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
