Dynamic System Reliability Modeling and Analysis of Dynamic and Dependent Behaviors

<p><b>Offers Timely and Comprehensive Coverage of Dynamic System Reliability Theory</b> <p>This book focuses on hot issues in dynamic system reliability, systematically introducing the reliability modeling and analysis methods for systems with...

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Bibliographic Details
Main Authors Xing, Liudong, Levitin, Gregory, Wang, Chaonan
Format eBook
LanguageEnglish
Published Newark Wiley 2019
John Wiley & Sons, Incorporated
Wiley-Blackwell
John Wiley & Sons (UK)
Edition1
SeriesQuality and Reliability Engineering Series
Subjects
Components, Circuits, Devices and Systems
Computing and Processing
Power, Energy and Industry Applications
Reliability (Engineering)
System analysis
reliability modelling theory
system reliability and dynamic behaviors
Dynamic System Reliability: Modelling and Analysis of Dynamic and Dependent Behaviors
standby sparing systems
common-cause failures
reliability modelling of complex systems
dynamic system reliability
understanding dynamic system reliability
dynamic system reliability fundamentals
system reliability engineering
dynamic system reliability analysis
system reliability analysis
competing failures
functional dependence
reliability engineering
reliability analysis of complex systems
guide to dynamic system reliability
dynamic system reliability theory
system reliability and dependent behaviors
imperfect fault coverage
dynamic system reliability for real-world complex systems
systems science
Online AccessGet full text
ISBN1119507634
9781119507635
1119507685
9781119507680
DOI10.1002/9781119507642

Cover

Table of Contents:
  • 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) 78 5.6.2 Evaluation of URsystem 79 5.7 Summary 79 References 80 6 Deterministic Common-Cause Failure 83 6.1 Explicit Method 84 6.1.1 Two-Step Method 84 6.1.2 Illustrative Example 84 6.2 Efficient Decomposition and Aggregation Approach 85 6.2.1 Three-Step Method 86 6.2.2 Illustrative Example 87 6.3 Decision Diagram–Based Aggregation Method 89 6.3.1 Three-Step Method 89 6.3.2 Illustrative Example 91 6.4 Universal Generating Function–Based Method 94 6.4.1 System Model 94 6.4.2 u-Function Method for Series-Parallel Systems 95 6.4.3 u-Function Method for CCFs 97 6.4.4 Illustrative Example 99 6.5 Summary 104 References 104 7 Probabilistic Common-Cause Failure 107 7.1 Single-Phase System 107 7.1.1 Explicit Method 108 7.1.2 Implicit Method 110 7.1.3 Comparisons and Discussions 115 7.2 Multi-Phase System 115 7.2.1 Explicit Method 115 7.2.2 Implicit Method 119 7.2.3 Comparisons and Discussions 123 7.3 Impact of PCCF 124 7.4 Summary 125 References 125 8 Deterministic Competing Failure 127 8.1 Overview 127 8.2 PFGE Method 128 8.2.1 s-Independent LF and PFGE 128 8.2.2 s-Dependent LF and PFGE 128 8.2.3 Disjoint LF and PFGE 129 8.3 Single-Phase System with Single FDEP Group 129 8.3.1 Combinatorial Method 129 8.3.2 Case Study 131 8.4 Single-Phase System with Multiple FDEP Groups 135 8.4.1 Combinatorial Method 135 8.4.2 Case Study 137 8.5 Single-Phase System with PFs Having Global and Selective Effects 141 8.5.1 Combinatorial Method 141 8.5.2 Case