Abstract
In this paper we study the reliability behaviour of a two-unit cold standby system with priority. At time t = 0, the priority unit (p) begins to work and the standby unit (s) is in cold standby. The p-unit has priority whether it is working or being repaired. A single repairman is available, and the repaired unit is as good as new. We assume that the p-unit's working time X 1 has a general life distribution F( x), and its repair time Y 1 has a general distribution G( x). The s-unit's working time X 2 has an exponential distribution with mean 1 λ , and its repair time has an exponential distribution with mean 1 μ . Using the Markov renewal process and stochastic comparison, we give bounds of the mean time to the first failure of the system, and the system's availability.
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