A control method for congested traffic in the coupled map car-following model

Abstract

Based on the pioneer work of Konishi et al, a new control method is presented to suppress the traffic congestion in the coupled map (CM) car-following model under an open boundary. A control signal concluding the velocity differences of the two vehicles in front is put forward. The condition under which the traffic jam can be contained is analyzed. The results are compared with that presented by Konishi et al [Phys. Rev. 1999 E 60 4000-4007]. The simulation results show that the temporal behavior obtained by our method is better than that by the Konishi's et al. method, although both the methods could suppress the traffic jam. The simulation results are consistent with the theoretical analysis.

A new coupled-map car-following model based on a transportation supernetwork framework

“…In the past half a century, traffic flow problems have been widely investigated in the field of physics. [1][2][3][4][5][7][8][9][10][11][12][13][14] Many models have been proposed and developed to study the mechanism of traffic congestion and its control methods. The carfollowing model is one of the microscopic traffic flow models, first proposed by Reushel and Pipes in the 1950s.…”

“…Some research related to the CM car-following model and the associated control methods have been extensively studied lately. [12][13][14] Recently, several car-following models based on ITS have been proposed by taking into account the information of multiple preceding leading vehicles in the traffic flows. [9,10,[16][17][18][19][20] All of them assumed that a vehicle could receive information from an arbitrary number of preceding or following vehicles.…”