| 一类二层凸规划的对偶二层规划 |
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| 引用本文： | 滕春贤,陈东彦.一类二层凸规划的对偶二层规划[J].数学的实践与认识,2003,33(5):91-95. |
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| 作者姓名： | 滕春贤 陈东彦 |
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| 作者单位： | 1. 哈尔滨理工大学系统工程研究所,黑龙江,哈尔滨,150080
2. 哈尔滨理工大学应用数学系,黑龙江,哈尔滨,150080 |
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| 基金项目： | 国家自然科学基金资助项目 ( 70 1 71 0 5 0 ) ( 69874 0 0 9) |
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| 摘 要： | 本文讨论上层目标函数以下层子系统目标函数的最优值作为反馈的一类二层凸规划的对偶规划问题 ,在构成函数满足凸连续可微等条件的假设下 ,建立了二层凸规划的 Lagrange对偶二层规划 ,并证明了基本对偶定理 .
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| 关 键 词： | 二层凸规划 Lagrange对偶二层规划 构成函数 |
| 修稿时间： | 2003年1月19日 |
Duality Programmingfor A Class of Two-Level Convex Programming |
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| TENG Chun-xian,CHEN Dong-yan.Duality Programmingfor A Class of Two-Level Convex Programming[J].Mathematics in Practice and Theory,2003,33(5):91-95. |
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| Authors: | TENG Chun-xian CHEN Dong-yan |
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| Institution: | TENG Chun-xian1,CHEN Dong-yan2 |
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| Abstract: | In this paper, we consider the duality programming problem for a class of two-level convex programming, that the upper-level objective function is defined by the optimal value of the objective functions for the lower-level subsystems. Under some assumptions that form functions are convex and continuously differentiable, we established the Lagrange duality programming for the two-level convex programming and proved the basic duality theorems. |
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| Keywords: | two-level convex programming lagrange duality programming form functions |
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