Sensitivity Analysis of a k-out-of-n:F System Characteristics to Shapes of Input Distribution

The problem of sensitivity of a redundant system’s probability characteristics to shapes of the input distributions is considered. In some previous works, closed-form representations have been obtained for stationary characteristics of hot-standby redundant systems with exponential lifetime distribution of their elements and general distribution of their repair time. In the current paper we carry out the sensitivity analysis of a k-out-of - n :F system with the help of a simulation approach. Comparison of analytic and simulation results is presented. © 2020, Springer Nature Switzerland AG.