Reliability Engineering -- CONTENTS -- PREFACE -- PRELUDE -- CHAPTER 1: RELIABILITY AND HAZARD FUNCTIONS -- 1.1 INTRODUCTION -- 1.2 RELIABILITY DEFINITION AND ESTIMATION -- 1.3 HAZARD FUNCTIONS -- 1.4 MULTIVARIATE HAZARD RATE -- 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 SYSTEM -- 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 -- PROBLEMS -- REFERENCES -- CHAPTER 3: TIME- AND FAILURE-DEPENDENT RELIABILITY -- 3.1 INTRODUCTION -- 3.2 NONREPAIRABLE 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 OF FAILURE-TIME DISTRIBUTIONS -- 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 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 LOGNORMAL DISTRIBUTION.

5.11 THE GAMMA DISTRIBUTION -- 5.12 THE EXTREME VALUE DISTRIBUTION -- 5.13 THE HALF-LOGISTIC DISTRIBUTION -- 5.14 FRECHET DISTRIBUTION -- 5.15 BIRNBAUM-SAUNDERS DISTRIBUTION -- 5.16 LINEAR MODELS -- 5.17 MULTICENSORED DATA -- PROBLEMS -- REFERENCES -- CHAPTER 6: MODELS FOR ACCELERATED LIFE TESTING -- 6.1 INTRODUCTION -- 6.2 TYPES OF RELIABILITY TESTING -- 6.3 ACCELERATED LIFE TESTING -- 6.4 ALT MODELS -- 6.5 STATISTICS-BASED MODELS: NONPARAMETRIC -- 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: RENEWAL PROCESSES AND EXPECTED NUMBER OF FAILURES -- 7.1 INTRODUCTION -- 7.2 PARAMETRIC RENEWAL FUNCTION ESTIMATION -- 7.3 NONPARAMETRIC RENEWAL FUNCTION ESTIMATION -- 7.4 ALTERNATING RENEWAL PROCESS -- 7.5 APPROXIMATIONS OF M(t ) -- 7.6 OTHER TYPES OF RENEWAL PROCESSES -- 7.7 THE VARIANCE OF NUMBER OF RENEWALS -- 7.8 CONFIDENCE INTERVALS FOR THE RENEWAL FUNCTION -- 7.9 REMAINING LIFE AT TIME T -- 7.10 POISSON PROCESSES -- 7.11 LAPLACE TRANSFORM AND RANDOM VARIABLES -- PROBLEMS -- REFERENCES -- CHAPTER 8: PREVENTIVE MAINTENANCE AND INSPECTION -- 8.1 INTRODUCTION -- 8.2 PREVENTIVE MAINTENANCE AND REPLACEMENT MODELS: COST MINIMIZATION -- 8.3 PREVENTIVE MAINTENANCE AND REPLACEMENT MODELS: DOWNTIME MINIMIZATION -- 8.4 MINIMAL REPAIR MODELS -- 8.5 OPTIMUM REPLACEMENT INTERVALS FOR SYSTEMS SUBJECT TO SHOCKS -- 8.6 PREVENTIVE MAINTENANCE AND NUMBER OF SPARES -- 8.7 GROUP MAINTENANCE -- 8.8 PERIODIC INSPECTION -- 8.9 CONDITION-BASED MAINTENANCE -- 8.10 ONLINE SURVEILLANCE AND MONITORING -- PROBLEMS -- REFERENCES -- CHAPTER 9: WARRANTY MODELS -- 9.1 INTRODUCTION -- 9.2 WARRANTY MODELS FOR NONREPAIRABLE PRODUCTS -- 9.3 WARRANTY MODELS FOR REPAIRABLE PRODUCTS -- 9.4 TWO-DIMENSIONAL WARRANTY.

9.5 WARRANTY CLAIMS -- PROBLEMS -- REFERENCES -- CHAPTER 10: CASE STUDIES -- 10.1 CASE 1: A CRANE SPREADER SUBSYSTEM -- 10.2 CASE 2: DESIGN OF A PRODUCTION LINE -- 10.3 CASE 3: AN EXPLOSIVE DETECTION SYSTEM -- 10.4 CASE 4: RELIABILITY OF FURNACE TUBES -- 10.5 CASE 5: RELIABILITY OF SMART CARDS -- 10.6 CASE 6: LIFE DISTRIBUTION OF SURVIVORS OF QUALIFICATION AND CERTIFICATION -- 10.7 CASE 7: RELIABILITY MODELING OF TELECOMMUNICATION NETWORKS FOR THE AIR TRAFFIC CONTROL SYSTEM -- 10.8 CASE 8: SYSTEM DESIGN USING RELIABILITY OBJECTIVES -- 10.9 CASE 9: RELIABILITY MODELING OF HYDRAULIC FRACTURE PUMPS -- REFERENCES -- APPENDICES -- APPENDIX A: GAMMA TABLE -- APPENDIX B: COMPUTER PROGRAM TO CALCULATE THE RELIABILITY OF A CONSECUTIVEK-OUT-OF-N:F SYSTEM -- APPENDIX C: OPTIMUM ARRANGEMENT OF COMPONENTS IN CONSECUTIVE-2-OUT-OF-N:F SYSTEMS -- APPENDIX D: COMPUTER PROGRAM FOR SOLVING THE TIME-DEPENDENT EQUATIONS USING RUNGE-KUTTA'S METHOD -- APPENDIX E: THE NEWTON-RAPHSON METHOD -- APPENDIX F: COEFFICIENTS OF bi's FOR i = 1, . . . , n -- APPENDIX G: VARIANCE OF θ2*'s IN TERMS OF θ22 /n AND K3 /K2* -- APPENDIX H: COMPUTER LISTING OF THE NEWTON-RAPHSON METHOD -- APPENDIX I: COEFFICIENTS (ai AND bi) OF THE BEST ESTIMATES OF THE MEAN (μ) AND STANDARD DEVIATION (σ) 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 χ2 -- APPENDIX M: SOLUTIONS OF SELECTED PROBLEMS -- AUTHOR INDEX -- SUBJECT INDEX.