This paper introduces the Delay Times (preparing/waiting time for repair). The Laplace-Stieltjes transform of 1) The first-passage time distribution to system failure, 2) The s-expected number of system failures during (0, t], 3) The probability that the system fails at time t, are all derived for a 2-unit warm-standby redundant system by unique modification of a Markov Renewal process. Three examples are given
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Kapur et al. (1975) studied this question.
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