9–10 nov. 2023
Bâtiment de Mathématiques
Fuseau horaire Europe/Paris

Prediction-correction pedestrian flow via minimum flow problem

10 nov. 2023, 09:00
45m
Amphi Hennequin (Bâtiment de Mathématiques)

Amphi Hennequin

Bâtiment de Mathématiques

Université Clermont Auvergne Campus des Cézeaux 3, place Vasarely TSA 60026 CS 60026 63178 Aubière cedex France
Exposé scientifique Exposé

Orateur

Hamza Ennaji

Description

In this talk we present a new variant of mathematical prediction-correction model for crowd motion. As the first step (prediction) is somehow classical and performed via a transport equation, we shall focus on the second step (correction) which relies on a minimum flow problem. We discuss some duality results and how to use solve the minimum flow problem via a primal-dual algorithm. We provide some numerical examples to illustrate our approach.

Documents de présentation