Reliability Analytics Toolkit Example Weibull Calculation Find the reliability of one of these tubes for a mission time of 100 hours, and the hazard rate after a tube has operated successfully for 100 hours. The failure times of a particular transmitting tube are found to be Weibull distributed with β = 2, and η = 1000 hours (consider η somewhat related to MTTF). One such tool is the Weibull analysis tool in the Reliability Analytics Toolkit. Graphical and mathematical methods are used to analyze failure data and determine estimated for specific Weibull model parameters. Thus, it may be used to help identify other distributions from life data (backed up by goodness of fit tests) as well as being a distribution in its own right. In most practical reliability situations, Υ is often zero (failure assumed to start at t = 0) and the failure density function becomesĪnd the reliability and hazard functions becomeĭepending upon the value of β, the Weibull distribution function can take the form of the following distributions: Η is the scale parameter or characteristic life (life at which 63.2% of the population will have failed) One of the versions of the failure density function is The Weibull distribution is particularly useful in reliability work since it is a general distribution which, by adjustment of the distribution parameters, can be made to model a wide range of life distribution characteristics of different classes of engineered items.
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