| 交互式增广加权范数法及其应用 |
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| 引用本文： | 杨润泽. 交互式增广加权范数法及其应用[J]. 军械工程学院学报, 1994, 0(2) |
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| 作者姓名： | 杨润泽 |
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| 作者单位： | 金属工艺教研室 |
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| 摘 要： | 本文提出利用增广加权范数把多目标优化问题转化为标量优化问题,证明了转化后的问题与原问题完全等价,同时给出了目标函数值与权系数的关系,建立了以目标函数值作为交互媒介的多目标优化方法,最后给出了应用该方法的一个实例。
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| 关 键 词： | 多目标优化 交互式方法 增广加权范数 |
INTERACTIVE AUGMENTED WEIGHTED TCHEBYCHEFF NORM METHOD AND ITS APPLICATION |
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| Yang Runze. INTERACTIVE AUGMENTED WEIGHTED TCHEBYCHEFF NORM METHOD AND ITS APPLICATION[J]. Journal of Ordnance Engineering College, 1994, 0(2) |
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| Authors: | Yang Runze |
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| Affiliation: | Teaching and Research Section of Metal Processing |
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| Abstract: | This paper presents a interactive method for multiobjective optimization problems. The aug-mented weighted Tchebycheff norm is used to translate vector optimization into scalar optimization, and it is proved that the translation is equal to the original. The relationship be-tween the values of objective functions and the weight factors is set up, and the optimization method for MOP is presented with the values of objective functions as the interactive medium. In the end, the paper gives the application of the method to a gear reducer's MOP. |
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| Keywords: | multiobjective optimization interactive method augmented weighted norm. |
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