Stochastic Reliability Modelling of Three-Component Systems under Simultaneous Failure Shocks

الملخص

In this article, Reliability analysis of a three-unit identical system is discussed. The units of system may affect by two types of failures namely, Lethal Common Cause Shock (LCCS) and Non-Lethal Common Cause Shock (NCCS) failures.  Using stochastic process, the set of differential equations of the current model are derived to obtain reliability measures such as reliability of the system and Mean Time to Failure (MTTF) in the case of series and parallel. Also, the Maximum Likelihood Estimates (MLE) of the above said measures are discussed and presented in numerical illustration by using simulation.  Tables display the findings and suggest that LCCS and NCCS are the most dominant causes of failures while studying the performance of the systems in reliability theory.