An inspection policy for unrevealed failures in a two-unit cold standby system subject to correlated failures and repairs

Abstract This paper considers the stochastic analysis of a two-unit (dissimilar units) cold standby system subject to revealed and unrevealed failures. We assume that a revealed failure is detected as soon as it occurs but an unrevealed failure is detected by an inspection only. Failure and repair times are assumed to be correlated and their joint distributions are taken to be bivariate exponential (B.V.e.). Important reliability characteristics useful to system designers are obtained by using the regenerative point technique.