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本文以含2条平行路径的交通网络为例,探讨了网络交通流逐日动态演化问题.首先,建立了动态系统模型来刻画网络交通流的演化过程,动态系统模型的不动点就是随机用户平衡解,证明了平衡解存在且唯一.然后,根据非线性动力学理论,推导出了网络交通流演化的稳定性条件.其次,通过数值实验,分析了网络交通流的演化特征,发现了在一定条件下流量的周期振荡和混沌现象.最后,以OD需求为控制变量推导出了网络交通流混沌控制的方法.
In this paper, a traffic network with two parallel paths is taken as an example to discuss the daily dynamic evolution of network traffic flow.Firstly, a dynamic system model is established to characterize the evolution of network traffic flow. The fixed point of the dynamic system model is the stochastic user balance And prove that the equilibrium solution exists and is unique.Accordingly, according to the nonlinear dynamics theory, the stability conditions of the network traffic flow evolution are deduced.Secondly, by numerical experiments, the evolution characteristics of the network traffic flow are analyzed and found that in a certain The periodic oscillation and chaos of the traffic flow are obtained.Finally, the method of chaos control of network traffic flow is deduced based on the OD demand as the control variable.