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We study the evolution of a multi-component system which is modeled by
a semi-Markov process. We give formulas for the avaibility and the
reliability of the system. In the r-positive case, we prove that the
quasi-stationary probability on the working states is the normalised
left eigenvector of some computable matrix and that the asymptotic
failure rate is equal to the absolute value of the convergence
parameter r.
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