Overview on uncertainty quantification in traffic models via intrusive method

2022/10/12 by Elisa Iacomini, Iacomini, Elisa
Decision Sciences · Engineering · Mathematics · #35Q20 #35Q70 #35R60 #90B20 #Applied mathematics #Computer science #Economics #FOS: Mathematics #Flow (mathematics) #Hierarchy #Machine learning #Mathematics #Mechanics #Microscopic traffic flow model #Numerical Analysis (math.NA) #Physics #Simulation Techniques and Applications #Statistical physics #Statistics #Stochastic modelling #Traffic Prediction and Management Techniques #Traffic control and management #Traffic flow (computer networking) #Traffic generation model #Uncertainty quantification

paper · pdf · doi:10.48550/arxiv.2210.06189

openalex publication_date 2022/10/12 · openalex created_date 2022/10/14 · openalex updated_date 2026/08/06

Abstract

We consider traffic flow models at different scales of observation. Starting from the well known hierarchy between microscopic, kinetic and macroscopic scales, we will investigate the propagation of uncertainties through the models using the stochastic Galerkin approach. Connections between the scales will be presented in the stochastic scenario and numerical simulations will be performed.

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