基于随机用户均衡的交通配流演化动态系统模型

首先提出一个刻画交通配流演化的动态系统模型.该模型描述了路径流量日复一日的动态调整过程,而且其稳定状态对应于Logit随机用户均衡状态.随后分析了该模型的几个特征,包括模型稳定状态与随机用户均衡状态的等价性、模型稳定点的唯一性和模型收敛性.所提出模型被刻画作一个离散的动态系统,且具有一般的形式,文中也给出了它的一个具体形式.最后,利用一个数值算例对该动态系统模型的应用及性质进行了说明.该研究有助于更好地理解路径流量日复一日的动态调整过程.

A dynamical system model of formulating day-to-day traffic assignment based on stochastic user equilibrium

We propose a dynamical system model to formulate day-to-day traffic assignment. This model describes the dynamic adjustment process of route flows from day to day and its stationary state is equivalent to the Logit stochastic user equilibrium state. We also analyze several properties of the model, including the equivalence between the stationary state and user equilibrium state and the uniqueness and convergence of its stationary point. The model is given in discrete and general form and hence we introduce a special case of the model. Finally, we apply the model to a numerical example to illustrate its application and properties. The study is helpful for better understanding the adjustment process of route flows from day to day.