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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6.2 Efficient Decomposition and Aggregation Approach

Different from the explicit method where the system model is developed with the consideration of contributions from CCs, in the implicit method, the system model and reliability expression are developed without considering CCFs. However, special treatments must be performed to include the contributions of CCs in the expression evaluation [ 2 , 13 ,15]. This section introduces such an implicit method called the EDA approach. Based on the “divide and conquer” principle, the basic idea of the EDA method is to decompose an original reliability problem with CCFs into a number of reduced reliability problems without CCFs according to the total probability theorem [16,17].

6.2.1 Three‐Step Method

The EDA method can be applied in three steps:

  • Step 1: Construct common‐cause event (CCE) space. Assume m CCs exist in the system. The m CCs form 2m disjoint combinations, each called a CCE:
    6.1equation CCE 0 = CC 1 ...