A Global Solution Method for Semivectorial Bilevel Programming Problem

被引：4
|
作者：
Zheng, Yue [1 ]
Chen, Jiawei [2 ]
Cao, Xiaogang [3 ]
机构：
[1] Huanggang Normal Univ, Sch Math & Comp Sci, Huanggang 438000, Peoples R China
[2] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[3] Wuhan Text Univ, Sch Management, Wuhan 430073, Peoples R China
来源：
FILOMAT | 2014年 / 28卷 / 08期
基金：
美国国家科学基金会;
关键词：
semivectorial bilevel programming; multi-objective programming; linear programming; global optimization; PENALTY-FUNCTION APPROACH; OPTIMIZATION PROBLEM; LINEAR-PROGRAMS; LOWER LEVEL; VERTICES;
D O I：
10.2298/FIL1408619Z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a class of semivectorial bilevel programming problem. An exact penalty function is proposed for such a problem. Based on this penalty function, an algorithm, which can obtain a global solution of the original problem, is presented. Finally, some numerical results illustrate its feasibility.
引用
收藏
页码：1619 / 1627
页数：9
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