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Uncertain Random Alternating Renewal Process With Application to Interval Availability
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DOI：10.1109/TFUZZ.2014.2360551.png)
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As a mixture of a random variable and an uncertain variable, an uncertain random variable is a tool to deal with the indeterminacy quantities involving randomness and human uncertainty. This paper aims at proposing a concept of an uncertain random alternating renewal process to model a repairable system with random on-times and uncertain off-times. An alternating renewal theorem is proved, which gives the limit chance distribution of the interval availability of the uncertain random alternating renewal system.
Keyword:
Alternating renewal process
renewal process
uncertain random variable
uncertainty theory
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