The Discrete Probability Distribution for Failures in a Defined Time Interval When the Time-to-Failure Is Weibully Distributed Throughout
ARMY MISSILE COMMAND REDSTONE ARSENAL AL REDSTONE ARSENAL
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Described herein is the development of a probability distribution function for the discrete random variable, number of failures, observed in a time interval consisting of T hours when the operating systems time-to-failure is distributed as a two parameter Weibull distribution. Particular application of the distribution is envisioned in repairspare parts quantity forecasting. Additionally, discussions are provided pertaining to the distributions goodness-of-fit to simulated Weibull failure times and its use in evaluating stock-out risks associated with discrete stockage levels.