Two models have been considered for a complex system with two classes of components L1 and L2. L1 components are connected in series; failure of an L1 component causes failure of the system. Class L2 consists of large number of components. Failure of any one L2 component reduces the efficiency of the system. Repairs of L2 components are followed by post-repairs. In Model I, repairs and post-repairs are done by a single channel; in Model II, there are separate channels for the two. Failure and repair times are exponentially distributed. Laplace transforms of the various probability states are obtained.
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Kapur et al. (1975) studied this question.
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