Generic first-order car-following models with stop-and-go waves and exclusion

Abstract

A new Optimal Velocity (OV) car-following model is defined and explored. The model is solely based on an optimal speed function and a reaction time, and, oppositely to classical OV models, is intrinsically collision-free. If the model has uniform solutions, kink-antikink and soliton stop-and-go patterns can be described with a linear bounded optimal velocity function when the reaction time is high enough.