交通流多格点预估格子模型与数值仿真

Multi-anticipation lattice model of traffic flow and numerical simulation

考虑驾驶员对多格点交通流量预估效应,建立了新的交通流多格点预估格子模型。通过线性稳定性分析获得了改进模型的稳定性条件。通过非线性分析得到了扭结—反扭结密度波解,得到了交通流相空间的三个区域:稳定区域、亚稳定区域和不稳定区域。数值仿真验证了考虑驾驶员对多格点的预估效应,能够进一步提高交通流的稳定性。

This paper constructed a new multi-anticipation lattice model of traffic flow by considering the driver anticipation effect on traffic flux of multi-lattice. It obtained stability condition of improved model by linear stability analysis and derived kink-antikink solution through nonlinear analysis. Therefore it divided the space into three regions： stable, metastable and un- stable. Numerical simulation shows that the stability of traffic flow can be further enhanced with the consideration of the driver anticipation effect on traffic flux of multi-lattice.