Multi-anticipative car-following model with explicit reaction-time delay

The microscopic car-following model with explicit reaction-time delay and several predecessors in interaction is presented. This model is based on the well-known optimal velocity approach. Multi-anticipation and human reaction time allow for the capturing of natural drivers’ behavior when identifying their longitudinal acceleration. The traffic behavior of the proposed model is investigated analytically and numerically. Linear stability on a ring is analyzed by introducing small disturbances into the homogeneous traffic flow. By increasing the number of leaders in interaction, the traffic flow stability is enhanced. As a result, the traffic jams can be reduced by introducing the more front interactions. Behavior of stop-and-go waves and the speed of its propagation are in a good agreement with the observations.