Estimation of the parameters of triple modular redundancy system under step partially accelerated life tests using Frechet distribution

Abstract

Triple modular redundancy system (TMR) is repetition of important components or functions of the system. It aims to increase the reliability and reducing the failure rate. This study is focused on the estimating of the distribution’s parameters of the "TMR system" under the partly life test with gradual stress, as it included every component in the system that follows The Frechete distribution. This research aimed to analysis the reliability of this triple modular system. The optimal time for stress change was determined using two criteria according to the accelerated stress strategy under the new distribution, as well as estimating the reliability of the system by using the maximum likelihood (MLE) method. The efficiency of the " MLE" in estimate the parameters of the new distribution is one of the most important conclusions in this study. Therefore, the design of the "TMR” system can have a lengthy lifetime and higher safety, reducing the risks of unexpected failure and the economic losses.