Wave properties of a traffic flow model on highway with ramps

In this paper, we use the model is recently presented by us to study the wave properties of the traffic flow on highway with ramps. The results show that the model can perfectly reproduce the effects that ramps have on the formation, the propagation and the evolution of the traffic waves on the main road. Finally, we study the propagating velocity of the first-order wave on the main road and we can further prove that ramps might destroy the stability of the main road traffic flow.