变分不等式与互补问题、双层规划与平衡约束数学规划问题的若干进展

被引：10

作者：

黄正海 ^{[1
]}

林贵华 ^{[2
]}

修乃华 ^{[3
]}

机构：

[1] 天津大学理学院数学系

[2] 上海大学管理学院

[3] 北京交通大学理学院数学系

来源：

运筹学学报 | 2014年 / 18卷 / 01期

关键词：

变分不等式; 互补问题; 双层规划; 均衡约束的数学规划问题;

D O I：

10.15960/j.cnki.issn.1007-6093.2014.01.001

中图分类号：

O221 [规划论（数学规划）];

学科分类号：

070105 ; 1201 ;

摘要：

考虑有限维变分不等式与互补问题、双层规划以及均衡约束的数学规划问题.在简单介绍这些问题之后,重点介绍近年来这些领域中发展迅速的几个研究方向,包括对称锥互补问题的理论与算法、变分不等式的投影收缩算法、随机变分不等式与随机互补问题的模型与方法、双层规划以及均衡约束数学规划问题的新方法.最后提出几个进一步研究的方向.

引用

页码：113 / 133

页数：21

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