A mathematical model of the formation of lanes in crowds of pedestrians moving in opposite directions
type: Item
instance of: scholarly article
title: A mathematical model of the formation of lanes in crowds of pedestrians moving in opposite directions
zbMATH Open document ID: 1418.90076
DOI: 10.1155/2015/872807
author: Guillermo H. Goldsztein
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: In crowded environments, pedestrians moving in opposite directions segregate into lanes of individuals moving in the same direction. It is believed that this formation of lanes that facilitates the flow results from the individuals acting on their behalf, responding to local stimuli, without the intention of benefiting the crowd as a whole. We give evidence that this is true by developing and analyzing a simple mathematical model. Our results suggest that the simple behavior of moving out of the way to avoid imminent collisions leads to the formation of lanes of individuals moving in the same direction.
Mathematics Subject Classification ID: 90B20
zbMATH DE Number: 7025534
Wikidata QID: Q59105530
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/872807
OpenAlex ID: W1598273818
cites work: Q5445118
cites work: Q3639081
cites work: Characterizing correlations of flow oscillations at bottlenecks
cites work: Simulation of bi-direction pedestrian movement using a cellular automata model
cites work: Self-organized hydrodynamics with congestion and path formation in crowds
cites work: A hierarchy of heuristic-based models of crowd dynamics
cites work: Q5288804
cites work: Two-way multi-lane traffic model for pedestrians in corridors
cites work: T<scp>HE</scp> F<scp>LOW OF</scp> H<scp>UMAN</scp> C<scp>ROWDS</scp>
cites work: Time-evolving measures and macroscopic modeling of pedestrian flow
cites work: ON THE MODELLING CROWD DYNAMICS FROM SCALING TO HYPERBOLIC MACROSCOPIC MODELS
cites work: Multiscale Modeling of Granular Flows with Application to Crowd Dynamics
cites work: Pedestrian flow models with slowdown interactions
cites work: Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit
cites work: Simulation of pedestrian flows by optimal control and differential games
cites work: Optimal self-organization
cites work: Q3061046
description: scientific article; zbMATH DE number 7025534