System reliability theory. Models, Statistical Methods, and Applications

Title page
Preface to the Second Edition
Preface to the First Edition
Acknowledgments
1. Introduction
1.1 A Brief History
1.2 Different Approaches to Reliability Analysis
1.3 Scope of the Text
1.4 Basic Concepts
1.5 Application Areas
1.6 Models and Uncertainties
1.7 Standards and Guidelines
2. Failure Models
2.1 Introduction
2.2 State Variable
2.3 Time to Failure
2.4 Reliability Function
2.5 Failure Rate Function
2.6 Mean Time to Failure
2.7 Mean Residual Life
2.8 The Binomial and Geometrie Distributions
2.9 The Exponential Distribution
2.10 The Homogeneous Poisson Process
2.11 The Gamma Distribution
2.12 The Weibull Distribution
2.13 The Normal Distribution
2.14 The Lognormal Distribution
2.15 The Birnbaum-Saunders Distribution
2.16 The Inverse Gaussian Distribution
2.17 The Extreme Value Distributions
2.18 Stressor-Dependent Modeling
2.19 Some Families of Distributions
2.20 Summary of Failure Models
Problems
3. Qualitative System Analysis
3.1 Introduction
3.2 Systems and Interfaces
3.3 Functional Analysis
3.4 Failures and Failure Classification
3.5 Failure Modes, Effects, and Criticality Analysis
3.6 Fault Tree Analysis
3.7 Cause and Effect Diagrams
3.8 Bayesian Belief Networks
3.9 Event Tree Analysis
3.10 Reliability Block Diagrams
3.11 System Structure Analysis
Problems
4. Systems of Independent Components
4.1 Introduction
4.2 System Reliability
4.3 Nonrepairable Systems
4.4 Quantitative Fault Tree Analysis
4.5 Exact System Reliability
4.6 Redundancy
Problems
5. Component Importance
5.1 Introduction
5.2 Birnbaum's Measure
5.3 Improvement Potential
5.4 Risk Achievement Worth
5.5 Risk Reduction Worth
5.6 Criticality Importance
5.7 Fussell-Vesely's Measure
5.8 Examples
Problems
6. Dependent Failures
6.1 Introduction
6.2 How to Obtain Reliable Systems
6.3 Modeling of Dependent Failures
6.4 Special Models
6.5 Associated Variables
Problems
7. Counting Processes
7.1 Introduction
7.2 Homogeneous Poisson Processes
7.3 Renewal Processes
7.4 Nonhomogeneous Poisson Processes
7.5 Imperfect Repair Processes
7.6 Model Selection
Problems
8. Markov Processes
8.1 Introduction
8.2 Markov Processes
8.3 Asymptotic Solution
8.4 Paralle1 and Series Structures
8.5 Mean Time to First System Failure
8.6 Systems with Dependent Components
8.7 Standby Systems
8.8 Complex Systems
8.9 Time-Dependent Solution
8.10 Semi-Markov Processes
Problems
9. Reliability of Maintained Systems
9.1 Introduction
9.2 Types of Maintenance
9.3 Downtime and Downtime Distributions
9.4 Availability
9.5 System Availability Assessment
9.6 Preventive Maintenance Policies
9.7 Maintenance Optimization
Problems
10. Reliability of Safety Systems
10.1 Introduction
10.2 Safety Instrumented Systems
10.3 Probability of Failure on Demand
10.4 Safety Unavailability
10.5 Common Cause Failures
10.6 IEC 61508
10.7 The PDS Approach
10.8 Markov Approach
Problems
11. Life Data Analysis
11.1 Introduction
11.2 Complete and Censored Data Sets
11.3 Nonparametric Methods
11.4 Parametric Methods
11.5 Model Selection
Problems
12. Accelerated Life Testing
12.1 Introduction
12.2 Experimental Designs for ALT
12.3 Parametric Models Used in ALT
12.4 Nonparametric Models Used in ALT
Problems
13. Bayesian Reliability Analysis
13.1 Introduction
13.2 Basic Concepts
13.3 Bayesian Point Estimation
13.4 Credibility Interval
13.5 Choice of Prior Distribution
13.6 Bayesian Life Test Sampling Plans
13.7 Interpretation of the Prior Distribution
13.8 The Predictive Density
Problems
14. Reliability Data Sources
14.1 Introduction
14.2 Types of Reliability Databases
14.3 Generic Reliability Databases
14.4 Data Analysis and Data Quality
Appendix A. The Gamma and Beta Functions
A.l The Gamma Fonction
A.2 The Beta Fonction
Appendix B. Laplace Transforms
Appendix C. Kronecker Products
Appendix E. Maximum Likelihood Estimation
Appendix F. Statistical Tables
Acronyms
Glossary
References
Author Index
Subject Index