Reliability Engineering in Perspective Why Study Reliability? 2 Failure Models Stress-Strength Model Damage-Endurance Model. Performance-Requirement Model Failure Mechanisms Performance Measures Formal Definition of Reliability Definition of Availability Definition of Risk Basic Reliability Mathematics: Review of Probability and Statistics Elements of Probability Sets and Boolean Algebra Basic Laws of Probability Classical Interpretation of Probability (Equally Likely Concept) Frequency Interpretation of Probability Subjective Interpretation of Probability Calculus of Probability Bayes' Theorem Probability Distributions Random Variable Some Basic Discrete Distributions Discrete Uniform Distribution Binomial Distribution Hypergeometric Distribution Poisson's Distribution Geometric Distribution Some Basic Continuous Distributions Normal Distribution Lognormal Distribution Exponential Distribution Weibull Distribution Gamma Distribution Beta Distribution Beta-Exponential Distribution Joint and Marginal Distributions Truncated Distributions Basic Characteristics of Random Variables Estimation and Hypothesis Testing Point Estimation Method of Moments Maximum Likelihood Method Interval Estimation and Hypothesis Testing Hypothesis Testing Bayesian Estimation 2.6 Frequency Tables and Histograms Goodness-of-Fit Tests Chi-Square Test Kolmogorov_Smirnov Test Regression Analysis Simple Linear Regression Component Reliability Analysis Concept of Reliability Reliability Function Failure Rate Some Useful Bounds and Inequalities for IFR (DFR) Bounds Based on a Known Quantile Bounds Based on a Known Mean Inequality for Coefficient of Variation Common Distributions in Component Reliability Exponential Distribution Weibull Distribution Gamma Distribution Normal Distribution Lognormal Distribution Extreme Value Distributions Some Basic Concepts and Definitions Order Statistics from Samples of Random Size Asymptotic Distributions of Maxima and Minima Three Types of Limit Distributions Reliability Data and Model Selection Graphical Nonparametric Procedures Small Samples Large Samples Probability Plotting Exponential Distribution Probability Plotting Weibull Distribution Probability Plotting Normal and Lognormal Distribution Probability Plotting Total-Time-on-Test Plots Maximum Likelihood Estimation of Reliability Distribution Parameters Censored Data Left and Right Censoring Type I Censoring Types of Reliability Tests Random Censoring Maximum Likelihood Estimation Using Reliability Data Exponential Distribution Point Estimation type I Life Test with Replacement Exponential Distribution Interval Estimation Lognormal Distribution Weibull Distribution Binomial Distribution Classical Nonparametric Distribution Estimation Confidence Intervals for cdf and Reliability Function for Complete and Singly Censored Data Confidence Intervals for cdf and Reliability Function for Multiply Censored Data Bayesian Estimation Procedures Estimation of the Parameter of Exponential Distribution Selecting Parameters of Prior Distribution Uniform Prior Distriburion Jeffreys Prior Distribution Bayesian Estimation of the Parameter of Binomial Distribution Standard Uniform Prior Distribution Truncated Standard Uniform Prior Distribution Beta Prior Distribution Jeffreys Prior Distribution for Parameterp of the Binomial Distribution Lognormal Prior Distribution Bayesian Estimation of the Weibull Distribution Prior Distribution Jeffreys Prior for Weibull Parameters Posterior Distributions (Posterior Distribution of Weibull cdf at a Fixed Exposure Posterior Distribution of Weibull Distribution Parameters Particular Case Bayesian Probability Papers Classical Simple Linear Regression Classical Probability Papers Bayesian Simple Linear Regression and Bayesian Probability Papers Including Prior Information about Model Parameters Including Prior Information about the Reliability or cdf Methods of Generic Failure Rate Determination System Reliability Analysis Reliability Block Diagram Method Series System Parallel Systems Standby Redundant Systems Load-Sharing Systems Complex Systems Fault Tree and Success Tree Methods Fault Tree Method Evaluation of Logic Trees Analysis of Logic Trees Using Boolean Algebra Combinatorial (Truth Table) Technique for Evaluation of Logic Trees Binary Decision Diagrams Success Tree Method Event Tree Method Construction of Event Trees Evaluation of Event Trees Master Logic Diagram Failure Mode and Effect Analysis Types of FMEA/FMECA Procedure. Reliability and Availability of Repairable Components and Systems Repairable System Reliability Basics of Point Processes Homogeneous Poisson Process Renewal Process Nonhomogeneous Poisson Process General Renewal Process Probabilistic Bounds Nonparametric Data Analysis Estimation of the CIF Estimation Based on one Realization (Ungrouped Data Estimation Based on One Realization (Grouped Data) Estimation Based on Several Realizations Confidence Limits