Abstract: In a broad sense, the reliability of a system is one of the important measures to implement an engineering system. With the development of science and technology and engineering systems’ getting complex and thereby the effect of their unreliable behavior in different fields and the tendency to evaluate the coefficient of reliability of engineering systems and the need to improve this coefficient has become very important. To obtain or manufacture products with high reliability, various methods are used to optimize these systems. One of the most widely used methods is genetic algorithms that have high potential in the optimization of engineering systems. In this study, a special model for the optimization of these problems is presented.