Learning traffic flows: Graph Neural Networks for Metamodelling Traffic Assignment

Fuente: arXiv
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Autori principali: Lassen, Oskar Bohn, Agriesti, Serio, Eldafrawi, Mohamed, Gammelli, Daniele, Cantelmo, Guido, Gentile, Guido, Pereira, Francisco Camara
Natura: Preprint
Pubblicazione: 2025
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author Lassen, Oskar Bohn
Agriesti, Serio
Eldafrawi, Mohamed
Gammelli, Daniele
Cantelmo, Guido
Gentile, Guido
Pereira, Francisco Camara
author_facet Lassen, Oskar Bohn
Agriesti, Serio
Eldafrawi, Mohamed
Gammelli, Daniele
Cantelmo, Guido
Gentile, Guido
Pereira, Francisco Camara
contents The Traffic Assignment Problem is a fundamental, yet computationally expensive, task in transportation modeling, especially for large-scale networks. Traditional methods require iterative simulations to reach equilibrium, making real-time or large-scale scenario analysis challenging. In this paper, we propose a learning-based approach using Message-Passing Neural Networks as a metamodel to approximate the equilibrium flow of the Stochastic User Equilibrium assignment. Our model is designed to mimic the algorithmic structure used in conventional traffic simulators allowing it to better capture the underlying process rather than just the data. We benchmark it against other conventional deep learning techniques and evaluate the model's robustness by testing its ability to predict traffic flows on input data outside the domain on which it was trained. This approach offers a promising solution for accelerating out-of-distribution scenario assessments, reducing computational costs in large-scale transportation planning, and enabling real-time decision-making.
format Preprint
id arxiv_https___arxiv_org_abs_2505_11230
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Learning traffic flows: Graph Neural Networks for Metamodelling Traffic Assignment
Lassen, Oskar Bohn
Agriesti, Serio
Eldafrawi, Mohamed
Gammelli, Daniele
Cantelmo, Guido
Gentile, Guido
Pereira, Francisco Camara
Machine Learning
The Traffic Assignment Problem is a fundamental, yet computationally expensive, task in transportation modeling, especially for large-scale networks. Traditional methods require iterative simulations to reach equilibrium, making real-time or large-scale scenario analysis challenging. In this paper, we propose a learning-based approach using Message-Passing Neural Networks as a metamodel to approximate the equilibrium flow of the Stochastic User Equilibrium assignment. Our model is designed to mimic the algorithmic structure used in conventional traffic simulators allowing it to better capture the underlying process rather than just the data. We benchmark it against other conventional deep learning techniques and evaluate the model's robustness by testing its ability to predict traffic flows on input data outside the domain on which it was trained. This approach offers a promising solution for accelerating out-of-distribution scenario assessments, reducing computational costs in large-scale transportation planning, and enabling real-time decision-making.
title Learning traffic flows: Graph Neural Networks for Metamodelling Traffic Assignment
topic Machine Learning
url https://arxiv.org/abs/2505.11230