Exact penalty functions for convex bilevel programming problems

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	Exact penalty functions for convex bilevel programming problems
	Liu, GS ; Han, JY ; Zhang, JZ
	2001-09-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	110 期号:3 页码:621-643
摘要	In this paper, we propose a new constraint qualification for convex bilevel programming problems. Under this constraint qualification, a locally and globally exact penalty function of order I for a single-level reformulation of convex bilevel programming problems is given without requiring the linear independence condition and the strict complementarity condition to hold in the lower-level problem. Based on these results, locally and globally exact penalty functions for two other single-level reformulations of convex bilevel programming problems can be obtained. Furthermore, sufficient conditions for partial calmness to hold in some single-level reformulations of convex bilevel programming problems can be given.
关键词	bilevel programming problems constraint qualifications exact penalty functions reformulations partial calmness
语种	英语
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000171212900008
出版者	KLUWER ACADEMIC/PLENUM PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16085
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, GS
作者单位	1.Renmin Univ China, Sch Business Adm, Beijing, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China 3.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Liu, GS,Han, JY,Zhang, JZ. Exact penalty functions for convex bilevel programming problems[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2001,110(3):621-643.
APA	Liu, GS,Han, JY,&Zhang, JZ.(2001).Exact penalty functions for convex bilevel programming problems.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,110(3),621-643.
MLA	Liu, GS,et al."Exact penalty functions for convex bilevel programming problems".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 110.3(2001):621-643.