To improve reliability and to design any system that depends on component arrangement, reliability, and redundancy, the Reliability Redundancy Allocation Problem (RRAP) plays a crucial role. The present study aims to optimize the system's reliability by implementing RRAP. This research deals with hybrid energy systems and metaheuristic algorithms to maximize reliability. Optimization algorithms: the Mayfly and Driving Training-Based Optimization algorithm (DTBO), are developed to solve nonlinear mixed integer nonlinear RRAP. Also, to determine the most efficient algorithm between Mayfly and DTBO a comparison of both algorithms for the optimize reliability of hybrid energy system is presented.