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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

Controlling large particle systems in collective dynamics by a few agents is a subject of high practical importance, e.g., in evacuation dynamics. In this paper we study an instantaneous control approach to steer an interacting particle…

Optimization and Control · Mathematics 2020-01-29 Martin Burger , Rene Pinnau , Claudia Totzeck , Oliver Tse , Andreas Roth

Ultra-dense crowds, in which physical contact between people cannot be avoided, pose major safety concerns. Nevertheless, the underlying dynamics driving their collective behaviours remain poorly understood. Existing dense crowd models,…

Physics and Society · Physics 2026-01-12 Thomas Chatagnon , Mohcine Chraibi , Julien Pettré , Armin Seyfried , Antoine Tordeux

This article concerns an optimal crowd motion control problem in which the crowd features a structure given by its organization into N groups (participants) each one spatially confined in a set. The overall optimal control problem consists…

Optimization and Control · Mathematics 2021-04-21 Tan H. Cao , Nathalie T. Khalil , Boris S. Mordukhovich , Dao Nguyen , Fernando Lobo Pereira

This paper presents a novel control strategy to herd groups of non-cooperative evaders by means of a team of robotic herders. In herding problems, the motion of the evaders is typically determined by strongly nonlinear and heterogeneous…

Systems and Control · Electrical Eng. & Systems 2022-06-14 Eduardo Sebastián , Eduardo Montijano , Carlos Sagüés

For safety reasons, it is important that the design of buildings and public facilities comply with the guidelines compiled in building codes.The latter are often premised on the concept of exit capacity, \emph{i.e.}, the mean pedestrian…

Physics and Society · Physics 2017-12-07 Alexandre Nicolas

The simulation of the dynamical behavior of pedestrians and crowds in spatial structures is a consolidated research and application context that still presents challenges for researchers in different fields and disciplines. Despite…

Multiagent Systems · Computer Science 2016-08-18 Giuseppe Vizzari , Stefania Bandini

This paper addresses the theoretical foundations of pedestrian models for crowd dynamics. While the topic gains momentum, current models differ widely in their mathematical structure, even if we only consider continuous agent-based models.…

Physics and Society · Physics 2025-03-13 Iñaki Echeverría-Huarte , Antonin Roge , Olivier Simonin , Alexandre Nicolas

Autonomous exploration is an application of growing importance in robotics. A promising strategy is ergodic trajectory planning, whereby an agent spends in each area a fraction of time which is proportional to its probability information…

Optimization and Control · Mathematics 2021-07-06 Dimitris Gkouletsos , Andrea Iannelli , Mathias Hudoba de Badyn , John Lygeros

Most modern agent-based evacuation models involve interactions between evacuees. However, the assumed reasons for interactions and portrayal of them may be overly simple. Research from social psychology suggests that people interact and…

Multiagent Systems · Computer Science 2023-10-25 Anne Templeton , Hui Xie , Steve Gwynne , Aoife Hunt , Pete Thompson , Gerta Köster

Crowd movement guidance has been a fascinating problem in various fields, such as easing traffic congestion in unusual events and evacuating people from an emergency-affected area. To grab the reins of crowds, there has been considerable…

Machine Learning · Computer Science 2021-07-20 Koh Takeuchi , Ryo Nishida , Hisashi Kashima , Masaki Onishi

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

Pedestrians are often encountered walking in the company of some social relations, rather than alone. The social groups thus formed, in variable proportions depending on the context, are not randomly organised but exhibit distinct features,…

Physics and Society · Physics 2021-07-29 Alexandre Nicolas , Fadratul Hafinaz

The last few decades, crowd simulation for crisis management is highlighted as an important topic of interest for many scientific fields. As the continues evolution of computational resources increases, along with the capabilities of…

Multiagent Systems · Computer Science 2020-07-08 George Sidiropoulos , Chairi Kiourt , Lefteris Moussiades

In this letter, we present a constraint-driven optimal control framework that achieves emergent cluster flocking within a constrained 2D environment. We formulate a decentralized optimal control problem that includes safety, flocking, and…

Optimization and Control · Mathematics 2022-03-22 Logan E. Beaver , Andreas A. Malikopoulos

In an emergency situation, imitation of strategies of neighbours can lead to an order-disorder phase transition, where spatial clusters of pedestrians adopt the same strategy. We assume that there are two strategies, cooperating and…

Physics and Society · Physics 2013-03-12 P. Gawronski , K. Malarz , M. J. Krawczyk , J. Malinowski , A. Kupczak , W. Sikora , K. Kulakowski , J. Was , J. Kantelhardt

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

Complex social systems are composed of interconnected individuals whose interactions result in group behaviors. Optimal control of a real-world complex system has many applications, including road traffic management, epidemic prevention,…

Systems and Control · Computer Science 2019-05-08 Wen Dong , Bo Liu , Fan Yang

The simulation of evacuation of pedestrians from skyscraper is a situation where the symmetry analysis method and equations of fluid dynamics finds to be very useful. When applied, they strongly reduce the number of free parameters used in…

Multiagent Systems · Computer Science 2011-08-19 W. Sikora , J. Malinowski , A. Kupczak

The modelling of human crowd behaviors offers many challenging questions to science in general. Specifically, the social human behavior consists of many physiological and psychological processes which are still largely unknown. To model…

Physics and Society · Physics 2023-10-17 Thi Kim Thoa Thieu , Roderick Melnik