Abstract

The optimal minimal-repair and replacement problem of a reliability system under the average cost criterion is formulated as a semi-Markov decision process, and it is shown that there is a (t,T)-policy which is optimal among all allowable policies, under the assumption that the failure rate of the system monotonically increases to infinity. A (t,T)-policy implies that a failure before age t is minimally repaired, but the system is replaced when age T is reached or when the first failure after age t occurs whichever comes first.

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