<!--StartFragment -->A multi-class nonlocal macroscopic model with time delay for mixed autonomous / human-driven traffic<!--EndFragment -->
Abstract
In this paper, we present a class of systems of non-local conservation laws in one space-dimension incorporating time delay, which can be used to investigate the interaction between autonomous and human-driven vehicles, each characterized by a different reaction time and interaction range. We construct approximate solutions using a Hilliges-Weidlich scheme and we provide uniform L $\infty$ and BV estimates which ensure the convergence of the scheme, thus obtaining existence of entropy weak solutions of bounded variation. Uniqueness follows from an L 1 stability result derived from the entropy condition. Additionally, we provide numerical simulations to illustrate applications to mixed autonomous / human-driven traffic flow modeling. In particular, we show that the presence of autonomous vehicles improves overall traffic flow and stability.
Fields of Study & Subjects
Traffic control and management
Traffic Prediction and Management Techniques
Simulation Techniques and Applications
Publication details
- Journal / source
- Communications in Mathematical Sciences
- Volume
- 24
- Issue
- 1
- Pages
- 209–242
- Publication date
- 1 January 2026
- Language
- EN