Effect of self-stabilizing control in lattice hydrodynamic model with on-ramp and off-ramp.

Different from the existing lattice model that considers the impact of a single ramp on the traffic flow in a closed single-lane traffic flow this paper considers a traffic flow model with dual ramps, including one on-ramp and one off-ramp, and further studies the influence of the position relationship between consecutive ramps. Based on previous studies which show that historical speed and historical headway information have a positive effect on traffic in a closed single-lane environment, the historical flow information is introduced to study the ability of historical flow information to correct road instability caused by ramp crossings. Through linear analysis theory, we obtain the neutral stability curve and the stability critical condition of the model. Then we verify the results of the previous theoretical analysis through numerical simulations. [ABSTRACT FROM AUTHOR]