此篇文章为 M. Ming, A. Trivedi, R. Wang, D. Srinivasan and T. Zhang, "A Dual-Population-Based Evolutionary Algorithm for Constrained Multiobjective Optimization," in IEEE Transactions on Evolutionary Computation, vol. 25, no. 4, pp. 739-753, Aug. 2021, doi: 10.1109/TEVC.2021.3066301. 的论文学习笔记,只供学习使用,不作商业用途,侵权删除。并且本人学术功底有限如果有思路不正确的地方欢迎批评指正!
Alg-saPF-2: 它根据不可行解的约束违反值和目标函数值来修改不可行解的目标函数值,其中一个从当前种群反馈的可行性比率用于保持搜索平衡。具体而言,解 x 的第 k 维的修正目标函数值计算如下:
7. EFFECTIVENESS OF THE bCAD FITNESS FUNCTION
为了说明 bCAD 适应度函数的有效性,本节提供了 c-DPEA 及其仅使用 Rc 或 Rd 的变体获得的 GD 和 DM 值,即分别介绍了 c-DPEA-Rc 和 c-DPEA-Rd在论文的 V-D 部分。表 V 总结了 31 次独立运行的 GD 和 DM 结果(包括平均值和标准偏差)。Herein, the non-parametric Wilcoxon-ranksum two-sided comparison procedure [7] at the 95% confidence level is employed to examine whether the results are significantly different or not. The symbol ‘+’, ‘−’, or ‘≈’ means that the corresponding variant is better than, worse than, or comparable to c-DPEA.
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