Study 144 8.6 Multi-Phase System with Single FDEP Group 150 8.6.1 Combinatorial Method 150 8.6.2 Case Study 153 8.7 Multi-Phase System with Multiple FDEP Groups 158 8.7.1 CTMC-Based Method 158 8.7.2 Case Study 159 8.8 Summary 166 References 167 9 Probabilistic Competing Failure 169 9.1 Overview 169 9.2 System with Single Type of Component Local Failures 170 9.2.1 Combinatorial Method 170 9.2.2 Case Study 172 9.3 System with Multiple Types of Component Local Failures 181 9.3.1 Combinatorial Method 181 9.3.2 Case Study 182 9.4 System with Random Failure Propagation Time 190 9.4.1 Combinatorial Method 190 9.4.2 Case Study: WSN System 192 9.5 Summary 198 References 199 10 Dynamic Standby Sparing 201 10.1 Types of Standby Systems 201 10.2 CTMC-Based Method 202 10.2.1 Cold Standby System 203 10.2.2 Warm Standby System 204 10.3 Decision Diagram−Based Method 205 10.3.1 Cold Standby System 205 10.3.2 Warm Standby System 208 10.4 Approximation Method 211 10.4.1 Homogeneous Cold Standby System 212 10.4.2 Heterogeneous Cold Standby System 214 10.5 Event Transition Method 216 10.5.1 State-Space Representation of System Behavior 217 10.5.2 Basic Steps 218 10.5.3 Warm Standby System 218 10.6 Overview of Optimization Problems 220 10.7 Summary 222 References 222 Index 229
  • 5.2.3.2 Reduced FT Generation Procedure -- 5.2.3.3 Dual Trigger‐Basic Event Handling -- 5.2.3.4 Evaluation of P(system fails|ITEi) -- 5.2.4 Task 4: Integrating to Obtain Final System Unreliability -- 5.2.5 Algorithm Summary -- 5.2.6 Algorithm Complexity -- 5.3 Case Study 1: Combined Trigger Event -- 5.4 Case Study 2: Shared Dependent Event -- 5.5 Case Study 3: Cascading FDEP -- 5.5.1 Evaluation of P(system fails|ITE1) -- 5.5.2 Evaluation of P(system fails|ITE2) -- 5.5.3 Evaluation of URsystem -- 5.6 Case Study 4: Dual Event and Cascading FDEP -- 5.6.1 Evaluation of P(system fails|ITE1) -- 5.6.2 Evaluation of URsystem -- 5.7 Summary -- References -- Chapter 6 Deterministic Common‐Cause Failure -- 6.1 Explicit Method -- 6.1.1 Two‐Step Method -- 6.1.2 Illustrative Example -- 6.2 Efficient Decomposition and Aggregation Approach -- 6.2.1 Three‐Step Method -- 6.2.2 Illustrative Example -- 6.3 Decision Diagram-Based Aggregation Method -- 6.3.1 Three‐Step Method -- 6.3.2 Illustrative Example -- 6.4 Universal Generating Function-Based Method -- 6.4.1 System Model -- 6.4.2 u‐Function Method for Series‐Parallel Systems -- 6.4.3 u‐Function Method for CCFs -- 6.4.4 Illustrative Example -- 6.5 Summary -- References -- Chapter 7 Probabilistic Common‐Cause Failure -- 7.1 Single‐Phase System -- 7.1.1 Explicit Method -- 7.1.2 Implicit Method -- 7.1.3 Comparisons and Discussions -- 7.2 Multi‐Phase System -- 7.2.1 Explicit Method -- 7.2.2 Implicit Method -- 7.2.3 Comparisons and Discussions -- 7.3 Impact of PCCF -- 7.4 Summary -- References -- Chapter 8 Deterministic Competing Failure -- 8.1 Overview -- 8.2 PFGE Method -- 8.2.1 s‐Independent LF and PFGE -- 8.2.2 s‐Dependent LF and PFGE -- 8.2.3 Disjoint LF and PFGE -- 8.3 Single‐Phase System with Single FDEP Group -- 8.3.1 Combinatorial Method -- 8.3.2 Case Study -- 8.4 Single‐Phase System with Multiple FDEP Groups
