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The motion of pedestrian crowds (e.g. for simulation of an evacuation situation) can be modeled as a multi-body system of self driven particles with repulsive interaction. We use a few simple situations to determine the simplest allowed…

Physics and Society · Physics 2009-12-04 B. Steffen

For the modelling of pedestrian dynamics we treat persons as self-driven objects moving in a continuous space. On the basis of a modified social force model we qualitatively analyze the influence of various approaches for the interaction…

Physics and Society · Physics 2007-05-23 Armin Seyfried , Bernhard Steffen , Thomas Lippert

It is suggested that the motion of pedestrians can be described as if they would be subject to `social forces'. These `forces' are not directly exerted by the pedestrians' personal environment, but they are a measure for the internal…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Peter Molnar

A spatially continuous force-based model for simulating pedestrian dynamics is introduced which includes an elliptical volume exclusion of pedestrians. We discuss the phenomena of oscillations and overlapping which occur for certain choices…

Physics and Society · Physics 2015-05-19 Mohcine Chraibi , Armin Seyfried , Andreas Schadschneider

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 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

Robust agent-based models for pedestrian dynamics, which can predict the motion of pedestrians in various situations without specific adjustment of the model or its parameters, are highly desirable. But the modeller's task is challenging,…

Physics and Society · Physics 2023-11-01 Iñaki Echeverría-Huarte , Alexandre Nicolas

This paper introduces a space-continuous force-based model for simulating pedestrian dynamics. The main interest of this work is the quantitative description of pedestrian movement through a bottleneck. Measurements of flow and density will…

Physics and Society · Physics 2016-11-15 Mohcine Chraibi , Armin Seyfried , Andreas Schadschneider , Wolfgang Mackens

We introduce an enhanced model based on the generalized centrifugal force model. Furthermore, the desired direction of pedestrians is investigated. A new approach leaning on the well-known concept of static and dynamic floor-fields in…

Physics and Society · Physics 2012-07-06 Mohcine Chraibi , Martina Freialdenhoven , Andreas Schadschneider , Armin Seyfried

The pedestrian flow is one of the most complex systems, involving large populations of interacting agents. Models at microscopic and macroscopic scales offer different advantages for studying related problems. In general, microscopic models…

Adaptation and Self-Organizing Systems · Physics 2026-01-27 Liangze Yang , Hui Yu , Jie Du

A recent study [D. Helbing, A. Johansson and H. Z. Al-Abideen, {\it Phys. Rev. E} 75, 046109 (2007)] has revealed a "turbulent" state of pedestrian flows, which is characterized by sudden displacements and causes the falling and trampling…

Physics and Society · Physics 2009-11-13 Wenjian Yu , Anders Johansson

Extensive research in pedestrian dynamics has primarily focused on crowded conditions and associated phenomena, such as lane formation, evacuation, etc. Several force-based models have been developed to predict the behavior in these…

Physics and Society · Physics 2026-02-11 Kanika Jain , Shankar Prawesh , Indranil Saha Dalal , Anurag Tripathi

We give an overview of time-continuous pedestrian models with a focus on data-driven modelling. Starting from pioneer, reactive force-based models we move forward to modern, active pedestrian models with sophisticated collision-avoidance…

Physics and Society · Physics 2023-10-25 Raphael Korbmacher , Alexandre Nicolas , Antoine Tordeux , Claudia Totzeck

We propose in this paper a minimal speed-based pedestrian model for which particle dynamics are intrinsically collision-free. The speed model is an optimal velocity function depending on the agent length (i.e.\ particle diameter), maximum…

Physics and Society · Physics 2015-12-19 Antoine Tordeux , Mohcine Chraibi , Armin Seyfried

This work presents a microscopic model to describe pedestrian flows based on the social force theory. The aim of this study is twofold: (1) developing a realistic model that can be used as a tool for designing pedestrian-friendly…

Multiagent Systems · Computer Science 2026-01-07 Péter Molnár

This paper introduces a spatially continuous force-based model for simulating pedestrian dynamics. The main intention of this work is the quantitative description of pedestrian movement through bottlenecks and in corridors. Measurements of…

Physics and Society · Physics 2009-12-22 Mohcine Chraibi , Armin Seyfried , Andreas Schadschneider , Wolfgang Mackens

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

An extended social force model with a dynamic navigation field is proposed to study bidirectional pedestrian movement. The dynamic navigation field is introduced to describe the desired direction of pedestrian motion resulting from the…

Applied Physics · Physics 2017-05-11 Yan-Qun Jiang , Bo-Kui Chen , Bing-Hong Wang , Weng-Fai Wong , Bing-Yang Cao

Microscopic Pedestrian Simulation Model is computer simulation model of pedestrian movement where every pedestrian in the model is treated as individual. Most of pedestrian researches have been done on macroscopic level, which does not…

Multiagent Systems · Computer Science 2016-09-08 Kardi Teknomo , Yasushi Takeyama , Hajime Inamura

Repulsion between individuals within a finite radius is encountered in numerous applications, including cell exclusion, i.e. avoidance of overlapping cells, bird flocks, or microscopic pedestrian models. We define such individual based…

Analysis of PDEs · Mathematics 2023-10-06 Michael Fischer , Laura Kanzler , Christian Schmeiser
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