Optimality conditions and geometric properties of a linear multilevel programming problem with dominated objective functions

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	Optimality conditions and geometric properties of a linear multilevel programming problem with dominated objective functions
	Ruan, GZ ; Wang, SY ; Yamamoto, Y ; Zhu, SS
	2004-11-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	123 期号:2 页码:409-429
摘要	In this paper, a model of a linear multilevel programming problem with dominated objective functions (LMPPD( l)) is proposed, where multiple reactions of the lower levels do not lead to any uncertainty in the upper-level decision making. Under the assumption that the constrained set is nonempty and bounded, a necessary optimality condition is obtained. Two types of geometric properties of the solution sets are studied. It is demonstrated that the feasible set of LMPPD( l) is neither necessarily composed of faces of the constrained set nor necessarily connected. These properties are different from the existing theoretical results for linear multilevel programming problems.
关键词	bilevel programming multilevel programming upper semicontinuity connectedness
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:000224912500010
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/19532
专题	中国科学院数学与系统科学研究院
通讯作者	Ruan, GZ
作者单位	1.Xiangtan Univ, Dept Math, Xiangtan, Hunan, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing, Peoples R China 3.Hunan Univ, Sch Business Adm, Changsha, Hunan, Peoples R China 4.Univ Tsukuba, Inst Policy & Planning Sci, Tsukuba, Ibaraki 305, Japan 5.Fudan Univ, Sch Management, Dept Management Sci, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Ruan, GZ,Wang, SY,Yamamoto, Y,et al. Optimality conditions and geometric properties of a linear multilevel programming problem with dominated objective functions[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2004,123(2):409-429.
APA	Ruan, GZ,Wang, SY,Yamamoto, Y,&Zhu, SS.(2004).Optimality conditions and geometric properties of a linear multilevel programming problem with dominated objective functions.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,123(2),409-429.
MLA	Ruan, GZ,et al."Optimality conditions and geometric properties of a linear multilevel programming problem with dominated objective functions".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 123.2(2004):409-429.