| 用带权极大模理想点法求解多目标双层规划问题 |
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| 引用本文： | 姜志侠,成丽波,刘宇宁.用带权极大模理想点法求解多目标双层规划问题[J].吉林大学学报(理学版),2005,43(4):417-421. |
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| 作者姓名： | 姜志侠 成丽波 刘宇宁 |
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| 作者单位： | 长春理工大学,应用数学系,长春,130022;长春中联软件公司,长春,130022 |
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| 基金项目： | 教育部科学技术研究重点项目基金(批准号:02089). |
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| 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.
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| 关 键 词： | 双层规划 极大模 理想点 |
| 文章编号： | 1671-5489(2005)04-0417-05 |
| 收稿时间： | 2004-10-14 |
| 修稿时间： | 2004年10月14 |
Solution of Multiobjective Bilevel Programming Problems by Maximal Module Ideal Point Algorithm with Power |
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| JIANG Zhi-xia,CHENG Li-bo,Liu Yu-ning.Solution of Multiobjective Bilevel Programming Problems by Maximal Module Ideal Point Algorithm with Power[J].Journal of Jilin University: Sci Ed,2005,43(4):417-421. |
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| Authors: | JIANG Zhi-xia CHENG Li-bo Liu Yu-ning |
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| Institution: | 1. Department of Applied Mathematics, Changchun University of Science and Techn ology, Changchun 130022, China; 2. Changchun Vanda Software Group, Changchun 130022, China |
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| Abstract: | 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. |
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| Keywords: | bilevel programming maximal module ideal point |
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