Abstract
We determine the stationary distribution of the embedded Markov chain of semimarkov processes that are supporting for a family of them describing the functioning of systems with a replenishable reserve time. The results obtained are used to give an approximate computation of the time to failure of a system with back-up and a large amount of replenishable reserve time.
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Translated fromDinamicheskie Sistemy, No. 6, 1987, pp. 95–101.
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Obzherin, Y.E., Skatkov, A.V. On the time to failure of systems with large replenishable reserve time. J Math Sci 57, 3429–3432 (1991). https://doi.org/10.1007/BF01880213
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DOI: https://doi.org/10.1007/BF01880213