This paper addresses multi-objective optimization and the truss optimization problem employing a novel meta-heuristic that is based on the real-world water cycle behavior in rivers, rainfalls, streams, etc. This meta-heuristic is called multi-objective water cycle algorithm (MOWCA) which is receiving great attention from researchers due to the good performance in handling optimization problems in different fields. Additionally, the hyperbolic spiral movement is integrated into the basic MOWCA to guide the agents throughout the search space. Consequently, under this hyperbolic spiral movement, the exploitation ability of the proposed MOSWCA is promoted. To assess the robustness and coherence of the MOSWCA, the performance of the proposed MOSWCA is analysed on some multi-objective optimisation benchmark functions; and three truss structure optimization problems. The results obtained by the MOSWCA of all test problems were compared with various multi-objective meta-heuristic algorithms reported in the literature. From the empirical results, it is evident that the suggested approach reaches an excellent performance when solving multi-objective optimization and the truss optimization problems.

本文采用一种新颖的元启发式方法解决多目标优化和桁架优化问题，该方法基于现实世界中河流，降雨，河流等的水循环行为。这种元启发式方法称为多目标水循环算法（MOWCA）由于在处理不同领域的优化问题方面的出色表现而受到研究人员的极大关注。此外，双曲线螺旋运动已集成到基本MOWCA中，以在整个搜索空间中引导代理。因此，在这种双曲线螺旋运动下，提出的MOSWCA的开发能力得到了提高。为了评估MOSWCA的鲁棒性和一致性，在一些多目标优化基准函数上分析了所提出的MOSWCA的性能。以及三个桁架结构优化问题。通过MOSWCA获得的所有测试问题的结果，与文献中报道的各种多目标元启发式算法进行了比较。从经验结果来看，很明显，所提出的方法在解决多目标优化和桁架优化问题时达到了优异的性能。