| 线性-二次双层规划的满意解与基于LP与NLP过程的算法 |
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| 引用本文： | 王琦. 线性-二次双层规划的满意解与基于LP与NLP过程的算法[J]. 系统工程理论与实践, 2007, 27(8): 84-91. DOI: 10.12011/1000-6788(2007)8-84 |
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| 作者姓名： | 王琦 |
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| 作者单位： | 广东江门五邑大学,数理系,江门,529020 |
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| 基金项目： | 广东省江门市科技攻关项目 |
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| 摘 要： | 对线性-二次双层规划(简称LQP)模型提出求满意解的直接搜索方法.得到了基于LP与NLP过程来协调LQP上下层满意度与求满意解的算法.数值计算实例表明,算法得到的满意解较之传统最优解更有效.
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| 关 键 词： | 线性-二次双层规划 满意解 LP与NLP过程 |
| 文章编号： | 1000-6788(2007)08-0084-08 |
| 修稿时间： | 2006-03-20 |
The Satisfactory Solution of Linear-Quadratic Bilevel Programming and an Algorithm based on the LP Process and the NLP Process |
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| WANG Qi. The Satisfactory Solution of Linear-Quadratic Bilevel Programming and an Algorithm based on the LP Process and the NLP Process[J]. Systems Engineering —Theory & Practice, 2007, 27(8): 84-91. DOI: 10.12011/1000-6788(2007)8-84 |
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| Authors: | WANG Qi |
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| Abstract: | In this paper,an approach of linearquadratic bilevel programming is presented by searching satisfactory solution directly.An algorithm is proposed based on the LP process and the NLP process.A successful compromise of the satisfactory values between the upper level and the lower level can be obtained by the algorithm.A numerical example is given to show that the satisfactory solution is more effective than the classical optimal solution. |
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| Keywords: | linear-quadratic bilevel programming the satisfactory solution LP process and NLP process |
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