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Reliability

This overview delves into the concepts of reliability and maintainability in product performance. Reliability assesses the probability that a product will function as intended for a specified time under specific conditions. Functional failure refers to the product not operating as designed, while reliability failure denotes it not performing correctly for the expected duration. We explore key metrics like mean time to failure (MTTF) and mean time between failures (MTBF), and the implications of redundancy in systems like Apollo 13 on reliability.

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Reliability

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  1. Reliability

  2. Probability a product will perform as promoted for a given time period under given conditions • Functional Failure: does not operate as designed • Reliability Failure: does not operate as designed as long as it is supposed to • Maintainability: related to durability and refers to once a product breaks, what is the probability it can become functional again

  3. Inherent Reliability is Designed Reliability • Found by reliability testing

  4. Achieved Reliability is Empirical

  5. Infant Mortality Period: if it makes it by time x, then the constant failure rate takes over

  6. Failure Rate, lambda, is units per hour • lambda = number of failures/total unit operating hours

  7. Mean Time to Failure MTTF (non repairable) or Mean Time Between Failure MTBF (repairable items) is theta = 1/lambda

  8. For a given p of failure, what is the p of failure in a given time interval p = e ^ (-lambda (t2-t1)) • number happening in given time that is Poisson distributed which means the interval between is exponentially distributed

  9. Reliability Function R of given time (RT = e^(-lambda * T)

  10. Reliability of process with Tasks in Serial • R1 times R2… times RN

  11. Reliability of process with steps in parallel • 1-(1-R1)(1-R2)(1-Rn)

  12. Redundancy and Apollo 13

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