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
End User License Agreement

10.3 Decision Diagram−Based Method

The Markov‐based method typically requires exponential time to failure (ttf) distribution for the system components [34]. In this section, combinatorial methods based on sequential binary decision diagrams (SBDDs) are presented for reliability analysis of cold and warm standby systems, which are applicable to any arbitrary ttf distributions. Refer to [ 34 37] for other decision diagram−based methods for considering effects of imperfect fault coverage or backups in the reliability analysis of standby systems.

10.3.1 Cold Standby System

The SBDD‐based combinatorial method for reliability analysis of cold standby systems involves a three‐step process [19] : system DFT conversion, system SBDD generation, and system SBDD evaluation, which are presented as follows:

  • Step 1: System DFT conversion

In this step, CSP gates in the system DFT model are replaced with sequential events. Specifically, each CSP gate, e.g...