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

5.4 Case Study 2: Shared Dependent Event

Figure 5.4 illustrates the DFT of an example system with dependent event C shared by two FDEP gates. Table 5.5 gives five sets of input component failure parameters and coverage factors. All the system components have exponential ttf distributions. The r factor is assumed to be ZERO for all the system components. Mission time of t = 10 000 hours is considered.

Dynamic fault tree of an example system with dependent event C shared by two FDEP gates and AND and OR gates.

Figure 5.4 Example system with shared dependent events.

Table 5.5 Input component failure parameters and coverage factors.

Set 1 Set 2 Set 3 Set 4 Set 5
λA 1e−5 1e−5 1e−5 1e−5 1e−5
λB,C,D,E 1e−5 1e−4 1e−4 1e−4 1e−4
cA 0.9 0.9 0.9 0.9 1
cB 0.9 0.9 0.5 0.9 1
cC 0.9 0.9 0.5 0.9 1
cD, cE 1 1 1 0.9 1

The ITE space contains four ITEs:

5.8equation ITE 1 = A ¯ E ¯ , ITE 2 = A ¯ E , ITE 3 = A E ¯ , ITE 4 ...