Dynamic System Reliability

Offers timely and comprehensive coverage of dynamic system reliability theory

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 modelling 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.

Dynamic System Reliability: Modelling and Analysis of Dynamic and Dependent Behaviors 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 contents of other chapters which cover advanced topics in reliability theory and case studies.

• The first book systematically focusing on dynamic system reliability modelling and analysis theory

• Provides a comprehensive treatment on imperfect fault coverage (single-level/multi-level or modular), function dependence, common cause failures (deterministic and probabilistic), competing failures (deterministic and probabilistic), and dynamic standby sparing

• Includes abundant illustrative examples and case studies based on real-world systems

• Covers recent advances in combinatorial models and algorithms for dynamic system reliability analysis

• Offers a rich set of references, providing helpful resources for readers to pursue further research and study of the topics

Dynamic System Reliability: Modelling and Analysis of Dynamic and Dependent Behaviors is an excellent book for undergraduate and graduate students, and engineers and researchers in reliability and related disciplines.

Autorentext

Liudong Xing, PhD, is a Full Professor in the Department of Electrical and Computer Engineering at University of Massachusetts (UMass) Dartmouth, USA.

Gregory Levitin, PhD, is a senior expert in the Reliability Department at The Israel Electric Corporation, Israel, and a distinguished visiting professor at University of Electronic Science and Technology of China.

Chaonan Wang, PhD, is a Full Professor at the College of Information Science and Technology at Jinan University, Guangzhou, China.

Klappentext

Offers Timely and Comprehensive Coverage of Dynamic System Reliability Theory This book focuses on hot issues in 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. Dynamic System Reliability: Modeling and Analysis of Dynamic and Dependent Behaviors 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 contents of other chapters which cover advanced topics in reliability theory and case studies.

• The first book systematically focusing on dynamic system reliability modeling and analysis theory
• Provides a comprehensive treatment on imperfect fault coverage (single-level/ multi-level or modular), function dependence, common cause failures (deterministic and probabilistic), competing failures (deterministic and probabilistic), and dynamic standby sparing
• Includes abundant illustrative examples and case studies based on real-world systems
• Covers recent advances in combinatorial models and algorithms for dynamic system reliability analysis
• Offers a rich set of references, providing helpful resources for readers to pursue further research and study of the topics Dynamic System Reliability: Modeling and Analysis of Dynamic and Dependent Behaviors is an excellent book for undergraduate and graduate students, engineers and researchers in reliability and related disciplines.

Inhalt
Foreword ix

Preface xi

Nomenclature xv

1 Introduction 1

References 4

2 Fundamental Reliability Theory 7

2.1 Basic Probability Concepts 7

2.1.1 Axioms of Probability 7

2.1.2 Conditional Probability 7

2.1.3 Total Probability Law 8

2.1.4 Bayes' Theorem 9

2.1.5 Random Variables 9

2.2 Reliability Measures 10

2.2.1 Time to Failure 11

2.2.2 Failure Function 11

2.2.3 Reliability Function 11

2.2.4 Failure Rate 11

2.2.5 Mean Time to Failure 11

2.2.6 Mean Residual Life 12

2.3 Fault Tree Modeling 12

2.3.1 Static Fault Tree 13

2.3.2 Dynamic Fault Tree 13

2.3.3 Phased-Mission Fault Tree 14

2.3.4 Multi-State Fault Tree 15

2.4 Binary Decision Diagram 16

2.4.1 Basic Concept 17

2.4.2 ROBDD Generation 17

2.4.3 ROBDD Evaluation 18

2.4.4 Illustrative Example 19

2.5 Markov Process 20

2.6 Reliability Software 22

References 22

3 Imperfect Fault Coverage 27

3.1 Different Types of IPC 27

3.2 ELC Modeling 28

3.3 Binary-State System 29

3.3.1 BDD Expansion Method 29

3.3.2 Simple and Efficient Algorithm 32

3.4 Multi-State System 34

3.4.1 MMDD-Based Method for MSS Analysis 35

3.4.2 Illustrative Example 36

3.5 Phased-Mission System 37

3.5.1 Mini-Component Concept 37

3.5.2 PMS SEA 38

3.5.3 PMS BDD Method 40

3.5.4 Summary of PMS SEA 42

3.5.5 Illustrative Example 42

3.6 Summary 43

References 45

4 Modular Imperfect Coverage 49

4.1 Modular Imperfect Coverage Model 49

4.2 Non repairable Hierarchical System 51

4.3 Repairable Hierarchical System 55

4.4 Summary 58

References 58

5 Functional Dependence 61

5.1 Logic OR Replacement Method 61

5.2 Combinatorial Algorithm 63

5.2.1 Task 1: Addressing UFs of Independent Trigger Components 63

5.2.2 Task 2: Generating Reduced Problems Without FDEP 63

5.2.3 Task 3: Solving Reduced Reliability Problems 64

5.2.3.1 Expansion Process 64

5.2.3.2 Reduced FT Generation Procedure 65

5.2.3.3 Dual Trigger-Basic Event Handling 65

5.2.3.4 Evaluation of P(system fails|ITEi) 65

5.2.4 Task 4: Integrating to Obtain Final System Unreliability 66

5.2.5 Algorithm Summary 66

5.2.6 Algorithm Complexity 66

5.3 Case Study 1: Combined Trigger Event 67

5.4 Case Study 2: Shared Dependent Event 70

5.5 Case Study 3: Cascading FDEP 73

5.5.1 Evaluation of P(system fails|ITE1) 74

5.5.2 Evaluation of P(system fails|ITE2) 75

5.5.3 Evaluation of URsystem 76

5.6 Case Study 4: Dual Event and Cascading FDEP 76

5.6.1 Evaluation of P(system fails|ITE1) 7…