Solving a type of biobjective bilevel programming problem using NSGA-II
文献类型:期刊论文
作者 | Li, Minqiang2; Lin, Dan1; Wang, Shouyang3![]() |
刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
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出版日期 | 2010 |
卷号 | 59期号:2页码:706-715 |
关键词 | Bilevel programming Two-level optimization Multiobjective evolutionary algorithms Decision-making Bargaining |
ISSN号 | 0898-1221 |
DOI | 10.1016/j.camwa.2009.10.022 |
英文摘要 | This paper considers a type of biobjective bilevel programming problem, which is derived from a single objective bilevel programming problem via lifting the objective function at the lower level up to the upper level. The efficient solutions to such a model can be considered as candidates for the after optimization bargaining between the decision-makers at both levels who retain the original bilevel decision-making structure. We use a popular multiobjective evolutionary algorithm, NSGA-II, to solve this type of problem. The algorithm is tested on some small-dimensional benchmark problems from the literature. Computational results show that the NSGA-II algorithm is capable of solving the problems efficiently and effectively. Hence, it provides a promising visualization tool to help the decision-makers find the best trade-off in bargaining. (C) 2009 Elsevier Ltd. All rights reserved. |
资助项目 | National Science Foundation of China for Distinguished Young Scholars[70925005] ; SRF for ROCS, SEM |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000278887600011 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11214] ![]() |
专题 | 系统科学研究所 |
通讯作者 | Lin, Dan |
作者单位 | 1.Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China 2.Tianjin Univ, Sch Management, Tianjin 300072, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Minqiang,Lin, Dan,Wang, Shouyang. Solving a type of biobjective bilevel programming problem using NSGA-II[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2010,59(2):706-715. |
APA | Li, Minqiang,Lin, Dan,&Wang, Shouyang.(2010).Solving a type of biobjective bilevel programming problem using NSGA-II.COMPUTERS & MATHEMATICS WITH APPLICATIONS,59(2),706-715. |
MLA | Li, Minqiang,et al."Solving a type of biobjective bilevel programming problem using NSGA-II".COMPUTERS & MATHEMATICS WITH APPLICATIONS 59.2(2010):706-715. |
入库方式: OAI收割
来源:数学与系统科学研究院
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