UNIT :- 1 BASIC PROBABILITY Rules for combining probability, Probability Distri butions, Random variables, density and distribution functions. Mathematical expectation. Binominal distribution, Poisson distribution, normal distribution, exponential distribution, Weibull distribution.
UNIT :- 2 Definition of Reliability. Significance of the terms appearing in the definition. Component reliability, Hazard rate, derivation of the reliability function in terms of the Hazarad rate, Hazard models. Causes of failures, types of failures, Modes of failure, Bath tub curve, Effect of preventive maintenance. Measures of mean time to failure and mean time between failures.
UNIT :- 3 CLASSIFICATION OF ENGINEERING Series, parallel, series-parallel, parallel- series and non-series-parallel configurations. Expressions for the reliability of the basic configurations. RELIABILITY LOGIC Reliability evaluation of Non-series-parallel minimal tie-set, minimal cut-set and decomposition methods. Deduction of the minimal cut sets from the minimal path sets.
UNIT :- 4 DISCRETE MARKOV General modeling concepts, stochastic transitional probability matrix, time dependent probability evaluation and limiting state probability evaluation. Absorbing states. CONTINUOUS MARKOV Modeling concepts, State space diagrams, Stochastic Transitional Probability Matrix, Evaluating limiting state Probabilities. Reliability evaluation of repairable systems.
UNIT :-5 SERIES SYSTEMS AND PARALLEL Series systems, parallel systems with two and more than two components, Network reduction techniques. Minimal cut set/failure mode approach