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一致不变凸多目标规划的有效性条件和对偶性
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)
作者姓名:梁治安  张振华
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
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 
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.

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
Liang Zhi'an,Zhang Zhenhua. The Efficiency Conditions and Duality for Uniform Invex Multiobjective Program[J]. OR Transactions, 2009, 13(1)
Authors:Liang Zhi'an  Zhang Zhenhua
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.
Keywords:Operations research  multiobjective program  generalized convexity  Mond-Weir type dual model
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