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Related papers: Pedestrians in static crowds are not grains, but g…

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Understanding and modeling pedestrian dynamics in dense crowds is a complex yet essential aspect of crowd management and urban planning. In this work, we investigate the dynamics of a dense crowd crossed by a cylindrical intruder using a…

Physics and Society · Physics 2024-05-29 Matteo Butano , Cécile Appert-Rolland , Denis Ullmo

In this paper we use a minimal model based on Mean-Field Games (a mathematical framework apt to describe situations where a large number of agents compete strategically) to simulate the scenario where a static dense human crowd is crossed…

Physics and Society · Physics 2024-05-29 Matteo Butano , Thibault Bonnemain , Cécile Appert-Rolland , Alexandre Nicolas , Denis Ullmo

This paper suggests a model for the motion of tagged pedestrians: pedestrians moving towards a specified targeted destination, which they are forced to reach. It aims to be a decision-making tool for the positioning of fire fighters,…

Optimization and Control · Mathematics 2019-02-25 Alexander Aurell , Boualem Djehiche

This paper investigates the model for pedestrian flow firstly proposed in [Cristiani et al., DOI:10.1137/140962413]. The model assumes that each individual in the crowd moves in a known domain, aiming at minimizing a given cost functional.…

Optimization and Control · Mathematics 2024-11-01 Emiliano Cristiani , Arianna De Santo , Marta Menci

It was demonstrated in [Bonnemain et al., Phys. Rev. E 107, 024612 (2023)] that the anticipation pattern displayed by a dense crowd crossed by an intruder can be successfully described by a minimal Mean-Field Games model. However,…

Physics and Society · Physics 2024-04-17 Matteo Butano , Cécile Appert-Rolland , Denis Ullmo

Modeling of crowds of pedestrians has been considered in this paper from different aspects. Based on fractional microscopic model that may be much more close to reality, a fractional macroscopic model has been proposed using conservation…

Adaptation and Self-Organizing Systems · Physics 2016-02-04 Ke-cai Cao , YangQuan Chen , Dan Stuart

In this paper we study a two dimensional crowd model where pedestrian velocity consists of two elements: a non--local interaction term, modeling the effect of other walkers on each individual, and a control term. This latter term can be…

Analysis of PDEs · Mathematics 2014-03-25 Fabio S. Priuli

The increasing number of mass events involving large crowds calls for a better understanding of the dynamics of dense crowds. Inquiring into the possibility of a mechanical description of these dynamics, we experimentally study the crossing…

We extend the class of pedestrian crowd models introduced by Lachapelle and Wolfram (2011) to allow for nonlocal crowd aversion and arbitrarily but finitely many interacting crowds. The new crowd aversion feature grants pedestrians a…

Optimization and Control · Mathematics 2018-01-29 Alexander Aurell , Boualem Djehiche

When a large group of pedestrians moves around a corner, most pedestrians do not follow the shortest path, which is to stay as close as possible to the inner wall, but try to minimize the travel time. For this they accept to move on a…

Physics and Society · Physics 2009-05-28 Tobias Kretz

This contribution proposes a method to make agents in a microscopic simulation of pedestrian traffic walk approximately along a path of estimated minimal remaining travel time to their destination. Usually models of pedestrian dynamics are…

Physics and Society · Physics 2014-07-15 Tobias Kretz , Andree Grosse , Stefan Hengst , Lukas Kautzsch , Andrej Pohlmann , Peter Vortisch

The possibility to understand and to quantitatively model the physics of the interactions between pedestrians walking in crowds has compelling relevant applications, e.g. related to the design and safety of civil infrastructures. In this…

Physics and Society · Physics 2018-12-19 Alessandro Corbetta , Jasper Meeusen , Chung-min Lee , Roberto Benzi , Federico Toschi

In this paper we deal with pedestrian modeling, aiming at simulating crowd behavior in normal and emergency scenarios, including highly congested mass events. We are specifically concerned with a new agent-based, continuous-in-space,…

Adaptation and Self-Organizing Systems · Physics 2023-11-23 E. Cristiani , M. Menci , A. Malagnino , G. G. Amaro

In this paper we derive and analyse mean-field models for the dynamics of groups of individuals undergoing a random walk. The random motion of individuals is only influenced by the perceived densities of the different groups present as well…

Following the paradigm set by attraction-repulsion-alignment schemes, a myriad of individual based models have been proposed to calculate the evolution of abstract agents. While the emergent features of many agent systems have been…

Physics and Society · Physics 2019-05-03 Rafael Bailo , José A. Carrillo , Pierre Degond

The strategic behaviour of pedestrians is largely determined by how they perceive and react to neighbouring people. This issue is addressed in this paper by a model which combines, in a time and space-dependent way, discrete and continuous…

Physics and Society · Physics 2016-06-23 Annachiara Colombi , Marco Scianna , Andrea Tosin

In this paper, we consider a mean field game model inspired by crowd motion in which several interacting populations evolving in $\mathbb R^d$ aim at reaching given target sets in minimal time. The movement of each agent is described by a…

Optimization and Control · Mathematics 2022-08-16 Saeed Sadeghi Arjmand , Guilherme Mazanti

In shared space environments, urban space is shared among different types of road users, who frequently interact with each other to negotiate priority and coordinate their trajectories. Instead of traffic rules, interactions among them are…

Multiagent Systems · Computer Science 2022-03-01 Suhair Ahmed , Fatema T. Johora , Jörg P. Müller

Walking is a fundamental activity of human life, not only for moving between places but also for interacting with surrounding environments. While walking to destinations, pedestrians may acquaint themselves with attractions such as…

Physics and Society · Physics 2017-11-22 Jaeyoung Kwak

In this paper, we investigate disparities in pedestrian crossing behaviors within static and dynamic crowds through experimental analysis. First, qualitative trajectory observations revealed significant behavioral differences in static and…

Physics and Society · Physics 2025-06-19 Jinghui Wang , Yajuan Jiang , Xiaoying Zhang , Fangwei Deng , Wei Lv
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