Abstract
A consective k-out-of-n system consists of n linearly or cycliccally ordered components such that the system fails if and only if at least k consecutive components fail. In this paper we consider a maintained system where each component is repaired independently of the others according to an exponential distribution. Assuming general lifetime distributions for system's components we prove a limit theorem for the time to first failure of both linear and circular systems.
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Papastavridis, S.G., Koutras, M.V. Consecutive k-out-of-n systems with maintenance. Ann Inst Stat Math 44, 605–612 (1992). https://doi.org/10.1007/BF00053392
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DOI: https://doi.org/10.1007/BF00053392