Two unit cold standby system with correlated failures and repairs

Abstract

Abstract A two unit cold standby system with correlated failure and repair processes is studied. Such a system has not been studied so far in the context of reliability. We obtain the reliability characteristics of interest to system designers such as the mean time to system failure, pointwise and steady state availablity of the system, expected up time and down time of the system in a finite interval, etc. In fact the joint distribution of failure and repair times is taken as bivariate exponential. Earlier results with independent failure and repair times are verified.