二次双级规划的几何特性与最优性条件  

Geometric Characteristics and Optimality Conditions of Quadratic Bilevel Programming Models

作　　者：李智慧[1] 滕春贤[1] 李磊[1] 李皓白[1] 

机构地区：[1]哈尔滨理工大学

出　　处：《系统工程理论与实践》1999年第1期22-26,33,共6页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金

摘　　要：双级规划模型能够很好地描述具有层次特性的管理决策系统的优化问题．本文给出了具有广泛代表性的一类二次双级规划模型，讨论了其几何特性，并给出了这类二次双级规划模型解的最优性条件．Bilevel programming models can efficiently describe the management decision system with multilevel. In this paper, we introduce a class of quadratic bilevel programming models, which have extensive representativeness, and discuss their geometric characteristics. In the end, we give optimality conditions of the quadratic bilevel programming models.

关 键 词：双级规划 最优性条件 极点 连通性 线性规划 

分 类 号：O221.1[理学—运筹学与控制论]