| 指数型增广拉格朗日函数在广义半无限规划中的应用 |
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| 引用本文： | 刘芳,王长钰.指数型增广拉格朗日函数在广义半无限规划中的应用[J].经济数学,2007,24(4):420-426. |
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| 作者姓名： | 刘芳 王长钰 |
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| 作者单位： | 曲阜师范大学运筹与管理学院,山东曲阜,273165 |
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| 摘 要： | 本文利用指数型增广拉格朗日函数将一类广义半无限极大极小问题在一定条件下转化为标准的半无限极大极小问题,使它们具有相同的局部与全局最优解.我们给出了两个转化条件:一个是充分与必要条件,另一个是在实际中易于验证的充分条件.通过这种转化,我们给出了广义半无限极大极小问题的一个新的一阶最优性条件.
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| 关 键 词： | 标准半无限规划 广义半无限极大极小规划 增广拉格朗日函数 一阶了优性条件 |
| 修稿时间： | 2007年8月27日 |
ON THE USE OF EXPONENTIAL-TYPE AUGMENTED LAGRANGIAN FUNCTION IN GENERALIZED SEMI-INFINITE MIN-MAX PROGRAMMING |
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| Liu Fang,Wang Changyu.ON THE USE OF EXPONENTIAL-TYPE AUGMENTED LAGRANGIAN FUNCTION IN GENERALIZED SEMI-INFINITE MIN-MAX PROGRAMMING[J].Mathematics in Economics,2007,24(4):420-426. |
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| Authors: | Liu Fang Wang Changyu |
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| Abstract: | Under certain conditions,we ues the exponential-type augmented Lagrangian function to transform a class of generalized semi-infinite min-max problems into common semi-infinte min-max problems,with the same set of local and global solutions.We give two conditions for the transformation.One is a necessary and sufficient condition,the other is a sufficient condition which can be verified easily in practice.From the transformation, we obtain a new first-order optimality condition for this class of generalized semi-infinite min-max problems. |
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| Keywords: | Common semi-infinite programming generalized semi-infinite min-max programming Augmented Lagrangian functions First-order optimality conditions |
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