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A VECTOR NETWORK EQUILIBRIUM PROBLEM WITH A UNILATERAL CONSTRAINT
Wu, Yunan1; Chen, Guangya2; Cheng, T. C. E.3
2010-08-01
Source PublicationJOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
ISSN1547-5816
Volume6Issue:3Pages:453-464
AbstractWe 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
KeywordNetwork equilibrium Variational inequality Wardrop's equilibrium principle
DOI10.3934/jimo.2010.6.453
Language英语
Funding ProjectProgram 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 Research AreaEngineering ; Operations Research & Management Science ; Mathematics
WOS SubjectEngineering, Multidisciplinary ; Operations Research & Management Science ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000279070500001
PublisherAMER INST MATHEMATICAL SCIENCES
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/9656
Collection中国科学院数学与系统科学研究院
Corresponding AuthorWu, Yunan
Affiliation1.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
Recommended Citation
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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