双层规划的递阶交互决策有效化方法  

An Hierarchical Interactive Decision Making Method for Bilevel Programming

作　　者：刘红英[1] 

机构地区：[1]北京航空航天大学理学院,北京100083

出　　处：《应用数学》2005年第3期333-338,共6页Mathematica Applicata

摘　　要：本文讨论了协调集上双层规划问题解的性质,所得结论表明上层将所得利益全部让给下层,或下层将所得利益全部让给上层.当决策者不满足此种有效化方式时,必须寻找体现递阶结构的有效化方法.本文给出了一种保持递阶结构的递阶交互决策有效化方法.该方法适用于下层有多个平行子问题的双层线性规划.The bilevel-programming with the hierarchical structure is discussed.In this case,it is indicated that the higher-level or lower-level gives all profits to the other level.However,if decision makers are not satisfied with this method,one should be worked out to present the hierarchical structure.In this paper,an optimization of hierarchical interactive decision making,applicable to the bilevel linear programming with multiple parallel sub-problems in the lower-level,is explored to present the hierarchical structure.

关 键 词：双层规划 多目标规划 有效性 递阶交互决策 

分 类 号：O221[理学—运筹学与控制论]