On the Braess Paradox with Nonlinear Dynamics and Control Theory
Analysis of PDEs
2017-03-30 v1
Abstract
We show the existence of the Braess paradox for a traffic network with nonlinear dynamics described by the Lighthill-Whitham-Richards model for traffic flow. Furthermore, we show how one can employ control theory to avoid the paradox. The paper offers a general framework applicable to time-independent, uncongested flow on networks. These ideas are illustrated through examples.
Cite
@article{arxiv.1703.09803,
title = {On the Braess Paradox with Nonlinear Dynamics and Control Theory},
author = {Rinaldo M. Colombo and Helge Holden},
journal= {arXiv preprint arXiv:1703.09803},
year = {2017}
}