for CIF Data Analysis for the HPP Procedures Based on the Poisson Distribution Procedures Based on the Exponential Distribution - of Time Intervals Data Analysis for the NHPP Regression Analysis of Time Intervals Maximum Likelihood Procedures Laplace's Test Data Analysis forGRP Example Based on Simulated Data Example Based on Real Data Availability of Repairable Systems Instantaneous (Poinr) Availability Limiting Point Availability Average Availability Availability Measures Based on Causes of Unavailability Inherent Availability Achieved operational Availability Use of Markov Processes for Determining System Availabitity Use of System Analysis Techniques in the Availability Calculations of Complex Systems Selected Topics in Reliability Modeling Probabilistic Physics-of-Failure Reliability Modeling Stress-Strength Model Damage*Endurance Model Performance-Requirement Model Software Reliability Analysis Software Reliability Models Software Life Cycle Models Waterfall Model Human Reliability HRA Process Simulation Methods Expert Judgment Methods Analytical Methods Human Reliability Data Measures of Importance Birnbaum Measure of Importance Criticality Importance Fussell-Vesely Importance Risk-Reduction Importance RAW Importance Practical Aspects of Importance Measures Maintenance Considerations in Reliability Reliability-Centered Maintenance optimal Preventive Maintenance Scheduling Economic Benefit of optimization Comparative Analysis of optimal Maintenance Policies under General Repair with Underlying Weibull Distributions Reliability Growth Graphical Method DuaneMethod Army Material Systems Analysis Activity Method Selected Topics in Reliability Data Analysis ................... ..'......'..'...... Accelerated Life Testing Basic AL Notions Time Transformation Function for the Case of Constant Stress ALModel Cumulative Damage Models and AL Model PHModel Some PopularAL(Reliability)Models AL Data Analysis Exploratory Data Analysis (Critęria of Linearity of Time Transformation Function for Constant Stress) Two-sample Criterion Checking the Coefficient of Variation Logarithm of Time-to-Failure Variance Quantile-Quantile Plots Reliability Models Fitting: Constant Stress Case Model for Time-Dependent Stress AL Reliability Model for Time-Dependent Stress and Palmgren-Miner's Rule Exploratory Data Analysis for Time-Dependent Stress Statistical Estimation of AL Reliability Models on the Basis of AL Tests with Time-Dependent Stress PH Model Data Analysis Automotive Tire Reliability Reliability Test Procedure PH Model and Data Analysis Reliability Analysis of Warranty Data Probabilistic models Models for Nonrepairable Systems Models for Repairable Systems Bivariate Models Statistical Estimation Nonrepairable System Models Repairable System Models Bivariate Models Special Topics Survival Regression in Root Cause Analysis of FieldFailures Life Scales; Time versus Usage Warranty Data Maturity Issues Calendarized Warranty Forecasting Analysis of Dependent failures Single-Parameter Models Multiple-Parameter Models Multiple Greek Letter Model cr-Factor Model BFRModel Data Analysis for CCFs Uncertainty Analysis Types of Uncertainty Parameter Uncertainties Model Uncertainties Completeness Uncertainty Uncertainty Propagation Methods Method of Moments System Reliability Confidence Limits Based on Component Failure Data Lloyd*Lipow Method Maximus Method Classical Monte Carlo Simulation Bayes' Monte Carlo Simulation Bootstrap Method Graphical Representation of Uncertainty Use of Expert opinion for Estimating Reliability Parameters Geometric Averaging Technique Bayesian Approach Statistical Evidence on the Accuracy of Expert Estimates Determination of Risk Values Quantitative Risk Assessment Identification of Hazards Identification of Barriers Identification of Challenges to Barriers Estimation of Hazard Exposure Consequences of Evaluation Probabilistic Risk Assessment Strengths of PRA Steps in Conducting a PRA objectives and Methodology Familiarization and Information Assembly Identification of Initiating Events Sequence or Scenario Development Logic Modeling Failure Data Collection, Analysis, and Performance Assessment Quantification and Integration Uncertainty Analysis Sensitivity Analysis Risk Ranking and Importance Analysis Interpretation of Results Compressed Natural Gas Powered Buses: A PRA Case Study Primary CNG Fire Hazards PRA Approach System Description Natural Gas Supply Compression and Storage Station Storage Cascade Dispensing Facile CNG Bus Gas Release Scenarios Fire Scenario Description Gas Release Gas Dispersion Ignition Likelihood Consequence Determination Fire Location Risk Value Determination Summary of PRA Results Overall Risk Results Uncertainty Analysis Sensitivity and Importance Analysis A Simple Fire Protection Risk Analysis Precursor-Based Risk Analysis Differences between APA and PRAs Appendix A: Statistical Tables Appendix B: Generic Failure Probabily Data