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

8.6 Multi‐Phase System with Single FDEP Group

Previous sections focus on single‐phase systems. However, many real‐world systems are PMSs, involving multiple, consecutive, and nonoverlapping phases of operations or tasks. Consideration of competing failures in PMSs is a challenging task because PMSs exhibit dynamics in system configuration and component behavior, as well as statistical dependencies across phases for a given component.

This section presents a combinatorial method to address the competing failure effects in reliability analysis of nonrepairable binary‐state PMSs, where only one mission phase is subject to the FDEP behavior. As an example of such a PMS, a set of computers work together to accomplish an M‐phase mission task. In M − 1 of these phases, only local computing is needed (no FDEPs are involved), while in one of the phases, some computers need to access the Internet to access external data. Thus, in this particular...