Abstract
This paper deals with a single-server one-unit system subject to both revealed and unrevealed failures. We shall assume that a revealed failure is detected as soon as it occures but an unrevealed failure is detected by an inspection only. Under an inspection policy, the Laplace transform of the pointwise availability of the system and the stationary availability of the system are derived by using the supplementary variable method. Further, we discuss the optimum inspection schedule maximizing the stationary availability. Finally, some numerical examples are presented.
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