The Probability of an “Excessive Nonfunctioning Interval”

A. von Ellenrieder and A. Levine
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A. von Ellenrieder: University of Buenos Aires, Argentina
A. Levine: University of Buenos Aires, Argentina

Operations Research, 1966, vol. 14, issue 5, 835-840

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.

Date: 1966
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