Data‐driven models for traffic flow at junctions

Mathematical Methods in the Applied Sciences, vol. 47, pp. 8946–8968

Abstract

The simulation of traffic flow on networks requires knowledge on the behavior across traffic intersections. For macroscopic models based on hyperbolic conservation laws, there exist nowadays many ad‐hoc models describing this behavior. Based on real‐world car trajectory data we propose a new class of data‐driven models with the requirements of being consistent to networked hyperbolic traffic flow models. To this end, the new models combine artificial neural networks with a parametrization of the solution space to the half‐Riemann problem at the junction. A method for deriving density and flux corresponding to the traffic close to the junction for data‐driven models is presented. The model parameters are fitted to obtain suitable boundary conditions for macroscopic first‐ and second‐order traffic flow models. The prediction of various models are compared considering also existing coupling rules at the junction. Numerical results imposing the data‐fitted coupling models on a traffic network are presented exhibiting accurate predictions of the new models.

Authors 2

1. Michaël Herty Aachen Institute for Geometry and Applied Mathematics

   RWTH Aachen University

   Affiliation as printed

   Institute for Geometry and Applied Mathematics RWTH Aachen University Aachen Germany

   Institute for Geometry and Applied Mathematics, RWTH Aachen University, Aachen, Germany

2. Niklas Kolbe corresponding Aachen Institute for Geometry and Applied Mathematics

   RWTH Aachen University

   Affiliation as printed

   Institute for Geometry and Applied Mathematics RWTH Aachen University Aachen Germany

   Institute for Geometry and Applied Mathematics, RWTH Aachen University, Aachen, Germany