| 一类线性互补约束均衡问题的可行性条件 |
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| 引用本文： | 房明磊,朱志斌,蒋利华,陈萌.一类线性互补约束均衡问题的可行性条件[J].淮南工业学院学报,2010(2):64-66. |
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| 作者姓名： | 房明磊 朱志斌 蒋利华 陈萌 |
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| 作者单位： | [1]安徽理工大学理学院,安徽淮南232001 [2]桂林电子科技大学数学与计算科学学院,广西桂林541004 [3]安徽师范大学数学计算机学院,安徽芜湖241000 |
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| 基金项目： | 国家自然科学基金资助项目（10501009）; 广西自然科学基金资助项目（0728206）; 安徽自然科学基金资助项目（KJ2009B072Z KJ2009B031Z）; 高校省级优秀青年人才基金资助项目（2009SQRZ054） |
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| 摘 要： | 均衡约束优化是近年来运筹学领域中的一个热点问题,在许多领域中都有着广泛的应用。研究均衡约束优化问题的可行性条件,讨论其中带线性关联约束的一类MPEC的可行性问题,提出了两个假设,基于该假设条件,证明线性互补约束的MPEC问题是可行的。
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| 关 键 词： | 均衡问题 可行性条件 线性互补约束 对偶锥 |
Feasibility Conditions of A Class of Mathematical Programs with Linear Complementarity Constraints |
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| FANG Ming-lei,ZHU Zhi-bin,JIANG Li-hua,CHEN Meng.Feasibility Conditions of A Class of Mathematical Programs with Linear Complementarity Constraints[J].Journal of Huainan Institute of Technology(Natural Science),2010(2):64-66. |
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| Authors: | FANG Ming-lei ZHU Zhi-bin JIANG Li-hua CHEN Meng |
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| Affiliation: | 1.School of Science,Anhui University of Science and Technology,Huainan Anhui,232001,China;2.School of Mathematics and Computational Sciences,Guilin University of Electronic Technology,Guilin Guangxi,541004,China;3.College of Mathe matics and Compater Science,Anhui Normar Vniversity,Anhui Wuhu,241000,China) |
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| Abstract: | Mathematical programs with equilibrium constraints（MPEC for short） have become a focus in operational research and are widely applied in many fields.This article studies feasibility conditions in mathematical program with equilibrium constraints,discusses the feasibility of a class of MPECs with additional joint linear constraints.Two assumptions are proposed.Based on such assumptions,we prove that the mathematical programs with linear complementarity constraints are feasible. |
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| Keywords: | equilibrium constraints feasibility conditions linear complementarity constraints dual cone |
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