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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10.6 Overview of Optimization Problems

While this chapter focuses on the reliability modeling and analysis of standby sparing systems, numerous research efforts have been made to optimize their performance [47]. A traditional optimization problem solved for standby sparing systems is the redundancy allocation problem (RAP). It determines the number of spares or redundancies to be allocated in a subsystem or system with the purpose of maximizing the entire system reliability while satisfying a certain cost constraint, or minimizing the system cost subject to a certain system reliability constraint [ 22 4856].

Recent works revealed that the component activation sequence in a standby sparing system with heterogeneous types of components can heavily affect the system performance metrics [20]. Therefore, a new type of optimization problems called optimal standby element sequencing problem (SESP) has been formulated and solved for different types of standby sparing systems, including...