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在一维交通流格子模型的基础上 ,分别提出考虑最近邻车和次近邻车以及考虑前、后近邻车相互作用进行车流优化的一维交通流格子模型 .应用线性稳定性理论和非线性理论进行分析 ,得出车流的稳定性条件 ,并导出了描述交通阻塞相变的mKdV方程 .用数值模拟验证了mKdV方程的解 ,数值模拟结果表明考虑最近邻车和次近邻车的优化车流能够增强车流稳定性 ,而考虑前、后近邻车的优化车流将使稳定性减小 .
On the basis of the one-dimensional traffic flow lattice model, a one-dimensional traffic flow lattice model considering the nearest neighbor and the next nearest neighbor vehicles and considering the interaction of the front and the rear near neighbor vehicles is presented respectively. Applying the linear stability theory and the nonlinear theory And the mKdV equation describing the traffic congestion phase transition is derived.The numerical solution of the mKdV equation is verified by numerical simulation.The numerical simulation results show that the optimal traffic flow considering the nearest neighbor and the next nearest neighbor can be enhanced The stability of the traffic flow, while considering the optimization of the traffic flow of the neighboring cars will make the stability decrease.