| 广义多目标minmax问题的最优性条件和极大熵方法 |
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| 引用本文： | 刘三明,冯恩民.广义多目标minmax问题的最优性条件和极大熵方法[J].运筹与管理,2005,14(6):19-22,28. |
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| 作者姓名： | 刘三明 冯恩民 |
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| 作者单位： | 1. 江苏科技大学,数理系,江苏,镇江,212003
2. 大连理工大学,应用数学系,辽林,大连,116023 |
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| 基金项目： | 固家自然科学基金资助项目（19871009） |
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| 摘 要： | 本文讨论了广义多目标minmax问题的最优性条件。利用极大熵逼近函数，研究了广义多目标minmax；问题的逼近问题，在较弱的条件下，证明了由极大熵逼近函数导出的多目标逼近问题的临界点的任一极限点均为原广义多目标minmax问题的临界点。
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| 关 键 词： | 运筹学 广义多目标minmax问题 极大熵方法 最优性条件 |
| 文章编号： | 1007-3221（2005）06-0019-04 |
| 收稿时间： | 03 18 2005 12:00AM |
| 修稿时间： | 2005-03-18 |
The Optimality Conditions and the Maximum Entropy Method for the Generalized Multiobjective Minmax Problem |
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| LIU San-ming,FENG Ee-MIN.The Optimality Conditions and the Maximum Entropy Method for the Generalized Multiobjective Minmax Problem[J].Operations Research and Management Science,2005,14(6):19-22,28. |
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| Authors: | LIU San-ming FENG Ee-MIN |
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| Institution: | 1. Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjing 212003, China ; 2. Department of Applied Mathematics, Dalian University of Technology, Dalian 116023, China |
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| Abstract: | In this paper, the optimality conditions for the generalized multiobjective minimax problem are derived. Based on the maximum entropy principle, the approximating problem for the generalized multiobjective minmax problem is discussed. It is proved that any limit point of the critical point of the approximating problem is the critical point of the generalized mulitiobjective minmax problem under weaker conditions. |
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| Keywords: | operations research generalized multiobjective minimax problem maximum entropy method optimality condition |
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