首页|求解约束多目标优化问题的一种Barzilai-Borwein投影梯度法研究

求解约束多目标优化问题的一种Barzilai-Borwein投影梯度法研究

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基于Barzilai-Borwein规则使用不同的平衡因子来调节目标函数之间的平衡性,减少多目标投影梯度算法受目标函数之间不平衡的影响,提出了一种Barzilai-Borwein投影梯度法(BBPMG法).在一定的假设条件下,BBPGM法具有良好的收敛性.同时对BBPGM法进行大量的数值试验,结果表明BBPGM法具有更好的数值性能.
A Study on Barzilai Borwein Projection Gradient Algorithmfor Solving Constrained Multi-objective Optimization Problems
Based on Barzilai-Borwein rule,this study proposes a Barzilai-Borwein projection gradient method(BBPGM)that uses different balancing factors to adjust the balance among objective functions,thereby reducing the impact of imbalance between objective functions on the multiobjective projection gradient algorithm.Under certain assumptions,the BBPGM method exhibits good convergence properties.A large number of numerical experiments are also conducted on the BBPGM method,and the results show that the BBPGM method has better numerical performance.

constrained multiobjective optimization problemsprojective gradient algorithmBarzilai-Borwein ruleconvergence

张丹、刘宝钰

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重庆师范大学重庆国家应用数学中心,重庆沙坪坝 401331

约束多目标优化问题 投影梯度算法 Barzilai-Borwein规则 收敛性

2024

商洛学院学报
商洛学院

商洛学院学报

影响因子:0.412
ISSN:1674-0033
年,卷(期):2024.38(6)