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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5.2 Combinatorial Algorithm

The combinatorial approach aims to successfully “turn off” the disconnected or isolated dependent components (when the corresponding trigger component fails or becomes unavailable) so that they could not contribute to the system UF probability. The approach involves four tasks that, respectively, address UFs of independent trigger components of FDEP, transform the system with FDEP into subsystems without FDEPs, evaluate resultant subsystems, and integrate for the final system unreliability.

5.2.1 Task 1: Addressing UFs of Independent Trigger Components

Based on the simple and efficient algorithm (SEA) (Section 3.3.2), particularly (3.4), the system unreliability is evaluated as:

(5.1)equation UR system t = 1 P u , IT t + P u , IT t · Q t . --

Pu,IT(t) in 5.1 is the probability that no independent trigger components undergo UFs, and Q(t) is the conditional system unreliability given that no independent trigger components...