Modeling and simulation for microscopic traffic flow based on multiple headway, velocity and acceleration difference

Abstract

A new car-following model termed as multiple headway, velocity, and acceleration difference (MHVAD) is proposed to describe the traffic phenomenon, which is a further extension of the existing model of full velocity difference (FVD) and full velocity and acceleration difference (FVAD). Based on the stability analysis, it is shown that the critical value of the sensitivity in the MHVAD model decreases and the stable region is apparently enlarged, compared with the FVD model and other previous models. At the end, the simulation results demonstrate that the dynamic performance of the proposed MHVAD model is better than that of the FVD and FVAD models.

A Review Analysis of Optimal Velocity Models

“…However, traffic flow can be more stable by introducing all the three types of ITS information. Based on this idea, Li et al (2011) proposed a new car-following model takes into account the effects of the acceleration difference of the multiple preceding vehicles which affects to the behavior of the following vehicle just as the headway and the velocity difference, called multiple headway, velocity, and acceleration difference (MHVAD). Its mathematical description is following: The optimal velocity function V opt (.)…”

Analysis of two-lane lattice hydrodynamic model with consideration of drivers’ characteristics

“…Basically, the existing traffic models can be divided into the microscopic models and the macroscopic models. The microscopic models such as the car-following models [1][2][3][4][5] and the cellular automata models [6][7][8] treat each individual vehicle as a particle and regard traffic as a system of interacting particles driven far from equilibrium. The microscopic models are widely used for their convenience to describe the movement of individual vehicles.…”

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].…”