Analysis of stability and density waves of traffic flow model in an ITS environment

Analysis of CO2 emission in traffic flow and numerical tests

“…As is well known, many scholars and scientists had devoted their research to developing the traffic flow model to describe the dynamic behaviors of the vehicles in three regions including the stable, meta-stable and unstable region. There were many versions of car-following model in the past decades from Pipes' classical model [9] to Bando's optimal velocity model [14] and its extended ones [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. Without loss of generality we choose Bando's model [14] to analyze the carbon emission in congestion for its priority in describing the motion of the vehicle in various conditions.…”

A new car-following model considering driver’s individual anticipation behavior

“…Among them, the most well-known one is the optimal velocity (OV) model [1], which has successfully revealed the dynamical evolution process of traffic congestion in a simple way. Thereafter, inspired by the OV model, some new car-following models [2][3][4][5][6][7][8][9][10][11] were successively put forward to describe the nature of traffic more realistically. Some were extended by introducing multiple information of headway [2][3][4] or relative velocity [5][6][7], whereas others considered both factors at the same time [8][9][10][11].…”

Kink–antikink density wave of an extended car-following model in a cooperative driving system

“…Ge et al [20,21] discuss the stability condition of the model which taking into account arbitrary number of vehicles ahead and derive the mKdV equation and Korteweg-de Vries (KdV) equation respectively. Li and Liu [22] introduce relative velocities of arbitrary number of cars ahead into Newell-Whitham-type car-following model and find that the stability of traffic flow is improved.…”