| 一类二次二层规划的平衡点算法 |
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| 引用本文： | 郑寒凝,张圣贵.一类二次二层规划的平衡点算法[J].漳州师院学报,2009(4):1-8. |
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| 作者姓名： | 郑寒凝 张圣贵 |
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| 作者单位： | 福建师范大学数学与计算机科学学院,福建福州350007 |
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| 摘 要： | Manoel Campelo借助线性规划的单纯形算法,给出了求解线性二层规划的平衡点算法.本文借助线性规划的单纯形法和二次规划的Lemke算法,给出求解一类非线性二层规划的平衡点算法,并给出算例说明算法可行性.
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| 关 键 词： | 非线性二层规划 平衡点 单纯形法 Lemke方法 |
Algorithm for a Nonlinearly Bilevel Program by Equilibrium Points |
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| ZHENG Han-ning,ZHANG Sheng-gui.Algorithm for a Nonlinearly Bilevel Program by Equilibrium Points[J].Journal of ZhangZhou Teachers College(Philosophy & Social Sciences),2009(4):1-8. |
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| Authors: | ZHENG Han-ning ZHANG Sheng-gui |
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| Institution: | (School of Mathmatics and Computer Science, Fujian Normal University, Fuzhou, Fujian 350007, China) |
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| Abstract: | By means of the simplex algorithm for the linear program,Manoel Campelo gave an algorithm for a linearly bilevel program by equilibrium points.Here by means of the simplex algorithm for the linear program and Lemke algorithm for the quadratic program,we present an algorithm for another kind of nonlinearly bilevel program by equilibrium points and give an example to show feasibility of the algorithm. |
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| Keywords: | nonlinearly bilevel program equilibrium points simplex method Lemke algorithm |
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