Analysis of Linear Consecutive-2-out-of-n: F Repairable System with Different Failure Rate

Abstract

In the reliability analysis, when the reliability of a repairable consecutive-k-out-of-n system is considered, the components are generally supposed to have an equal failure rate. In practice, this assumption may fail. Therefore, in this paper it is adopted that the lifetime of each component are random variables, exponentially distributed, with different failure rates. The time required to repair is an exponential random variable and each component after repair is as durable as new. In this paper, we proposed a model for the state transition probability of this repairable system when components have unequal failure rates. The system mean time to first failure was also studied.