Abstract
Metaheuristic algorithms play a pivotal role in addressing complex and nonlinear optimization challenges. However, traditional optimizers often struggle to locate the global optimum in intricate problem spaces, necessitating the development of hybrid methodologies. This paper introduces FVIMDE, a cutting-edge hybrid optimization algorithm that amalgamates the innovative Four Vector Intelligent Metaheuristic (FVIM) with the proven robustness of Differential Evolution (DE). Designed to adeptly maneuver through the complex terrains of various optimization and engineering design problems, FVIMDE is tested and evaluated over three well-known benchmark suites—CEC2017, CEC2022, and a specially set of 50 benchmark functions. statistacel tests has been calculated including mean, standard deviation and the wilcoxon sum rank test. Further FVIMDE has been compared with state-of-art optimizers. Subsequent applications of FVIMDE to five intricate structural engineering challenges further validate its effectiveness. Comparative analyses against several leading optimization algorithms highlight the superior adaptability and robustness of FVIMDE, showcasing its exceptional performance and significant improvements over traditional methods in diverse optimization environments.