Abstract
An n unit system operating in a random environment is considered. The environment determines the number of units required for the satisfactory performance of the system. Assuming that a unit in standby can fail and that the environment is described by a Markov Process, we obtain expressions for (1) the distribution and the moments of the time to the first disappointment and (2) the expected number of disappointments over an arbitrary interval (o, t].
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Chandrasekhar, P., Natarajan, R., Yadavalli, V.S.S. et al. An n Unit System Operating in a Random Environment. OPSEARCH 42, 280–287 (2005). https://doi.org/10.1007/BF03398735
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DOI: https://doi.org/10.1007/BF03398735