| 向量优化问题锥有效解的逼近 |
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| 引用本文： | 宋军,龚循华. 向量优化问题锥有效解的逼近[J]. 运筹学学报, 2007, 11(2): 51-58,106 |
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| 作者姓名： | 宋军 龚循华 |
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| 作者单位： | 南昌大学数学系,南昌,330047 |
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| 摘 要： | 本文引进了一种新的锥的扩张方式,并对新的扩张锥和原来的锥的关系作了讨论,借助这种新的概念,在无限维空间中给出了向量优化问题的锥有效解的近似方法．
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| 关 键 词： | 运筹学 向量优化 扩张锥 有效解 逼近 |
| 修稿时间： | 2006-04-30 |
Approximation of the Cone Efficient Solution for Vector Optimization Problem |
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| Song Jun,Gong Xunhua. Approximation of the Cone Efficient Solution for Vector Optimization Problem[J]. OR Transactions, 2007, 11(2): 51-58,106 |
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| Authors: | Song Jun Gong Xunhua |
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| Affiliation: | Department of Mathematics, Nanchang University, Nanchang 330047, China |
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| Abstract: | In this paper,a new style of dilating ordering cone is introduced,and the relationship between this new dilating cone and the original cone is investigated.With the help with the new concept,this paper deals with the method of approximation of cone efficient solution for vector optimization problem in infinite dimension space. |
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| Keywords: | Operations research vector optimization dilating cone efficient solution approximation |
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