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Related papers: Micro- and Macroscopic Modeling of Crowding and Pu…

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In this paper we systematically apply the mathematical structures by time-evolving measures developed in a previous work to the macroscopic modeling of pedestrian flows. We propose a discrete-time Eulerian model, in which the space…

Mathematical Physics · Physics 2009-07-02 Benedetto Piccoli , Andrea Tosin

Crowd studies have gained increasing relevance due to the recurring incidents of crowd crush accidents. In addressing the issue of the crowd's persistent dynamism, this paper explored the macroscopic and microscopic features of pedestrians…

Physics and Society · Physics 2023-11-28 Jinghui Wang , Wei Lv , Huihua Jiang , Zhiming Fang , Jian Ma

The Social Force Model of pedestrian dynamics is formulated in a way that a) most of its parameters do not have an immediate interpretation, b) often one single parameter has an impact on many aspects of walking behavior and c) a certain…

Physics and Society · Physics 2018-01-03 Tobias Kretz , Jochen Lohmiller , Peter Sukennik

In order to investigate collective effects of interactions between pedestrians and attractions, this study extends the social force model. Such interactions lead pedestrians to form stable clusters around attractions, or even to rush into…

Physics and Society · Physics 2017-09-07 Jaeyoung Kwak , Hang-Hyun Jo , Tapio Luttinen , Iisakki Kosonen

Recent advances in modeling and control of crowds of pedestrians are briefly surveyed in this paper. Possibilities of applying fractional calculus in the modeling of crowd of pedestrians have been shortly reviewed and discussed from…

Physics and Society · Physics 2015-06-18 Ke-cai Cao , YangQuan Chen , Dan Stuart , Dong Yue

The movement of pedestrians is supposed to show certain regularities which can be best described by an ``algorithm'' for the individual behavior and is easily simulated on computers. This behavior is assumed to be determined by an intended…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

Pedestrians often need to decide between different routes they can use to reach their intended destinations, both during emergencies and in their daily lives. This route-choice behavior is important in determining traffic management,…

Physics and Society · Physics 2019-12-19 Hongliu Li , Jun Zhang , Long Xia , Weiguo Song , Nikolai W. F. Bode

We present two conceptually new modeling approaches aimed at describing the motion of pedestrians in obscured corridors: * a Becker-D\"{o}ring-type dynamics * a probabilistic cellular automaton model. In both models the group formation is…

Physics and Society · Physics 2015-06-16 Adrian Muntean , Emilio N. M. Cirillo , Oleh Krehel , Michael Böhm

Traffic jams on roadways, echo chambers on social media, crowds of moving pedestrians, and opinion dynamics during elections are all complex social systems. These applications may seem disparate, but some of the questions that they motivate…

Physics and Society · Physics 2022-10-18 Alexandria Volkening

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

Due to the inherent safety concerns associated with traffic movement in unconstrained two-dimensional settings, it is important that pedestrians' and other modes' movements such as bicyclists are modeled as a risk-taking stochastic dynamic…

Physics and Society · Physics 2024-07-30 Mohaiminul Haque , Samer Hamdar , Alireza Talebpour

Roger Hughes proposed a macroscopic model for pedestrian dynamics, in which individuals seek to minimize their travel time but try to avoid regions of high density. One of the basic assumptions is that the overall density of the crowd is…

Analysis of PDEs · Mathematics 2015-01-29 José A. Carrillo , Stephan Martin , Marie-Therese Wolfram

In this work a physical modelling framework is presented, describing the intelligent, non-local, and anisotropic behaviour of pedestrians. Its phenomenological basics and constitutive elements are detailed, and a qualitative analysis is…

Mathematical Physics · Physics 2010-08-23 Luca Bruno , Andrea Tosin , Paolo Tricerri , Fiammetta Venuti

This article presents an interdisciplinary study of physical and social psychological effects on crowd dynamics based on a series of bottleneck experiments. Bottlenecks are of particular interest for applications such as crowd management…

Physics and Society · Physics 2020-07-14 Juliane Adrian , Armin Seyfried , Anna Sieben

We propose the Proxemic Floor Field Model as an extension of the Floor Field Model, which is one of the successful models describing the pedestrian dynamics. Proxemic Floor Field is the Floor Field which corresponds to the effect of…

Physics and Society · Physics 2012-07-16 Takahiro Ezaki , Daichi Yanagisawa , Kazumichi Ohtsuka , Katsuhiro Nishinari

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

This paper deals with the early results of a new model of pedestrian flow, conceived within a measure-theoretical framework. The modeling approach consists in a discrete-time Eulerian macroscopic representation of the system via a family of…

Mathematical Physics · Physics 2011-03-29 Benedetto Piccoli , Andrea Tosin

A simulation model for the dynamic behaviour of pedestrian crowds is mathematically formulated in terms of a social force model, that means, pedestrians behave in a way as if they would be subject to an acceleration force and to repulsive…

Statistical Mechanics · Physics 2007-05-23 D. Helbing , P. Molnar , F. Schweitzer

Quantitatively modeling the trajectories and behavior of pedestrians walking in crowds is an outstanding fundamental challenge deeply connected with the physics of flowing active matter, from a scientific point of view, and having societal…

Physics and Society · Physics 2020-11-05 Alessandro Corbetta , Lars Schilders , Federico Toschi

The progress of image processing during recent years allows the measurement of pedestrian characteristics on a "microscopic" scale with low costs. However, density and flow are concepts of fluid mechanics defined for the limit of infinitely…

Physics and Society · Physics 2015-05-14 Bernhard Steffen , Armin Seyfried