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

10.1 Types of Standby Systems

Based on the number of components required to be online and functioning for the system operation, standby sparing systems with n components can be classified into 1‐out‐of‐n: G and k‐out‐of‐n: G systems. In a k‐out‐of‐n: G standby system, kn components are functioning with the remaining components waiting in the standby mode [14,15]. A 1‐out‐of‐n: G standby system is a special case of k‐out‐of‐n: G systems with k = 1.

Based on failure characteristics and standby cost associated with standby components, standby sparing systems can be classified into three types: hot, cold, and warm [1618]. A hot standby component operates concurrently with the online active component [1] ; it undergoes the same operational environment and stresses, thus has the same failure rate as the online working component does. The hot standby component is ready...