Reliability analysis of two-unit cold standby repairable systems under Poisson shock.

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.