摘要
研究一种具有多个决策者卷入、各决策者的目标不止一个、决策者之间存在二层递阶关系系统——双层多目标规划问题.给出双层多目标决策问题数学模型的一种解决方法,把带权极大模理想点法和Kuhn-Tucker条件结合起来,从而把双层多目标规划问题转化为单层单目标约束规划问题,进而求得原问题的弱有效解.
The present paper covers a research on a two level system with several interconnected decision makers based on the Stackelberg leader-follower game. It contains many decision makers, each of them has more than one object-bilevel multiobjective decision making. An algorithm is given to solve a mathematical model of bilevel multiobjective decision making. Via connecting the maximal module ideal point algorithm with the (power) coefficient under Kuhn-Tucker condition, the bilevel multiobjective programming problem is changed to a singular-level singular-objective constraint programming problem. Then the weak efficient solution of the (problem) can be aquired.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2005年第4期417-421,共5页
Journal of Jilin University:Science Edition
基金
教育部科学技术研究重点项目基金(批准号:02089).
关键词
双层规划
极大模
理想点
<Keyword>bilevel programming
maximal module
ideal point
