MCG 4329 Lecture Notes - Lecture 1: Weibull Distribution, Survival Analysis, Fault Tree Analysis

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Model systems with dependent failure and repair modes. Model repairable systems with constant failure and repair rates. This method breaks down for a system with time dependent failure and repair rates: cumulative distribution function. The total sum of the area under a probability density function: common-cause failure. An event where multiple system failures occur due to one cause. Examples: fire, dust, earthquakes etc: hazard rate. Frequency with which engineering system fails (failures per hour) Time dependent (except exponential, where it is called failure rate) Different for each kind of distribution: fault tree. Accurate and complex method of analysis in a system. Top event will occur if all events in set are satisfied: bathtub hazard rate curve. Most failures occur in burn in and wear out periods: weibull probability density function. Can be used to represent different physical phenomena. Event occurs if all events occur: mutually exclusive events.

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