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考虑驾驶员的预估效应对车流的影响,提出了一个改进的一维交通流格子模型.基于线性稳定性理论得到了该模型的线性稳定性判据;运用非线性分析方法导出了描述交通阻塞相变时的mKdV方程.应用数值仿真验证了mKdV方程的解,研究表明适当考虑车流中预估效应的作用能够增强交通流稳定性,从而能有效抑制交通阻塞的形成.
Considering the influence of the driver’s estimated effect on the traffic flow, an improved one-dimensional traffic flow lattice model is proposed. Based on the linear stability theory, the linear stability criterion of the model is obtained. By using the nonlinear analysis method, The mKdV equation of phase transition is obtained.The numerical solution is used to verify the solution of mKdV equation. The results show that proper consideration of the predicted effect in traffic flow can enhance the stability of traffic flow, and can effectively suppress the formation of traffic jam.