Pursuing robust decisions in uncertain traffic equilibrium problems
Systems and Control
2021-03-24 v1 Multiagent Systems
Systems and Control
Optimization and Control
Abstract
We evaluate the robustness of agents' traffic equilibria in randomized routing games characterized by an uncertain network demand with a possibly unknown probability distribution. Specifically, we extend the so-called hose model by considering a traffic equilibrium model where the uncertain network demand configuration belongs to a polyhedral set, whose shape is itself a-priori unknown. By exploiting available data, we apply the scenario approach theory to establish distribution-free feasibility guarantees for agents' traffic equilibria of the uncertain routing game without the need to know an explicit characterization of such set. A numerical example on a traffic network testbed corroborates the proposed theoretical results.
Cite
@article{arxiv.2103.12585,
title = {Pursuing robust decisions in uncertain traffic equilibrium problems},
author = {Filippo Fabiani},
journal= {arXiv preprint arXiv:2103.12585},
year = {2021}
}