Optimization Methods to Develop Bounds for Reliability using Normal Distribution

摘要

In this paper, we proposed an alternative method to obtain the reliability of a system. This study deals with the analysis reliability bounds. Here, we consider that a life time of a system is normally distributed with prior normal distribution, the compound distribution is also a normal distribution. We developed a methodology to find the GLB and LUB for basic and updated basic distribution. The method enable us to determine the reliability and unreliability for each stage in the process of distribution development. Due to cost & time saving these reliability bounds are more useful than any other method.