Estimating systems reliability functions for the generalized exponential distribution with application

Abstract

This article dealt with estimating and analyzing the reliability function for hybrid systems. The hybrid sys-tems included series-parallel and parallel-series with symmetric components representing the machine's op-eration times; these times follow a generalized exponential distribution. Furthermore, we suggested employ-ing a hybrid system parallel series in the application part of this research, which includes the operation times of Baghdad's Vegetable Oil factory machines. The results of the reliability function for the factory system indicate that the probability that the factory machines will stop during the first hour is more than 40%. Still, if the hybrid parallel-series system is applied, the probability that the factory operating system will not stop during the second hour becomes 80%.