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多目标规划的ακ-较多有效解的几何特性
引用本文:杨万铨. 多目标规划的ακ-较多有效解的几何特性[J]. 高等学校计算数学学报, 2003, 25(4): 378-384
作者姓名:杨万铨
作者单位:温州大学数学与信息科学学院,温州325027
基金项目:国家自然科学基金(批准号:70071026),浙江省自然科学基金(101027)
摘    要:In this paper, with the help of properties of P-linear below bounded points, tangent cones, cone k-interior points, projective cones, the geometric char-acterizations of ακ-major efficient solutions and ακ-major optimality solutions of multiobjective programming are obtained.

关 键 词:多目标规划 ακ-较多有效解 几何特性 ακ-较多最优解
修稿时间:2002-09-22

GEOMETRIC CHARACTERIZATIONS OF THE aK-MAJOR EFFICIENT SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING
Yang Wanquan. GEOMETRIC CHARACTERIZATIONS OF THE aK-MAJOR EFFICIENT SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING[J]. Numerical Mathematics A Journal of Chinese Universities, 2003, 25(4): 378-384
Authors:Yang Wanquan
Abstract:In this paper, with the help of properties of P-linear below bounded points, tangent cones, cone k-interior points, projective cones, the geometric characterizations of afc-major efficient solutions and afc-major optimality solutions of multiobjective programming are obtained.
Keywords:multiobjective programming   ak-inajor efficient solutions   p-linear below bounded points   cone -interion point   tangent cones projective cones
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