On a Two-Unit Standby Redundant System with Standby Failure

This paper derives the mean time and the Laplace-Stieltjes transform of the distribution of the first time to system-down for a two-unit standby redundant system when failure of the unit in standby is allowed. Further, it shows that special cases of the results obtained here coincide with earlier results for the two-unit standby redundant system and the two-unit parallel redundant system. Finally, it discusses numerical examples and some interesting models.