Vector network equilibrium problems and nonlinear scalarization methods

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	Vector network equilibrium problems and nonlinear scalarization methods
	Chen, GY ; Goh, CJ ; Yang, XQ
	1999
发表期刊	MATHEMATICAL METHODS OF OPERATIONS RESEARCH
ISSN	1432-2994
卷号	49 期号:2 页码:239-253
摘要	The conventional equilibrium problem found in many economics and network models is based on a scalar cost, or a single objective. Recently, equilibrium problems based on a vector cost, or multicriteria, have received considerable attention. In this paper, we study a scalarization method for analyzing network equilibrium problems with vector-valued cost function. The method is based on a strictly monotone function originally proposed by Gerstewitz. Conditions that are both necessary and sufficient for weak vector equilibrium are derived, with the prominent feature that no convexity assumptions are needed, in contrast to other existing scalarization methods.
关键词	multicriteria network equilibrium scalarization methods strictly monotone functions variational inequalities
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:000080032300004
出版者	PHYSICA VERLAG GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14121
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, XQ
作者单位	1.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong 2.Univ Western Australia, Dept Math, Nedlands, WA 6907, Australia 3.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, GY,Goh, CJ,Yang, XQ. Vector network equilibrium problems and nonlinear scalarization methods[J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH,1999,49(2):239-253.
APA	Chen, GY,Goh, CJ,&Yang, XQ.(1999).Vector network equilibrium problems and nonlinear scalarization methods.MATHEMATICAL METHODS OF OPERATIONS RESEARCH,49(2),239-253.
MLA	Chen, GY,et al."Vector network equilibrium problems and nonlinear scalarization methods".MATHEMATICAL METHODS OF OPERATIONS RESEARCH 49.2(1999):239-253.