A new two-lane lattice hydrodynamic model with the introduction of driver’s predictive effect

This paper devises a new two-lane lattice hydrodynamic model (TLHM) to explore driver’s predictive effect (DPE) on traffic oscillation. First, a linear approach is conducted to analytically predict the DPE on traffic performance. Theoretical analysis shows that with the help of DPE, the traffic flow stability will be gradually enhanced. Then, nonlinear analysis is implemented to explore the characteristics of traffic oscillation when sensitivity coefficient is near the critical point. The modified KdV equation derived from the new model and its analytical solution related kink–antikink density waves are obtained. Finally, numerical experiments show that the DPE can effectively dampen the growth of oscillation, which is well consistent with the theoretical analysis of the new model. •Proposed a new two-lane lattice model considering driver’s predictive effect.•Conducted linear stability analysis and provided the corresponding stable condition.•Nonlinear analysis method explores the driving behavior near the critical point.•The numerical experiments validate the efficiency of driver’s predictive effect.