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

5.5 Case Study 3: Cascading FDEP

The cascading behavior occurs when the failure of one component in the system results in a chain reaction or domino effect [29]. Consider a hierarchical hub network where its nodes and hubs are organized into multiple levels. A node at lower levels can be accessible via multiple hubs of different levels. If the top‐level hub undergoes a failure, then all its child or grandchild hubs and nodes connected to these hubs become inaccessible in a cascading manner [30]. Cascading effects can be modeled using multiple cascading FDEP gates in the DFT model.

Figure 5.7 illustrates the DFT model of a system with a two‐stage domino chain behavior, modeled using two cascading FDEP gates. When event A occurs, both events B and E are forced to occur; consequently, event C also occurs due to the occurrence of event B. In this example system, event A is an ITE while event B is a dependent trigger event. Five sets of input parameters in Table 5.9 are considered...