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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

In pedestrian-dense traffic scenarios, an autonomous vehicle may have to safely drive through a crowd of pedestrians while the vehicle tries to keep the desired speed as much as possible. This requires a model that can predict the motion of…

Systems and Control · Electrical Eng. & Systems 2019-07-12 Dongfang Yang , Ümit Özgüner

In nature self-organized systems as flock of birds, school of fishes or herd of sheeps have to deal with the presence of external agents such as predators or leaders which modify their internal dynamic. Such situations take into account a…

Biological Physics · Physics 2012-10-15 Giacomo Albi , Lorenzo Pareschi

Social scientists have criticised computer models of pedestrian streams for their treatment of psychological crowds as mere aggregations of individuals. Indeed most models for evacuation dynamics use analogies from physics where pedestrians…

Physics and Society · Physics 2016-07-13 I. von Sivers , A. Templeton , F. Künzner , G. Köster , J. Drury , A. Philippides , T. Neckel , H. -J. Bungartz

The flocking of self-propelled particles in heterogeneous environments is relevant to both natural and artificial systems. The Vicsek model is a canonical choice to investigate such systems due to the minimal number of parameters required…

Computational Physics · Physics 2024-12-11 Eighdi Aung , Nicole Abaid , James E. McClure

It was recently found that the Social Force Model of pedestrian dynamics in a macroscopic limit for 1d movement does not reproduce the empirically found inflection point of the speed-density relation. It could be shown that, however, a…

Physics and Society · Physics 2015-12-07 Tobias Kretz , Jochen Lohmiller , Johannes Schlaich

Many models account for the traffic flow of road users but few take the details of local interactions into consideration and how they could deteriorate into safety-critical situations. Building on the concept of sensorimotor control, we…

Machine Learning · Computer Science 2021-10-22 Yi-Shin Lin , Aravinda Ramakrishnan Srinivasan , Matteo Leonetti , Jac Billington , Gustav Markkula

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…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

We consider a self-propelled particle system which has been used to describe certain types of collective motion of animals, such as fish schools and bird flocks. Interactions between particles are specified by means of a pairwise potential,…

Analysis of PDEs · Mathematics 2013-03-05 J. A. Carrillo , S. Martin , V. Panferov

Analyzing and forecasting trajectories of agents like pedestrians and cars in complex scenes has become more and more significant in many intelligent systems and applications. The diversity and uncertainty in socially interactive behaviors…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Conghao Wong , Beihao Xia , Ziqian Zou , Yulong Wang , Xinge You

The escape panic version of the Social Force Model (SFM) is a suitable model for describing emergency evacuations. In this research, we analyze a real-life video, recorded at the opening of a store during a Black Friday event, which…

Physics and Society · Physics 2020-10-28 I. M. Sticco , G. A. Frank , C. O. Dorso

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

Elucidating emergent regularities in intriguing crowd dynamics is a fundamental scientific problem arising in multiple fields. In this work, based on the social force model, we simulate the typical scenario of collective escape towards a…

Soft Condensed Matter · Physics 2021-05-11 Chen Cheng , Jinglai Li , Zhenwei Yao

In this chapter, we discuss the mathematical modeling of egressing pedestrians in an unknown environment with multiple exits. We investigate different control problems to enhance the evacuation time of a crowd of agents, by few informed…

Optimization and Control · Mathematics 2021-08-30 Giacomo Albi , Federica Ferrarese , Chiara Segala

Robots operating in human-populated environments must navigate safely and efficiently while minimizing social disruption. Achieving this requires estimating crowd movement to avoid congested areas in real-time. Traditional microscopic…

Robotics · Computer Science 2025-08-28 Maryam Kazemi Eskeri , Thomas Wiedemann , Ville Kyrki , Dominik Baumann , Tomasz Piotr Kucner

The aim our work is to create virtual humans as intelligent entities, which includes approximate the maximum as possible the virtual agent animation to the natural human behavior. In order to accomplish this task, our agent must be capable…

Multiagent Systems · Computer Science 2010-04-27 F. Cherif , R. Chighoub

Computer-based simulation of pedestrian dynamics reached meaningful results in the last decade, thanks to empirical evidences and acquired knowledge fitting fundamental diagram constraints and space utilization. Moreover, computational…

Multiagent Systems · Computer Science 2016-10-26 Luca Crociani , Daichi Yanagisawa , Giuseppe Vizzari , Katsuhiro Nishinari , Stefania Bandini

The aim of this paper is to develop a crowd motion model designed to handle highly packed situations. The model we propose rests on two principles: We first define a spontaneous velocity which corresponds to the velocity each individual…

Numerical Analysis · Mathematics 2009-01-09 Bertrand Maury , Juliette Venel

The Social Force model introduced by Helbing and Molnar in 1995 is a cornerstone of pedestrian simulation. This paper introduces a differentiable simulation of the Social Force model where the assumptions on the shapes of interaction…

Machine Learning · Computer Science 2021-09-27 Sven Kreiss

Pedestrian behavior has much more complicated characteristics in a dense crowd and thus attracts the widespread interest of scientists and engineers. However, even successful modeling approaches such as pedestrian models based on particle…

Multiagent Systems · Computer Science 2014-04-11 Qi Xu , Baohua Mao , Xujie Feng , Jia Feng