二层多随从线性规划的几何性质和最优化条件  

Geometric Properties and Optimality Conditions for Linear Bilevel Programming Problem with Multiple Followers

作　　者：邓胜岳[1] 成央金[2] 马宗刚[3] 

机构地区：[1]湖南工业大学理学院,湖南株洲412008 [2]湘潭大学数学与计算科学学院,湖南湘潭411105 [3]湖南大学工商管理学院,湖南长沙410082

出　　处：《湖南工业大学学报》2008年第6期6-9,共4页Journal of Hunan University of Technology

摘　　要：介绍了二层多随从线性规划中下层随从不合作的模型,在约束集为非空有界的前提下,讨论了可行集的几何性质,并利用线性规划对偶理论的基本性质,得到了两个最优化条件。A model of an uncooperative linear bilevel programming problem with multiple followers is presented. Under the assumption of the nonempty and bounded constrained set, we discussed some geometric properties of the feasible set, and obtained two optimality conditions by some basic properties of the linear programming＇s duality theory.

关 键 词：二层线性规划 对偶理论 最优化条件 

分 类 号：O221.1[理学—运筹学与控制论]