Multianticipative Piecewise-Linear Car-Following Model

An extension of the piecewise-linear car-following model to multianticipative driving is proposed. As in the one-car-anticipative model, the stability and the stationary regimes are characterized through a variational formulation of the car dynamics. The homogeneous driving case is studied here, and it is shown that with the stationary regime the multianticipative model guarantees the same macroscopic behavior as that for the one-car anticipative model. Nevertheless, in transient traffic, the variance in car velocities and accelerations is mitigated by the multianticipative driving, and the car trajectories are smoothed. A parameter identification of the model is made on the basis of NGSIM data and using a piecewise-linear regression approach.