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1 results

  • Maximization of a survival probability and its application

  • Part of
  • Jie Mi
  • Journal:
    Journal of Applied Probability / Volume 31 / Issue 4 / December 1994
    Published online by Cambridge University Press:
    14 July 2016, pp. 1026-1033
    Print publication:
    December 1994

  • When a mission is assigned, it often is the case that the component used to perform the task is required to work properly during the period of the mission time. In other words, the probability of the event that this component does not fail within the allowable mission time should be as large as possible. This problem is considered for the case when the lifetime of a component has a bathtub-shaped failure rate function, and it is found that burn-in procedure is beneficial. An application of this result to the problem of minimizing the mean number of failures in a given period of mission time is also considered.