# A two-dimensional data-driven model for traffic flow on highways

## TL;DR

This paper introduces a new two-dimensional macroscopic traffic flow model based on real highway data, capturing detailed lane and road dynamics, and demonstrating improved performance over traditional one-dimensional models.

## Contribution

It presents a novel 2D traffic flow model with continuous lane and road dynamics, derived from experimental data, enhancing accuracy over existing 1D models.

## Key findings

- The 2D model better reproduces real traffic dynamics.
- Comparison shows improved performance over 1D models.
- Model validated with German and US highway data.

## Abstract

Based on experimental traffic data obtained from German and US highways, we propose a novel two-dimensional first-order macroscopic traffic flow model. The goal is to reproduce a detailed description of traffic dynamics for the real road geometry. In our approach both the dynamic along the road and across the lanes is continuous. The closure relations, being necessary to complete the hydrodynamic equation, are obtained by regression on fundamental diagram data. Comparison with prediction of one-dimensional models shows the improvement in performance of the novel model.