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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…

适应与自组织系统 · 物理学 2026-01-27 Liangze Yang , Hui Yu , Jie Du

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…

统计力学 · 物理学 2009-10-31 Dirk Helbing , Peter Molnar

Pedestrian crowds can very realistically be simulated with a social force model which describes the different influences affecting individual pedestrian motion by a few simple force terms. The model is able to reproduce the emergence of…

统计力学 · 物理学 2007-05-23 Dirk Helbing , Peter Molnar

In recent years modelling crowd and evacuation dynamics has become very important, with increasing huge numbers of people gathering around the world for many reasons and events. The fact that our global population grows dramatically every…

物理与社会 · 物理学 2015-01-28 Mohamed H. Dridi

This paper proposes a crowd dynamic macroscopic model grounded on microscopic phenomenological observations which are upscaled by means of a formal mathematical procedure. The actual applicability of the model to real world problems is…

数学物理 · 物理学 2016-11-07 Luca Bruno , Alessandro Corbetta , Andrea Tosin

In animal societies as well as in human crowds, many observed collective behaviours result from self-organized processes based on local interactions among individuals. However, models of crowd dynamics are still lacking a systematic…

物理与社会 · 物理学 2009-09-30 Mehdi Moussaid , Dirk Helbing , Simon Garnier , Anders Johansson , Maud Combe , Guy Theraulaz

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…

物理与社会 · 物理学 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…

物理与社会 · 物理学 2007-05-23 Armin Seyfried , Bernhard Steffen , Thomas Lippert

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…

统计力学 · 物理学 2007-05-23 D. Helbing , P. Molnar , F. Schweitzer

Routing choices of walking pedestrians in geometrically complex environments are regulated by the interplay of a multitude of factors such as local crowding, (estimated) time to destination, (perceived) comfort. As individual choices…

物理与社会 · 物理学 2022-10-03 Alessandro Gabbana , Federico Toschi , Philip Ross , Antal Haans , Alessandro Corbetta

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…

多智能体系统 · 计算机科学 2022-03-01 Suhair Ahmed , Fatema T. Johora , Jörg P. Müller

A kind of fluid dynamic description for the collective movement of pedestrians is developed on the basis of a Boltzmann-like gaskinetic model. The differences between these pedestrian specific equations and those for ordinary fluids are…

统计力学 · 物理学 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…

应用物理 · 物理学 2017-05-11 Yan-Qun Jiang , Bo-Kui Chen , Bing-Hong Wang , Weng-Fai Wong , Bing-Yang Cao

In this paper we propose a novel macroscopic (fluid dynamics) model for describing pedestrian flow in low and high density regimes. The model is characterized by the fact that the maximal density reachable by the crowd - usually a fixed…

动力系统 · 数学 2025-04-03 Laura Bartoli , Simone Cacace , Emiliano Cristiani , Roberto Ferretti

In this work we investigate the behaviour of a human crowd in a cross-flow. We first analyse the results of a set of controlled experiments in which subjects were divided into two groups, in such a way to explore different density settings,…

物理与社会 · 物理学 2022-03-30 Francesco Zanlungo , Claudio Feliciani , Zeynep Yücel , Katsuhiro Nishinari , Takayuki Kanda

The behavior of pedestrians shows certain regularities, which can be described by quantitative (partly stochastic) models. The models are based on the behavior of individual pedestrians, which depends on the pedestrian intentions and on the…

统计力学 · 物理学 2007-05-23 Dirk Helbing

In human crowds as well as in many animal societies, local interactions among individuals often give rise to self-organized collective organizations that offer functional benefits to the group. For instance, flows of pedestrians moving in…

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…

数学物理 · 物理学 2011-03-29 Benedetto Piccoli , Andrea Tosin

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…

物理与社会 · 物理学 2018-01-03 Tobias Kretz , Jochen Lohmiller , Peter Sukennik

Understanding pattern formation in crossing pedestrian flows is essential for analyzing and managing high-density crowd dynamics in urban environments. This study presents two complementary methodological approaches to detect and…

物理与社会 · 物理学 2025-04-24 Piotr Nyczka , Pratik Mullick
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