A note on vector network equilibrium principles

doi:10.1007/s00186-006-0089-x

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	A note on vector network equilibrium principles
	Li, S. J.; Yang, X. Q.; Chen, G. Y.
	2006-10-01
发表期刊	MATHEMATICAL METHODS OF OPERATIONS RESEARCH
ISSN	1432-2994
卷号	64 期号:2 页码:327-334
摘要	An example is given to show that the necessary conditions of Theorem 4.5 [in Chen et al. Math Methods Oper Res 49:239-253, 1999] and Theorem 2.1 (i) [in Goh and Yang Eur J Oper Res 116:615-628, 1999] for (weak) vector equilibrium flows may not hold. New xi-equilibrium and parametric equilibrium flows are introduced. As a result, necessary and sufficient conditions between a weak vector equilibrium flow and an xi-equilibrium flow and between a vector equilibrium flow and a parametric equilibrium flow are established.
关键词	vector traffic network equilibrium model (weak) vector equilibrium weak xi-equilibrium weak parametric equilibrium
DOI	10.1007/s00186-006-0089-x
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:000240797100009
出版者	PHYSICA-VERLAG GMBH & CO
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2690
专题	中国科学院数学与系统科学研究院
通讯作者	Li, S. J.
作者单位	1.Chongqing Univ, Coll Math & Sci, Chongqing 400044, Peoples R China 2.Hong Kong Polytech Univ, Dept Math Appl, Kowloon, Hong Kong, Peoples R China 3.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, S. J.,Yang, X. Q.,Chen, G. Y.. A note on vector network equilibrium principles[J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH,2006,64(2):327-334.
APA	Li, S. J.,Yang, X. Q.,&Chen, G. Y..(2006).A note on vector network equilibrium principles.MATHEMATICAL METHODS OF OPERATIONS RESEARCH,64(2),327-334.
MLA	Li, S. J.,et al."A note on vector network equilibrium principles".MATHEMATICAL METHODS OF OPERATIONS RESEARCH 64.2(2006):327-334.