  • 8.4.1 Combinatorial Method -- 8.4.2 Case Study -- 8.5 Single‐Phase System with PFs Having Global and Selective Effects -- 8.5.1 Combinatorial Method -- 8.5.2 Case Study -- 8.6 Multi‐Phase System with Single FDEP Group -- 8.6.1 Combinatorial Method -- 8.6.2 Case Study -- 8.7 Multi‐Phase System with Multiple FDEP Groups -- 8.7.1 CTMC‐Based Method -- 8.7.2 Case Study -- 8.8 Summary -- References -- Chapter 9 Probabilistic Competing Failure -- 9.1 Overview -- 9.2 System with Single Type of Component Local Failures -- 9.2.1 Combinatorial Method -- 9.2.2 Case Study -- 9.3 System with Multiple Types of Component Local Failures -- 9.3.1 Combinatorial Method -- 9.3.2 Case Study -- 9.4 System with Random Failure Propagation Time -- 9.4.1 Combinatorial Method -- 9.4.2 Case Study: WSN System -- 9.5 Summary -- References -- Chapter 10 Dynamic Standby Sparing -- 10.1 Types of Standby Systems -- 10.2 CTMC‐Based Method -- 10.2.1 Cold Standby System -- 10.2.2 Warm Standby System -- 10.3 Decision Diagram−Based Method -- 10.3.1 Cold Standby System -- 10.3.2 Warm Standby System -- 10.4 Approximation Method -- 10.4.1 Homogeneous Cold Standby System -- 10.4.2 Heterogeneous Cold Standby System -- 10.5 Event Transition Method -- 10.5.1 State‐Space Representation of System Behavior -- 10.5.2 Basic Steps -- 10.5.3 Warm Standby System -- 10.6 Overview of Optimization Problems -- 10.7 Summary -- References -- Index -- EULA
  • Cover -- Title Page -- Copyright -- Contents -- Foreword -- Preface -- Nomenclature -- Chapter 1 Introduction -- References -- Chapter 2 Fundamental Reliability Theory -- 2.1 Basic Probability Concepts -- 2.1.1 Axioms of Probability -- 2.1.2 Conditional Probability -- 2.1.3 Total Probability Law -- 2.1.4 Bayes' Theorem -- 2.1.5 Random Variables -- 2.2 Reliability Measures -- 2.2.1 Time to Failure -- 2.2.2 Failure Function -- 2.2.3 Reliability Function -- 2.2.4 Failure Rate -- 2.2.5 Mean Time to Failure -- 2.2.6 Mean Residual Life -- 2.3 Fault Tree Modeling -- 2.3.1 Static Fault Tree -- 2.3.2 Dynamic Fault Tree -- 2.3.3 Phased‐Mission Fault Tree -- 2.3.4 Multi‐State Fault Tree -- 2.4 Binary Decision Diagram -- 2.4.1 Basic Concept -- 2.4.2 ROBDD Generation -- 2.4.3 ROBDD Evaluation -- 2.4.4 Illustrative Example -- 2.5 Markov Process -- 2.6 Reliability Software -- References -- Chapter 3 Imperfect Fault Coverage -- 3.1 Different Types of IPC -- 3.2 ELC Modeling -- 3.3 Binary‐State System -- 3.3.1 BDD Expansion Method -- 3.3.2 Simple and Efficient Algorithm -- 3.4 Multi‐State System -- 3.4.1 MMDD‐Based Method for MSS Analysis -- 3.4.2 Illustrative Example -- 3.5 Phased‐Mission System -- 3.5.1 Mini‐Component Concept -- 3.5.2 PMS SEA -- 3.5.3 PMS BDD Method -- 3.5.4 Summary of PMS SEA -- 3.5.5 Illustrative Example -- 3.6 Summary -- References -- Chapter 4 Modular Imperfect Coverage -- 4.1 Modular Imperfect Coverage Model -- 4.2 Nonrepairable Hierarchical System -- 4.3 Repairable Hierarchical System -- 4.4 Summary -- References -- Chapter 5 Functional Dependence -- 5.1 Logic OR Replacement Method -- 5.2 Combinatorial Algorithm -- 5.2.1 Task 1: Addressing UFs of Independent Trigger Components -- 5.2.2 Task 2: Generating Reduced Problems Without FDEP -- 5.2.3 Task 3: Solving Reduced Reliability Problems -- 5.2.3.1 Expansion Process