Lattice hydrodynamic modeling of traffic flow with consideration of historical current integration effect
Lattice hydrodynamic modeling of traffic flow with consideration of historical current integration effect
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DOI：
10.1016/j.physa.2018.08.072
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发表时间：
2018-08
期刊：
影响因子：
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通讯作者：
Hongzhuan Zhao;Geng Zhang;Wenyong Li;T. Gu;Zhou Dan
中科院分区：
文献类型：
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作者：
Hongzhuan Zhao;Geng Zhang;Wenyong Li;T. Gu;Zhou Dan
提出了一种新的考虑历史积流效应的交通网格水动力学模型，并通过线性和非线性分析研究了积流效应对交通流的影响。通过线性分析得到的线性稳定性条件表明，考虑历史电流积分效应的影响可以提高交通稳定性。非线性分析还表明，临界点附近不稳定区域的交通密度波可以用mKdV方程的扭结-反扭结解来描述。最后，通过数值模拟对分析结果进行了验证，证明了历史电流积分效应对改善交通流的稳定性有重要作用。
A new traffic lattice hydrodynamic model with consideration of historical current integration effect is proposed in this paper and the influence of current integration effect on traffic flow is studied through linear and nonlinear analyses. The linear stability condition obtained by linear analysis reveals that the traffic stability can be enhanced by considering the impact of historical current integration effect. Also the nonlinear analysis shows that the traffic density wave in the unstable region near the critical point can be described by the kink–antikink solution of the mKdV equation. Finally, numerical simulation is carried out to verify the analytical results and it is proved that the historical current integration effect can improve the stability of traffic flow importantly.