Solving a type of biobjective bilevel programming problem using NSGA-II

doi:10.1016/j.camwa.2009.10.022

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	Solving a type of biobjective bilevel programming problem using NSGA-II
	Li, Minqiang 2; Lin, Dan 1; Wang, Shouyang3
	2010
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	59 期号:2 页码:706-715
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.
关键词	Bilevel programming Two-level optimization Multiobjective evolutionary algorithms Decision-making Bargaining
DOI	10.1016/j.camwa.2009.10.022
语种	英语
资助项目	National Science Foundation of China for Distinguished Young Scholars[70925005] ; SRF for ROCS, SEM
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000278887600011
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11215
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.