Linked e-resources
Details
Table of Contents
Intro
Preface
Contents
1 Introduction
1.1 Philosophical Basis of Reliability Science
1.2 The Origin of Reliability Science
1.2.1 Axiom System, Product Theorem and Law of Large Numbers of Probability Theory
1.2.2 Milestones in Reliability Science
1.3 Reliability Science Methodology
1.3.1 Reliability Statistical Methodology
1.3.2 Reliability Physical Methodology
1.3.3 Reliability Logic Methodology
1.3.4 Reliability Design Methodology
1.4 Reliability Metrics Considering Epistemic Uncertainty
1.4.1 Epistemic Uncertainty: A Challenge of Reliability Science
1.4.2 Subjective Probability Reliability
1.4.3 Evidence Reliability
1.4.4 Interval Reliability
1.4.5 Fuzzy Reliability
1.4.6 Existing Problems
1.5 Theoretical Discourse of Reliability Science
1.5.1 Validity Criteria for Reliability Metrics
1.5.2 Principles of Reliability Science
1.6 Content and Structure of This Book
References
2 Theoretical Basis
2.1 Uncertainty Theory
2.1.1 Measurable Space
2.1.2 Uncertain Measure
2.1.3 Uncertain Variable
2.2 Chance Theory
2.2.1 Chance Measure
2.2.2 Uncertain Random Variable
References
3 Belief Reliability Metric
3.1 Definition of Belief Reliability
3.2 Connotation of Belief Reliability
3.3 Metric Framework of Belief Reliability
3.4 Index System of Belief Reliability
3.4.1 Belief Reliability Distribution
3.4.2 Belief Reliable Life
3.4.3 Mean Time to Failure
3.4.4 Variance of Failure Time
3.4.5 Relationships of the Indexes
3.5 Belief Reliability Distribution Determination Method
3.5.1 Maximum Entropy Model
3.5.2 Model Approximation
3.5.3 Model Verification
3.5.4 Sensitivity Analysis
References
4 Component Belief Reliability Modeling and Analysis
4.1 Model-Based Belief Reliability Analysis Methods
4.1.1 Performance Margin
4.1.2 Parameter and Model Uncertainty of Performance Margin
4.1.3 Analysis Process
4.2 Component Belief Reliability Modeling and Analysis Considering Parameter Uncertainty
4.2.1 Modeling and Analysis Methods
4.2.2 Case Study
4.3 Component Belief Reliability Modeling and Analysis Considering Parameter and Model Uncertainty
4.3.1 Modeling and Analysis Method
4.3.2 Evaluation Method of Epistemic Uncertainty Factor
4.3.3 Case Study
Preface
Contents
1 Introduction
1.1 Philosophical Basis of Reliability Science
1.2 The Origin of Reliability Science
1.2.1 Axiom System, Product Theorem and Law of Large Numbers of Probability Theory
1.2.2 Milestones in Reliability Science
1.3 Reliability Science Methodology
1.3.1 Reliability Statistical Methodology
1.3.2 Reliability Physical Methodology
1.3.3 Reliability Logic Methodology
1.3.4 Reliability Design Methodology
1.4 Reliability Metrics Considering Epistemic Uncertainty
1.4.1 Epistemic Uncertainty: A Challenge of Reliability Science
1.4.2 Subjective Probability Reliability
1.4.3 Evidence Reliability
1.4.4 Interval Reliability
1.4.5 Fuzzy Reliability
1.4.6 Existing Problems
1.5 Theoretical Discourse of Reliability Science
1.5.1 Validity Criteria for Reliability Metrics
1.5.2 Principles of Reliability Science
1.6 Content and Structure of This Book
References
2 Theoretical Basis
2.1 Uncertainty Theory
2.1.1 Measurable Space
2.1.2 Uncertain Measure
2.1.3 Uncertain Variable
2.2 Chance Theory
2.2.1 Chance Measure
2.2.2 Uncertain Random Variable
References
3 Belief Reliability Metric
3.1 Definition of Belief Reliability
3.2 Connotation of Belief Reliability
3.3 Metric Framework of Belief Reliability
3.4 Index System of Belief Reliability
3.4.1 Belief Reliability Distribution
3.4.2 Belief Reliable Life
3.4.3 Mean Time to Failure
3.4.4 Variance of Failure Time
3.4.5 Relationships of the Indexes
3.5 Belief Reliability Distribution Determination Method
3.5.1 Maximum Entropy Model
3.5.2 Model Approximation
3.5.3 Model Verification
3.5.4 Sensitivity Analysis
References
4 Component Belief Reliability Modeling and Analysis
4.1 Model-Based Belief Reliability Analysis Methods
4.1.1 Performance Margin
4.1.2 Parameter and Model Uncertainty of Performance Margin
4.1.3 Analysis Process
4.2 Component Belief Reliability Modeling and Analysis Considering Parameter Uncertainty
4.2.1 Modeling and Analysis Methods
4.2.2 Case Study
4.3 Component Belief Reliability Modeling and Analysis Considering Parameter and Model Uncertainty
4.3.1 Modeling and Analysis Method
4.3.2 Evaluation Method of Epistemic Uncertainty Factor
4.3.3 Case Study