Develop a hybrid metaheuristic algorithm for the cost optimization of castellated beam

Mohammad Hasan Haddad, Ali Tanoumand, Mohammad Reza Mashayekhi, Ali Majdi, Ataallah Sadeghi-Movahhed, Ehsan Noroozinejad Farsangi · Engineering Computations · 2025

Purpose The purpose of this paper is to improve the battle royale optimization (BRO) (Rahkar Farshi, 2020) algorithm to solve the problem of castellated beams, so it is integrated with particle swarm optimization (PSO) to achieve better solutions. The flowchart of this algorithm has been shown. The formulation of designing the castellated beams has been mentioned and utilized for three different problems. At last, the results of the proposed algorithm have been compared with BRO. The results show that it got better solutions rather than BRO. Design/methodology/approach Many metaheuristics algorithm has been developed in recent years, but it should be noted that each one of metaheuristics can be used to solve particular problems and it cannot be used to solve all optimization problems. To overcome this weakness, a combination of two metaheuristics will be used. This approach may solve more problems rather than individual metaheuristics. For example, the PSO algorithm may reach a premature result, and the final result may differ from the actual solution. The proposed algorithm in this study is a combination of BRO and PSO. Findings Regarding the results, the BRO couldn't handle this problem, and the results obtained by the BRO are not close to the results obtained by the BRO-PSO algorithm. However, the best results obtained by BRO-PSO for three problems are 146.14, 347.06 and 321.74, respectively. Moreover, for the three problems cost functions resulting from BRO are 326.92, 366.08 and 337.57. The cost functions show that the proposed algorithm has been improved by 54.9% for the first problem, 5.19% for the second and 4.7% for the last problem. Originality/value A novel hybrid algorithm has been proposed and tested.

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