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 Vector network equilibrium problems and nonlinear scalarization methods Chen, GY; Goh, CJ; Yang, XQ 1999 Source Publication MATHEMATICAL METHODS OF OPERATIONS RESEARCH ISSN 1432-2994 Volume 49Issue:2Pages:239-253 Abstract 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. Keyword multicriteria network equilibrium scalarization methods strictly monotone functions variational inequalities Language 英语 WOS Research Area Operations Research & Management Science ; Mathematics WOS Subject Operations Research & Management Science ; Mathematics, Applied WOS ID WOS:000080032300004 Publisher PHYSICA VERLAG GMBH Citation statistics Cited Times:47[WOS]   [WOS Record]     [Related Records in WOS] Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/14121 Collection 中国科学院数学与系统科学研究院 Affiliation 1.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong2.Univ Western Australia, Dept Math, Nedlands, WA 6907, Australia3.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China Recommended CitationGB/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.
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