无限多类别交通网络的扩展Wardrop均衡

Extended Wardrop equilibrium in infinite multiclass traffic network

研究有容量约束的交通网络中无限多类别用户的扩展Wardrop均衡.证明扩展Wardrop均衡定义的3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Λ(v珋)的存在性.Λ(v珋)可以看作是一种收费,因而得到了无限多类别的交通网络中收费的存在性.

Extended Wardrop equilibrium of infinite multiclass customers in traffic network with ca- pacity constraints is considered. Three Equivalent forms of definition of extended Wardrop equilibrium are proved. By using convex set separation theorem, the some conditions. A （v） can be seen as a kind of tolls, existence of A （v） in the definition holds under so this paper arrive at a conclusion that there exist tolls in infinite multiclass traffic network.