| 一致不变凸多目标规划的有效性条件和对偶性 |
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| 引用本文： | 梁治安,张振华. 一致不变凸多目标规划的有效性条件和对偶性[J]. 运筹学学报, 2009, 13(1) |
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| 作者姓名： | 梁治安 张振华 |
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| 作者单位： | 1. 上海财经大学应用数学系,上海,200433
2. 上海财经大学金融学院,上海,200433 |
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| 基金项目： | Ministry of Education of China，国家自然科学基金，Leading Academic Discipline Program，the 10th five year plan of 211 Project for Shanghai University of Finance and Economics |
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| 摘 要： | 作者对多目标规划引进一致不变凸的概念,用来综合规划所涉及函数的不变凸性,而不是用单个函数的不变凸性.考虑了涉及这样函数的多目标规划解的有效性和Mond-Weir对偶性.
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| 关 键 词： | 运筹学 多目标规划 广义凸性 Mond-Weir型对偶模型 |
The Efficiency Conditions and Duality for Uniform Invex Multiobjective Program |
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| Liang Zhi'an,Zhang Zhenhua. The Efficiency Conditions and Duality for Uniform Invex Multiobjective Program[J]. OR Transactions, 2009, 13(1) |
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| Authors: | Liang Zhi'an Zhang Zhenhua |
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| Abstract: | In this paper, the author introduces a uniform invexity concept for multi-objective program which synthesizes the invexity of functions involved in program, instead of using the invexity of every single function. The multiobjective program with such func-tions is considered and efficiency conditions and Mond-Weir dual model are investigated. |
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| Keywords: | Operations research multiobjective program generalized convexity Mond-Weir type dual model |
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