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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5.6 Case Study 4: Dual Event and Cascading FDEP

Consider an example of systems involving both cascading FDEP and dual trigger‐basic events in Figure 5.10. Specifically, T1 and T2 are dual events (trigger events for FDEP and basic events contributing to the two AND gates at the same time). All the system components fail exponentially with constant failure rates (/hour) λA = 2e − 5, λB = 1e − 5, λT1 = 1e − 4, and λT2 = 1e − 5. Five sets of coverage factors in Table 5.15 are considered. The r factor is assumed to be ZERO for all the system components. Mission time of t = 10 000 hours is used for the analysis.

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Figure 5.10 An example system containing cascading FDEP and dual events.

Table 5.15 Input component coverage factors.

Set 1 Set 2 Set 3 Set 4 Set 5
cA 0.9 0.9 0.9 0.95 1
cB 0.9 1 1 0.9 1
cT1 0.9 1 1 0.9 1
cT2 0.9 1 0.9 1 1

Applying the algorithm in Section...