| 一类非光滑多目标规划的K-T必要条件 |
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| 引用本文： | 罗和治,吴惠仙.一类非光滑多目标规划的K-T必要条件[J].运筹学学报,2003,7(4):62-68. |
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| 作者姓名： | 罗和治 吴惠仙 |
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| 作者单位： | 1. 浙江工业大学应用数学系,杭州,310032
2. 杭州电子工业学院文理学院,杭州,310037 |
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| 摘 要： | 本文对一类由可微函数与凸函数之和形式组成目标函数的多目标规划，分别在Kuhn-Tucker约束品性和Arrow—Hurwicz—Uzawa约束品性下，给出了其弱有效解的K—T必要条件，并给出了其特例(目标函数含||Bx||p的情形)的K—T必要条件，从而推广和改进了已有的结果。
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| 关 键 词： | 多目标规划 可微函数 凸函数 Kuhn-Tucker约束品性 Arrow-Hurwicz-Uzawa约束品性 |
| 修稿时间： | 2001年4月3日 |
K-T Necessary Conditions for a Class of Nonsmooth Multiobjective Programming |
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| HEZHI LUO HUIXIAN WU.K-T Necessary Conditions for a Class of Nonsmooth Multiobjective Programming[J].OR Transactions,2003,7(4):62-68. |
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| Authors: | HEZHI LUO HUIXIAN WU |
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| Institution: | HEZHI LUO HUIXIAN WU Department of Applied mathematics,Zhejiang University of Technology,Hangzhou 310032,China.
The School of Science and Arts,Hangzhou Institute of
Electronics Engineering,Hangzhou 310037,China. |
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| Abstract: | In this paper, for a class of nonsmooth multiobjective programming where the objective functions consist of the differentible function and the convex function, we presented the K-T necessary conditions of its weekly efficient solutions under the Kuhn-Tucker constraint qualification and Arrow-Hurwicz-Uzawa constraint qualification respectively, and gave the K-T necessary conditions of its special case with the norm ||Bx||p in the objective function. Then the results in this paper generalized and improved the relavant ones appeared before. |
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| Keywords: | OR nonsmooth multiobjective programming K-T necessary condition constraint qualification weekly efficient solution |
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