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Foreword; Preface; Acknowledgments; Contents; 1 Introduction; 1.1 Need for Reliability and Safety Engineering; 1.2 Exploring Failures; 1.3 Improving Reliability and Safety; 1.4 Definitions and Explanation of Some Relevant Terms; 1.4.1 Quality; 1.4.2 Reliability; 1.4.3 Maintainability; 1.4.4 Availability; 1.4.5 Risk and Safety; 1.4.6 Probabilistic Risk Assessment/Probabilistic Safety Assessment; 1.5 Resources; 1.6 History; 1.7 Present Challenges and Future Needs for the Practice of Reliability and Safety Engineering; References; 2 Basic Reliability Mathematics.
2.1 Classical Set Theory and Boolean Algebra2.1.1 Operations on Sets; 2.1.2 Laws of Set Theory; 2.1.3 Boolean Algebra; 2.2 Concepts of Probability Theory; 2.2.1 Axioms of Probability; 2.2.2 Calculus of Probability Theory; 2.2.3 Random Variables and Probability Distributions; 2.3 Reliability and Hazard Functions; 2.4 Distributions Used in Reliability and Safety Studies; 2.4.1 Discrete Probability Distributions; 2.4.1.1 Binomial Distribution; 2.4.1.2 Poisson Distribution; 2.4.1.3 Hyper Geometric Distribution; 2.4.1.4 Geometric Distribution; 2.4.2 Continuous Probability Distributions.
2.4.2.1 Exponential Distribution2.4.2.2 Normal Distribution; 2.4.2.3 Lognormal Distribution; 2.4.2.4 Weibull Distribution; 2.4.2.5 Gamma Distribution; 2.4.2.6 Erlangian Distribution; 2.4.2.7 Chi-Square Distribution; 2.4.2.8 F-Distribution; 2.4.2.9 t-Distribution; 2.4.3 Summary; 2.5 Failure Data Analysis; 2.5.1 Nonparametric Methods; 2.5.2 Parametric Methods; 2.5.2.1 Identifying Candidate Distributions; 2.5.2.2 Estimating the Parameters of Distribution; 2.5.2.3 Goodness-of-Fit Tests; References; 3 System Reliability Modeling; 3.1 Reliability Block Diagram (RBD).
3.1.1 Procedure for System Reliability Prediction Using RBD3.1.2 Different Types of Models; 3.1.3 Solving RBD; 3.1.3.1 Truth Table Method; 3.1.3.2 Cut-Set and Tie-Set Method; 3.1.3.3 Bounds Method; 3.2 Markov Models; 3.2.1 Elements of Markov Models; 3.3 Fault Tree Analysis; 3.3.1 Procedure for Carrying Out Fault Tree Analysis; 3.3.2 Elements of Fault Tree; 3.3.3 Evaluations of Fault Tree; 3.3.4 Case Study; References; 4 Reliability of Complex Systems; 4.1 Monte Carlo Simulation; 4.1.1 Analytical versus Simulation Approaches for System Reliability Modeling.
4.1.2 Elements of Monte Carlo Simulation4.1.3 Repairable Series and Parallel System; 4.1.4 Simulation Procedure for Complex Systems; 4.1.4.1 Case Study
AC Power Supply System of Indian NPP; 4.1.5 Increasing Efficiency of Simulation; 4.2 Dynamic Fault Tree Analysis; 4.2.1 Dynamic Fault Tree Gates; 4.2.2 Modular Solution for Dynamic Fault Trees; 4.2.3 Numerical Method; 4.2.4 Monte Carlo Simulation; 4.2.4.1 Case Study 1
Simplified Electrical (AC) Power Supply System of NPP; 4.2.4.2 Case Study 2
Reactor Regulation System (RRS) of NPP; References; 5 Electronic System Reliability.
2.1 Classical Set Theory and Boolean Algebra2.1.1 Operations on Sets; 2.1.2 Laws of Set Theory; 2.1.3 Boolean Algebra; 2.2 Concepts of Probability Theory; 2.2.1 Axioms of Probability; 2.2.2 Calculus of Probability Theory; 2.2.3 Random Variables and Probability Distributions; 2.3 Reliability and Hazard Functions; 2.4 Distributions Used in Reliability and Safety Studies; 2.4.1 Discrete Probability Distributions; 2.4.1.1 Binomial Distribution; 2.4.1.2 Poisson Distribution; 2.4.1.3 Hyper Geometric Distribution; 2.4.1.4 Geometric Distribution; 2.4.2 Continuous Probability Distributions.
2.4.2.1 Exponential Distribution2.4.2.2 Normal Distribution; 2.4.2.3 Lognormal Distribution; 2.4.2.4 Weibull Distribution; 2.4.2.5 Gamma Distribution; 2.4.2.6 Erlangian Distribution; 2.4.2.7 Chi-Square Distribution; 2.4.2.8 F-Distribution; 2.4.2.9 t-Distribution; 2.4.3 Summary; 2.5 Failure Data Analysis; 2.5.1 Nonparametric Methods; 2.5.2 Parametric Methods; 2.5.2.1 Identifying Candidate Distributions; 2.5.2.2 Estimating the Parameters of Distribution; 2.5.2.3 Goodness-of-Fit Tests; References; 3 System Reliability Modeling; 3.1 Reliability Block Diagram (RBD).
3.1.1 Procedure for System Reliability Prediction Using RBD3.1.2 Different Types of Models; 3.1.3 Solving RBD; 3.1.3.1 Truth Table Method; 3.1.3.2 Cut-Set and Tie-Set Method; 3.1.3.3 Bounds Method; 3.2 Markov Models; 3.2.1 Elements of Markov Models; 3.3 Fault Tree Analysis; 3.3.1 Procedure for Carrying Out Fault Tree Analysis; 3.3.2 Elements of Fault Tree; 3.3.3 Evaluations of Fault Tree; 3.3.4 Case Study; References; 4 Reliability of Complex Systems; 4.1 Monte Carlo Simulation; 4.1.1 Analytical versus Simulation Approaches for System Reliability Modeling.
4.1.2 Elements of Monte Carlo Simulation4.1.3 Repairable Series and Parallel System; 4.1.4 Simulation Procedure for Complex Systems; 4.1.4.1 Case Study
AC Power Supply System of Indian NPP; 4.1.5 Increasing Efficiency of Simulation; 4.2 Dynamic Fault Tree Analysis; 4.2.1 Dynamic Fault Tree Gates; 4.2.2 Modular Solution for Dynamic Fault Trees; 4.2.3 Numerical Method; 4.2.4 Monte Carlo Simulation; 4.2.4.1 Case Study 1
Simplified Electrical (AC) Power Supply System of NPP; 4.2.4.2 Case Study 2
Reactor Regulation System (RRS) of NPP; References; 5 Electronic System Reliability.