The present study proposed a novel and effective optimizer for multiobjective structural optimization problems termed multiobjective heat transfer search with modified binomial crossover (MOHTS-BX). A novel reproduction phase called a modified binomial crossover mode based on modified binomial crossover has been introduced to the basic HTS optimizer to enhance its global diversification and local intensification. The MOHTS-BX optimizer works on the thermodynamic principles in which system molecules (corresponds to design solutions) exchange energy within its molecules and concurrently with the molecules of surrounding (treated as the best solution) to accomplish thermal stability. This energy trade is performed through four phases namely conduction, convection, radiation, and modified binomial crossover modes. Seven benchmark structural design problems have been explored with the MOHTS-BX optimizer to examine its fitness and efficacy. For viability, discrete design variables are accounted with the objectives of structure weight reduction and maximization of nodal displacements. To exemplify the efficacy and pertinence of the proposed MOHTS-BX algorithm, four multiobjective mechanical design optimization problems, and the CF test problems from the CEC2009 competition were also accounted. The outcomes of the proposed optimizer are compared with four other distinguished multiobjective optimizers while the performance is validated by some indicators i.e. Pareto front-Hypervolume, Front Spacing-to-Extent, Inverted Generational Distance, etc. Findings show that MOHTS-BX can effectively yield a set of non-dominated solutions. Friedman’s rank test is applied for the experiment work statistical analysis. The conclusion drawn elucidates the superiority of the proposed optimizer to the others.

本研究针对多目标结构优化问题提出了一种新颖有效的优化器，称为改进的二项式交叉（MOHTS-BX）多目标传热搜索。基本的HTS优化器已引入一种基于修改的二项式交叉的新颖的复制阶段，称为修改的二项式交叉模式，以增强其全球多样化和局部集约化。MOHTS-BX优化器根据热力学原理工作，在该热力学原理中，系统分子（对应于设计解决方案）在其分子内以及与周围的分子同时（作为最佳解决方案）交换能量以实现热稳定性。这种能量交换是通过四个阶段执行的，即传导，对流，辐射和修正的二项式交叉模式。使用MOHTS-BX优化器探索了七个基准结构设计问题，以检验其适用性和功效。为了可行，考虑了离散的设计变量，以减轻结构重量和最大化节点位移为目标。为了证明所提出的MOHTS-BX算法的有效性和针对性，还考虑了四个多目标机械设计优化问题以及来自CEC2009竞赛的CF测试问题。将拟议的优化器的结果与其他四个杰出的多目标优化器进行比较，同时通过某些指标（如帕累托前超体积，前向延伸距离，反向生成距离等）验证了性能。研究结果表明，MOHTS-BX可以有效地产生一组非支配的解决方案。弗里德曼等级检验用于实验工作的统计分析。得出的结论阐明了所提出的优化器相对于其他优化器的优越性。