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)
Preface
Free Chapter
1
Nomenclature
2
1 Introduction
12
Index
13
End User License Agreement

6.5 Summary

This chapter discusses the reliability modeling of deterministic CCFs, where the occurrence of a root cause results in deterministic failures of multiple system components simultaneously. Several different combinatorial approaches are presented. The explicit approach based on expanding the system reliability model is straightforward. However, it can become computationally inefficient for large‐scale systems. In addition, the explicit approach is only applicable to systems subject to s‐independent CCs. The implicit approaches (the EDA and DD‐based aggregation methods) require no expansion on the system reliability model and are flexible in handling the s‐relationship among CCs (which can be s‐independent, s‐dependent, or mutually exclusive). The UGF method presented provides a reliability evaluation solution for series‐parallel systems subject to CCFs that take random time to take effect. All of the approaches discussed in this...