Fachgebiet für Verkehrssicherheit und Zuverlässigkeit

Large-scale simulation using mesoscopic models

The simulation of large events and buildings requires pedestrian models that can be simulated faster as real time on standard computers. Microscopic models are not adapted to large-scale simulation, due to their numerical complexity. Macroscopic models are better candidate. Yet the coarse level of such models does not allow describing individual performaces, neither as self-organisation phenomena such as lane formation.

In the misanthrope mesoscopic model, the pedestrians are individually considered, but their dynamics are aggregated over cells that can contain more than one pedestrians. The model is based on the misanthrope process and can be simulated in continuous time without any discretisation scheme. The infinite model converge to the entropy solution of continuous problems. In the finite case, the individual description allows pedestrian tracking and the evaluation of individual performances as well as the reproduction of characteristic self-organisations of pedestrian flows, such as, e.g., lane formation for counter flow. However, the aggregated dynamics provide fast simulation comparable to those of macroscopic models. A presentation of the mesoscopic pedestrian model for large-scale simulation is available here.

I. Ba and A. Tordeux, "Signalized and unsignalized road traffic intersection models: A comprehensive benchmark analysis", Collective Dynamics, vol. 8, pp. A144, 2023.
I. Ba and A. Tordeux, "Comparing Macroscopic First Order Models of Regulated and Unregulated Road Traffic Intersections" in Proceeding of 30th European Safety and Reliability (ESREL) Conference, 2021.
A. Tordeux, G. Lämmel, F. S. Hänseler and B. Steffen, "A mesoscopic model for large-scale simulation of pedestrian dynamics", Transportation Research Part C: Emerging Technologies, vol. 93, pp. 128-147, 2018. Elsevier.


Further references

A Tordeux, M Roussignol, J-P Lebacque and S Lassarre (2014) A stochastic jump process applied to traffic flow modelling. Transportmetrica 10(4):350–375.

R Eymard, M Roussignol and A Tordeux (2012) Convergence of a misanthrope process to the entropy solution of 1D problems. Stoch Proc Appl 122(11):3648–3679.


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