Solid angle car following model*

Abstract

Existing traffic flow models give little consideration on vehicle sizes. We introduce the solid angle into car-following theory, taking the driver’s perception of the leading vehicle’s size into account. The solid angle and its change rate are applied as inputs to the novel model. A nonlinear stability analysis is performed to analyze the asymmetry of the model and the size effect of the leading vehicle, and the modified Korteweg–de Vries equation is derived. The solid angle model can explain complex traffic characteristics and provide an important basis for modeling nonlinear traffic phenomena.

Modeling and analysis of car-following behavior considering backward-looking effect*

“…In recent years, studies have also been conducted on the visual angle car-following model. [27][28][29][30] Jin et al [28] introduced visual angle as a stimulus for driver to perceive the leading vehicle and built a relevant car-following model. The simulation results show that the model can better describe the characteristics of driver's asymmetry in acceleration and deceleration and speed fluctuation.…”

“…The simulation results show that the model can better describe the characteristics of driver's asymmetry in acceleration and deceleration and speed fluctuation. Recently, Ma et al [29] proposed that the solid angle composed of the width and height of the vehicle is a factor influencing the car-following behavior and established the new model using the solid angle as the influencing factor. However, all the car-following models based on visual information focus on the influence of leading vehicle.…”