Reliability Engineering

CHAPTER 1 RELIABILITY AND HAZARD FUNCTIONS 1.1 Introduction 1.2 Reliability Definition and Estimation 1.3 Hazard Functions 1.4 Multi-Variate Hazard 1.5 Competing Risk Model and Mixture of Failure Rates 1.6 Discrete Probability Distributions 1.7 Mean Time to Failure 1.8 Mean Residual Life (MRL) 1.9 Time of First Failure Problems References CHAPTER 2 SYSTEM RELIABILITY EVALUATION 2.1 Introduction 2.2 Reliability Block Diagrams 2.3 Series Systems 2.4 Parallel Systems 2.5 Parallel-Series, Series-Parallel, and Mixed-Parallel Systems 2.6 Consecutive k-out-of-n:F Systems 2.7 Reliability of k-out-of-n Systems 2.8 Reliability of k-out-of-n Balanced Systems 2.9 Complex Reliability Systems 2.10 Special Networks 2.11 Multistate Models 2.12 Redundancy 2.13 Importance Measures of Components 2.14 Weighted Importance of Components Problems References CHAPTER 3 TIME - AND FAILURE-DEPENDENT RELIABILITY 3.1 Introduction 3.2 Non-Repairable Systems 3.3 Mean Time to Failure (MTTF) 3.4 Repairable Systems 3.5 Availability 3.6 Dependent Failures 3.7 Redundancy and Standby Problems References CHAPTER 4 ESTIMATION METHODS OF THE PARAMETERS 4.1 Introduction 4.2 Method of Moments 4.3 The Likelihood Function 4.4 Method of Least Squares 4.5 Bayesian Approach 4.6 Boot-Strap Method 4.7 Generation of Failure Time Data Problems References CHAPTER 5 PARAMETRIC RELIABILITY MODELS 5.1 Introduction 5.2 Approach 1: Historical Data 5.3 Approach 2: Operational Life Testing 5.4 Approach 3: Burn-In Testing 5.5 Approach 4: Accelerated Life Testing 5.6 Types of Censoring 5.7 The Exponential Distribution 5.8 The Rayleigh Distribution 5.9 The Weibull Distribution 5.10 The Lognormal Distribution 5.11 The Gamma Distribution 5.12 The Extreme Value Distribution 5.13 The Half-Logistic Distribution 5.14 The Frechet Distribution 5.15 The Birnbaum-Saunders Distribution 5.16 Linear Models 5.17 Multi-Censored Data Problems References CHAPTER 6 ACCELERATED LIFE TESTING 6.1 Introduction 6.2 Types of Reliability Testing 6.3 Accelerated Life Testing 6.4 ALT Methods 6.5 Statistics-Based Models: Non-Parametric 6.6 Physics-Statistics-Based Models 6.7 Physics-Experimental-Based Models 6.8 Degradation Models 6.9 Statistical Degradation Models 6.10 Accelerated Life Testing Plans Problems References Chapter 7 PHYSICS OF FAILURES 7.1 Introduction 7.2 Fault Tree Analysis 7.3 Failure Modes and Effects Analysis 7.4 Stress-Strength Relationship 7.5 PoF: Failure Time Models 7.6 PoF: Degradation Models Problems References Chapter 8 SYSTEM RESILIENCE 8.1 Introduction 8.2 Resilience Overview 8.3 Multi Hazard 8.4 Resilience Modeling 8.5 Resilience Definitions and Attributes 8.6 Resilience Quantifications 8.7 Importance Measures 8.8 Cascading Failures 8.9 Cyber Networks Problems References Chapter 9 RENEWAL PROCESSES AND EXPECTED NUMBER OF FAILURES 9.1 Introduction 9.2 Parametric Renewal Function Estimation 9.3 Non-Parametric Renewal Function Estimation 9.4 Alternating Renewal Process 9.5 Approximations of M(t) 9.6 Other Types of Renewal Processes 9.7 The Variance of the Number of Renewals 9.8 Confidence Intervals for the Renewal Function 9.9 Remaining Life at Time t 9.10 Poisson Processes 9.11 Laplace Transform and Random Variables Problems References Chapter 10 MAINTENANCE AND INSPECTION 10.1 Introduction 10.2 Preventive Maintenance and Replacement Models: Cost Minimization 10.3 Preventive Maintenance and Replacement Models: Downtime Minimization 10.4 Minimal Repair Models 10.5 Optimum Replacement Intervals for Systems Subject to Shocks 10.6 Preventive Maintenance and Number of Spares 10.7 Group Maintenance 10.8 Periodic Inspection 10.9 Condition Based Maintenance 10.10 On-Line Surveillance and Monitoring Problems References Chapter 11 WARRANTY MODELS 11.1 Introduction 11.2 Warranty Models for Non-Repairable Products 11.3 Warranty Models for Repairable Products 11.4 Two-Dimensional Warranty 11.5 Warranty Claims Problems References Chapter 12 CASE STUDIES Case 1: A Crane Spreader Subsystem Case 2: Design of a Production Line Case 3: An Explosive Detection System Case 4: Reliability of Furnace Tubes Case 5: Reliability of Smart Cards Case 6: Life Distribution of Survivors of Qualification and Certification Case 7: Reliability Modeling of Telecommunication Networks for the Air Traffic Control Center Case 8: System Design Using Reliability Objectives Case 9: Reliability Modeling of Hydraulic Fracture Pumps Case 10: Availability of Medical Information Technology System Case 11: Producer and Consumer Risk in System of Systems References APPENDICES APPENDIX A GAMMA TABLE APPENDIX B COMPUTER PROGRAM TO CALCULATE THE RELIABILITY OF A CONSECUTIVE-K-OUT-OF-N:F SYSTEM APPENDIX C OPTIMUM ARRANGEMENT OF COMPONENTS IN CONSECUTIVE-2-OUT-OF-N:F SYSTEMS APPENDIC D COMPUTER PROGRAM FOR SOLVING THE TIME-DEPENDENT EQUATIONS APPENDIX E THE NEWTON-RAPHSON METHOD APPENDIX F COEFFICIENTS OF FOR APPENDIX G VARIANCE OF 's IN TERMS OF AND APPENDIX I COEFFICIENTS AND OF THE BEST ESTIMATES OF THE MEAN ( ) AND STANDARD DEVIATION ( ) IN CENSORED SAMPLES UP TO n= 20 FROM A NORMAL POPULATION APPENDIX J BAKER'S ALGORITHM APPENDIX K STANDARD NORMAL DISTRIBUTION APPENDIX L CRITICAL VALUES OF APPENDIX M SOLUTIONS OF SELECTED PROBLEMS AUTHOR INDEX SUBJECT INDEX