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莫阿娜:用于优化问题的多目标蚁巢算法。

MOANA: Multi-objective ant nesting algorithm for optimization problems.

作者信息

Rashed Noor A, Ali Yossra H, Rashid Tarik A, Mirjalili Seyedali

机构信息

Computer Sciences Dept., Univ. of Technology, Baghdad, Iraq.

Computer Sciences & Engineering Dept., Artificial Intelligence Centre and Innovation, Univ. of Kurdistan Hewler, Iraq.

出版信息

Heliyon. 2024 Nov 12;11(1):e40087. doi: 10.1016/j.heliyon.2024.e40087. eCollection 2025 Jan 15.

DOI:10.1016/j.heliyon.2024.e40087
PMID:39811291
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11732603/
Abstract

This paper presents the Multi-Objective Ant Nesting Algorithm (MOANA), a novel extension of the Ant Nesting Algorithm (ANA), specifically designed to address multi-objective optimization problems (MOPs). MOANA incorporates adaptive mechanisms, such as deposition weight parameters, to balance exploration and exploitation, while a polynomial mutation strategy ensures diverse and high-quality solutions. The algorithm is evaluated on standard benchmark datasets, including ZDT functions and the IEEE Congress on Evolutionary Computation (CEC) 2019 multi-modal benchmarks. Comparative analysis against state-of-the-art algorithms like MOPSO, MOFDO, MODA, and NSGA-III demonstrates MOANA's superior performance in terms of convergence speed and Pareto front coverage. Furthermore, MOANA's applicability to real-world engineering optimization, such as welded beam design, showcases its ability to generate a broad range of optimal solutions, making it a practical tool for decision-makers. MOANA addresses key limitations of traditional evolutionary algorithms by improving scalability and diversity in multi-objective scenarios, positioning it as a robust solution for complex optimization tasks.

摘要

本文提出了多目标蚁巢算法(MOANA),它是蚁巢算法(ANA)的一种新颖扩展,专门设计用于解决多目标优化问题(MOP)。MOANA纳入了诸如沉积权重参数等自适应机制,以平衡探索和利用,同时多项式变异策略确保了多样且高质量的解决方案。该算法在包括ZDT函数和2019年IEEE进化计算大会(CEC)多模态基准在内的标准基准数据集上进行了评估。与MOPSO、MOFDO、MODA和NSGA - III等先进算法的对比分析表明,MOANA在收敛速度和帕累托前沿覆盖率方面具有卓越性能。此外,MOANA在诸如焊接梁设计等实际工程优化中的适用性,展示了其生成广泛最优解的能力,使其成为决策者的实用工具。MOANA通过提高多目标场景下的可扩展性和多样性,解决了传统进化算法的关键局限性,使其成为复杂优化任务的强大解决方案。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/d02ffcb354b0/fx3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/6d2d1030e31b/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/0b25ea6afca3/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/d5bf799aaa65/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/3c8907ec5016/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/a3e107ac93e4/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/10b7a46e23ce/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/983b8ba01ba7/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/317eab62373e/fx1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/f08b5c2c98ba/fx2a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/d02ffcb354b0/fx3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/6d2d1030e31b/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/0b25ea6afca3/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/d5bf799aaa65/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/3c8907ec5016/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/a3e107ac93e4/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/10b7a46e23ce/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/983b8ba01ba7/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/317eab62373e/fx1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/f08b5c2c98ba/fx2a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae7/11732603/d02ffcb354b0/fx3.jpg

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Combining convergence and diversity in evolutionary multiobjective optimization.进化多目标优化中收敛性与多样性的结合
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Comparison of multiobjective evolutionary algorithms: empirical results.多目标进化算法的比较:实证结果
Evol Comput. 2000 Summer;8(2):173-95. doi: 10.1162/106365600568202.