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Comparative Study of Macroscopic Pedestrian Models

Authors: Twarogowska, Monika; Goatin, Paola; Duvigneau, Regis;

Comparative Study of Macroscopic Pedestrian Models

Abstract

AbstractWe analyze numerically some macroscopic models of pedestrian motion to compare their capabilities of reproducing characteristic features of crowd behavior, such as travel times minimization and crowded zones avoidance, as well as complex dynamics like stop-and-go waves and clogging at bottlenecks. We compare Hughes’ model with different running costs, a variant with local dependency on the density gradient proposed in Xia et al. (2009), and a second order model derived from the Payne-Whitham traffic model which has first been analyzed in Jiang et al. (2010). In particular, our study shows that first order models are incapable of reproducing stop-and-go waves and blocking at exits.

Country
France
Keywords

eikonal equation, finite volume numerical schemes, evacuation, crowd dynamics, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], conservation laws, macroscopic models

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
30
Top 10%
Top 10%
Top 10%
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gold