轨道交通随机均衡配流模型和算法

以拥挤条件下的出行阻抗函数为基础,通过引入随机均衡配流条件,构建了Logit形式的Fisk轨道交通随机均衡配流模型.根据模型的特点,以Bregman算法求解模型的拉氏算子为基础,给出了改进的用于求解轨道交通随机均衡配流模型的Frank-wolfe算法.最后通过一个算例说明了算法的有效性和合理性.

Stochastic User Equilibrium Model and Algorithm for Rail Transit

On the basis of passenger impedance functions for congested rail transit,a stochastic user equilibrium condition is introduced to construct the Logit-based Fisk stochastic user equilibrium model.According to characteristics of the model,the Lagrange operators of the model are solved by the Bregman algorithm and thereby a revised Frank-wolfe algorithm is given to solve the rail transit stochastic user equilibrium model.Finally,a numerical example is used to show that the proposed model and algorithm are rational and effective.