Reliability Analysis and Prediction

1. Reliability Engineering: An overview. Historical development. Reliability: A birth-to-death problem. Reliability: An interdisciplinary effort. Reliability education and research. Problems of developing countries. Reliability prediction and analysis. Problems in prediction and analysis. Challenges for future. Scope of the book. 2. Reliability Mathematics. Classical set theory. Boolean algebra. Sample space. Definitions of probability. Basic properties of probability. Independent events. Conditional probability. Multiplication theorem. Total probability theorem. Bayes' theorem. Random variables. Probability distributions. Cumulative distributions. Mathematical expectation. Variance. Covariance and correlation. Moments. Moment generating functions. Probability distributions. Joint probability distributions. Distributions of several random variables. Some useful limit theorems. Estimation theory. Laplace transform. Markov processes. Random number generation. 3. Reliability Data Analysis and Management. The reliability function. Mean time to failure. Variance. The bathtub curve. Linear hazard models. Other hazard models. Analysis of failure data. Probability graph papers. Illustrations. Hazard function plots. Selection of a distribution. Statistical estimation of failure data. Interval estimates. Reliability data management. 4. Reliability Prediction from Stress-Strength Models. Stresses due to internal and external environments. Physics of failures. Reliability from stress-strength distributions. Reliability from similar stress-strength distributions. Reliability from dissimilar stress-strength distributions. Graphical approach. Time dependent stress-strength models. Environmental factors. Environmental testing; Test specifications. Stress derating. Estimation of part failure rate. 5. System Reliability Modelling. System modelling. Assumptions for modelling. Two state modelling. Three-state models. 6. Reliability Evaluation Techniques. Non path sets or cut sets approaches. Tie set and cut set approaches. Reliability evaluation of flow networks. Path sets/cut sets enumeration. 7. Maintainability Analysis. Measures of system performance. State space approach. Network approach. Conditional probability approach. Three state systems. Preventive maintenance. Condition-based maintenance. 8. System Analysis Through Fault Trees. Important definitions. Event oriented analysis. Fault tree definitions and symbols. Structure function and coherence. Fault tree construction. Fault tree simplification. Fault tree evaluation. Importance measures of events. Measures of importance in multistate systems. Modularization in fault trees. Common cause/dependent failure analysis. Automatic synthesis of fault trees. Computer codes for fault tree analysis. References. Appendices. Subject index.