A novel hybrid metaheuristic algorithm, known as BES-GO, has been introduced to effectively tackle structural design optimization problems including welded beam design and the minimization of vertical deflection in I-beams. This innovative approach shows the potential to outperform traditional optimization techniques, marking a significant advancement in the field of civil engineering.
Authored by Essam H. Houssein and his colleagues, the study published on March 8, 2025, in Scientific Reports, aims to provide new solutions to complex optimization challenges commonly faced by engineers. The BES-GO algorithm draws from two established techniques: the Bald Eagle Search (BES) and the Growth Optimizer (GO). This hybrid algorithm integrates the exploratory capabilities of the BES with the adaptive learning features of GO to improve the convergence rates for solving design optimization problems.
Optimization problems arise frequently within the civil engineering domain, ranging from minimizing manufacturing costs to ensuring structural integrity. Traditional deterministic approaches often struggle with these challenges, especially when dealing with non-linear, non-convex, or discontinuous solution spaces. The introduction of metaheuristics, such as BES-GO, facilitates solving problems where classic methods fall short.
The research team conducted rigorous evaluations of BES-GO using the CEC'20 test suite and five real-world structural design benchmarks: welded beam design, weight optimization of cantilever beams, I-beam vertical deflection, tubular column design optimization, and three-bar truss system optimization. Each test problem was assessed for its convergence speed, optimal value, and stability across multiple iterations.
BES-GO has shown superior performance results compared to ten other state-of-the-art algorithms, including the Ant Lion Optimizer, Tuna Swarm, and Particle Swarm Optimization. According to the authors, "BES-GO consistently outperformed the other algorithms in terms of convergence speed and achieving optimal solutions." This algorithm achieved the best average fitness value among the competitors, showcasing its increased efficiency.
The design of the BES algorithm is inspired by the hunting strategies of bald eagles, utilizing three stages of exploration, search, and exploitation to locate optimal solutions effectively. The GO algorithm emphasizes reflective learning, allowing it to adapt and move closer to optimal solutions based on previously discovered values.
By combining these two distinct methodologies, the BES-GO algorithm not only enhances the search capabilities but also achieves faster convergence rates. This is particularly beneficial for complex engineering problems where conventional methods may falter. The evaluation of the algorithm has highlighted its robustness and versatility, making it a promising candidate for real-world applications.
For example, the optimized solutions for the I-beam vertical deflection problem indicate how the authors can minimize deflections under load, thereby improving safety and durability. “Metaheuristic approaches are inspired by natural phenomena, enabling high adaptability to complex problems,” wrote the authors of the article.
The findings of this research open doors to new advancements within engineering optimization, as BES-GO proves to be not only effective but also efficient. Future work could explore modifications to the algorithm to improve its application across various fields within civil engineering, including multi-objective optimization problems.
Overall, the introduction of BES-GO could represent a substantial leap forward for engineers seeking reliable and optimized designs, propelling the field closer to achieving complex structural integrity at reduced costs.