The optimal estimation of delayed flux effect on traffic stability in lattice hydrodynamic model

Abstract

In the process of traffic information transmission, traffic flux delay often occurs. To solve traffic jams resulting from traffic flux delay, we put forward a novel feedback control mode to establish a lattice model accounting for the difference between the optimal estimation and the delayed flux (called for OEDF model). The stability condition, which is closely related to the OEDF model, is derived according to the linear stability analysis. Moreover, the important positive contribution of the OEDF model is demonstrated via numerical simulation from two aspects including density evolution and hysteresis loop, respectively.