Vector network equilibrium problems and nonlinear scalarization methods
文献类型：期刊论文
| 作者 | Chen, GY; Goh, CJ; Yang, XQ |
| 刊名 | MATHEMATICAL METHODS OF OPERATIONS RESEARCH
 |
| 出版日期 | 1999 |
| 卷号 | 49期号:2页码:239-253 |
| 关键词 | multicriteria network equilibrium scalarization methods strictly monotone functions variational inequalities |
| ISSN号 | 1432-2994 |
| 英文摘要 | 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. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000080032300004 |
| 出版者 | PHYSICA VERLAG GMBH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14120]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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