考虑换乘费用的城市公交网络随机用户均衡配流模型及算法

文章在引用增广公交网络的基础上，考虑换乘次数对乘客出行时间的影响，引入换乘次数惩罚因子，给出了计算换乘费用的方法，并给出了乘客在公交出行中包括步行时间、等待时间、乘车时间和换乘时间以及换乘惩罚在内的路径费用. 在此基础上，构建了随机用户均衡模型来描述城市公交O-D需求在网络上的分配问题，证明了模型的最优解满足平衡条件，采用改进的MSA算法对模型进行求解. 最后，用一个简单算例验证了模型及算法的可行性和有效性.

A stochastic user equilibrium model and algorithm for urban transit network with transfer cost

This paper considered the impact of transfer times on passengers' travel costs by defining the transfer penalty factor. Different with the traditional studies, the transit assignment model was formulated based on the augmented transit network. The passengers' travel costs including walking time, waiting time, in-vehicle time and transfer time was proposed while the transfer penalty factor was also taken into account. On the base of these, a stochastic user equilibrium model for the urban transit assignment problem was then presented with the proof of its equilibrium condition. At the same time, the MSA algorithm was used to solve it. Finally, a numerical example was provided to illustrate the approach.