Multi-anticipative car-following model

The microscopic car-following model by Bando et al. [1-4] is extended by incorporating multivehicle interactions. It is shown that the reaction to more than one vehicle ahead leads to a stabilization of the dynamical behavior, i. e. the stable region increases. Still the fundamental macroscopic properties of traffic, free flow and congested flow, are described. More important, due to the multi-anticipative driving behavior driving in narrow platoons is forced such that a third fundamental property of traffic flow, the so-called synchronized flow [5], is modeled as well.