)) given that the trigger undergoes no PFGEs (denoted by imagesXRpCt-- evaluated through...