Citation:
Wu, Q and Wu, S. Reliability analysis of two-unit cold standby repairable systems under Poisson
shock. Applied Mathematics and Computation, Vol. 218, Iss. 1, September 2011, pp171-182
Abstract:
This paper analyses the reliability of a cold standby system consisting of two
re- pairable units, a switch and a repairman. At any time, one of the two units
is operating while the other is on cold standby. The repairman may not always at
the job site, or take vacation. We assume that shocks can attack the operating
unit. The arrival times of the shocks follow a homogeneous Poisson process and
their magni- tude is a random variable following a known distribution. Time on
repairing a failed unit and the length of repairman's vacation follow general
continuous probability distributions, respectively. The paper derives a number
of reliability indices: sys- tem reliability, mean time to first failure,
steady-state availability, and steady-state failure frequency.