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The Probability of an “Excessive Nonfunctioning Interval”

Author

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  • A. von Ellenrieder

    (University of Buenos Aires, Argentina)

  • A. Levine

    (University of Buenos Aires, Argentina)

Abstract

A “component” is defined as a zero-one function of time. The probability that this function is not continuously equal to “one” for longer than a stated value (the “excessive nonfunctioning interval”) anywhere in a given time period is derived assuming a common type of Markov process. This probability is found as the probability of “first passage” of a derived stochastic process.

Suggested Citation

  • A. von Ellenrieder & A. Levine, 1966. "The Probability of an “Excessive Nonfunctioning Interval”," Operations Research, INFORMS, vol. 14(5), pages 835-840, October.
    • Handle: RePEc:inm:oropre:v:14:y:1966:i:5:p:835-840
    DOI: 10.1287/opre.14.5.835
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