[1]高小妮,孙玉华.一类区间2次-线性双层规划的解法[J].江西师范大学学报(自然科学版),2017,(03):275-279.
 GAO Xiaoni,SUN Yuhua.The Quadratic-Linear Bi-Level Programming with Interval Coefficients[J].,2017,(03):275-279.
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一类区间2次-线性双层规划的解法()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2017年03期
页码:
275-279
栏目:
出版日期:
2017-05-01

文章信息/Info

Title:
The Quadratic-Linear Bi-Level Programming with Interval Coefficients
作者:
高小妮孙玉华
北京科技大学数理学院,北京 100083
Author(s):
GAO XiaoniSUN Yuhua
School of Mathematics and Physics,University of Science and Technology Beijing,Beijing 100083,China
关键词:
2次-线性双层规划 最好最优值 最差最优值 最优值区间
Keywords:
quadratic-linear bi-level programming best optimal objective value worst optimal objective value optimal objective value interval
分类号:
O 221
文献标志码:
A
摘要:
针对上层目标函数含有区间系数的2次-线性双层规划问题,提出了区间2次-线性双层规划的最优值区间的定义,在此基础上把区间2次-线性双层规划模型转化为求解最好最优值和最差最优值的2个确定性模型,进而利用混合整数规划方法求解.最后给出数值算例验证该方法的有效性.
Abstract:
The quadratic-linear bi-level programming model with interval coefficients for upper objective function is studied.Firstly,the definition of the optimal value interval of quadratic-linear bi-level programming with interval coefficients is proposed.Secondly,the quadratic-linear bi-level programming model with interval coefficients is converted into two deterministic models.Then mixed integer programming method is used to solve the best optimal value and worst optimal value.Finally,numerical examples are given to demonstrate the effectiveness of the proposed method.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2016-12-28基金项目:国家自然科学基金(11471010)资助项目.通信作者:孙玉华(1968-),女,河北任丘人,副教授,博士,主要从事最优化理论与应用方面的研究.E-mail:318875341@qq.com
更新日期/Last Update: 1900-01-01