Collision-free nonuniform dynamics within continuous optimal velocity models.
Optimal velocity (OV) car-following models give with few parameters stable stop-and -go waves propagating like in empirical data. Unfortunately, classical OV models locally oscillate with vehicles colliding and moving backward. In order to solve this problem, the models have to be completed with additional parameters. This leads to an increase of the complexity. In this paper, a new OV model with no additional parameters is defined. For any value of the inputs, the model is intrinsically asymmetric and collision-free. This is achieved by using a first-order ordinary model with two predecessors in interaction, instead of the usual inertial delayed first-order or second-order models coupled with the predecessor. The model has stable uniform solutions as well as various stable stop-and -go patterns with bimodal distribution of the speed. As observable in real data, the modal speed values in congested states are not restricted to the free flow speed and zero. They depend on the form of the OV function. Properties of linear, concave, convex, or sigmoid speed functions are explored with no limitation due to collisions.
Jülich Supercomputing Centre, Forschungszentrum Jülich GmbH, Germany.
Antoine
A
Tordeux
Jülich Supercomputing Centre, Forschungszentrum Jülich GmbH, Germany and Computer Simulation for Fire Safety and Pedestrian Traffic, Bergische Universität Wuppertal, Germany.
Armin
A
Seyfried