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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.
Firstly, a dynamic system model is built to describe the evolution of traffic distribution. The model describes the day-by-day dynamic adjustment of path traffic and its steady-state corresponds to the Logit random user equilibrium. Then some characteristics of the model are analyzed, including The stability of the model and the equilibrium of the stochastic user equilibrium, the uniqueness of the stability point of the model and the convergence of the model.The proposed model is characterized as a discrete dynamical system with a general form, and one is given Finally, a numerical example is given to illustrate the application and properties of the dynamic system model. This study helps to better understand the dynamic day-to-day adjustment of the route traffic.