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

7
Probabilistic Common‐Cause Failure

The occurrence of a probabilistic common‐cause failure (PCCF) can result in failures of multiple system components with different probabilities [1,2]. Consider a real‐world example of PCCFs, where multiple gas detectors are installed in a production room [3]. These gas detectors may be purchased from different companies and at different times, and thus can be resistant to different levels of humidity. The increased humidity in the production room may fail the gas detectors installed at different locations of the production room with different occurrence probabilities. The increased humidity serves as a shared root cause of the example PCCFs.

PCCFs can be caused by propagated failures originating from certain components within the system or by external shocks/factors such as malicious attacks and environmental conditions. This chapter presents explicit and implicit methods to analyze reliability of systems subject to internal or...