有限多类别交通网络的扩展Wardrop均衡
Extended Wardrop Equilibrium in Finite Multiclass Traffic Network
摘要
研究有容量约束的交通网络中有限多类别用户的扩展Wardrop均衡.证明扩展Wardrop均衡定义的4种等价形式;并利用凸集分离定理得到在一定条件下.定义中A(v)的存在性.A(v)可以看作是一种收费,因而得到了有限多类别的交通网络中收费的存在性.
Extended Wardrop equilibrium of finite multiclass customers in traffic network with capacity constraints is considered. Four Equivalent forms of definition of extended Wardrop equilibrium are proved. By using convex set separation theorem, the existence of A（v） in the definition holds under some conditions. A（v） can be seen as a kind of tolls, so this paper arrive at a conclusion that there exist tolls in finite multiclass traffic network.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第12期175-181,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(71071035)
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