The Probability of an “Excessive Nonfunctioning Interval”
- 1 October 1966
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Operations Research
- Vol. 14 (5) , 835-840
- https://doi.org/10.1287/opre.14.5.835
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.Keywords
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