Prevision of vehicle headway effect on urban traffic with a new car-following model

Abstract

In this study, a new car-following model is established aiming to predict the variation of vehicle headways on urban road. The linear stability condition is derived corresponding to the prevision of headway in moving. The modified Korteweg–de Vries (mKdV) equation is deduced through the nonlinear analysis. The kink–antikink soliton solution of the mKdV equation can interpret the urban traffic jams near the critical point under the prevision of vehicle headway. Moreover, it is clear that the prevision of headway effect did improve the stability of urban traffic flow since the traffic jams are alleviated efficiently by taking into account the prevision of headway term in numerical simulations, which are consistent with the theoretical analysis.

Energy consumption investigation for a new car-following model considering driver’s memory and average speed of the vehicles

“…In order to solve this problem, a large number of traffic models have been proposed to research the complex traffic phenomena. Such as the substantial traffic models [1][2][3][4][5][6][7][8][9][10] which mainly include car-following models [11][12][13][14][15][16][17][18][19], cellular automation models [20][21][22][23], gas kinetic models [24][25][26], and hydrodynamic lattice models [27][28][29] have been posed to study traffic flow. The optimal velocity model (for short OVM) was firstly proposed by Bando et al [30] in 1995, which has successfully revealed the dynamic evolution of traffic jam in a simple way.…”