Lattice models of the optimal traffic current
Lattice models of the optimal traffic current
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DOI：
10.7498/aps.53.25
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发表时间：
2005-04
期刊：
影响因子：
--
通讯作者：
Xue Yu
中科院分区：
文献类型：
--
作者：
Xue Yu
基于交通流格子模型，分别提出了考虑交通次近邻流、关注后车和前车的格子模型。稳定性判据是通过线性稳定性分析得出的。用微扰法对密度波的演化进行了分析研究。结果表明，交通拥堵转变的发生是通过修正KdV方程的扭结解来描述的。理论结果与模拟结果吻合良好。此外，仿真结果表明，考虑次近邻交互作用的点阵模型可以稳定交通流，而另一种模型则与前一种模型相反。
Based on the lattice model of traffic flow, the lattice models which consider the next-nearest-neighbour flow on traffic and pay attention to the following vehicle as well as the preceding vehicle are presented, respectively. The stability criterion is derived by the linear stability analysis. The evolution of density wave has been investigated analytically with the perturbation method. The results show that the occurrence of traffic jamming transitions is described by the kink solution of the modified KdV equation. The theoretical results are in good agreement with the simulation. Moreover, the simulation indicates that the lattice models considering the next-nearest-neighbour interaction can stabilize the traffic flow, but the other model is just in opposition to the former model.