KMS Of Academy of mathematics and systems sciences, CAS
A VECTOR NETWORK EQUILIBRIUM PROBLEM WITH A UNILATERAL CONSTRAINT | |
Wu, Yunan1; Chen, Guangya2; Cheng, T. C. E.3 | |
2010-08-01 | |
发表期刊 | JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION |
ISSN | 1547-5816 |
卷号 | 6期号:3页码:453-464 |
摘要 | We formulate a network equilibrium model with a unilateral constraint based on Wardrop's principle and establish that the model is equivalent to a quasi-variational inequality. For the case with vector cost functions, we use Gerstewitz's function to derive two equivalence relations between the vector network equilibrium model with a unilateral constraint and quasi-variational inequalities without any convexity assumptions |
关键词 | Network equilibrium Variational inequality Wardrop's equilibrium principle |
DOI | 10.3934/jimo.2010.6.453 |
语种 | 英语 |
资助项目 | Program for New Century Excellent Talents in University of China ; National Natural Science Foundation of China[10471142] ; Research Grants Council of Hong Kong[5135/06E] |
WOS研究方向 | Engineering ; Operations Research & Management Science ; Mathematics |
WOS类目 | Engineering, Multidisciplinary ; Operations Research & Management Science ; Mathematics, Interdisciplinary Applications |
WOS记录号 | WOS:000279070500001 |
出版者 | AMER INST MATHEMATICAL SCIENCES |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/9656 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Wu, Yunan |
作者单位 | 1.Beijing Foreign Studies Univ, Sch Int Business, Beijing 100089, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100089, Peoples R China 3.Hong Kong Polytech Univ, Dept Logist & Maritime Studies, Kowloon, Hong Kong, Peoples R China |
推荐引用方式 GB/T 7714 | Wu, Yunan,Chen, Guangya,Cheng, T. C. E.. A VECTOR NETWORK EQUILIBRIUM PROBLEM WITH A UNILATERAL CONSTRAINT[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION,2010,6(3):453-464. |
APA | Wu, Yunan,Chen, Guangya,&Cheng, T. C. E..(2010).A VECTOR NETWORK EQUILIBRIUM PROBLEM WITH A UNILATERAL CONSTRAINT.JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION,6(3),453-464. |
MLA | Wu, Yunan,et al."A VECTOR NETWORK EQUILIBRIUM PROBLEM WITH A UNILATERAL CONSTRAINT".JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION 6.3(2010):453-464. |
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