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The purpose of this review paper is to present some recent results on the modeling and control of large systems of agents. We focus on particular applications where the agents are capable of independent actions instead of simply reacting to…

Optimization and Control · Mathematics 2023-02-27 Benedetto Piccoli

Animating and simulating crowds using an agent-based approach is a well-established area where every agent in the crowd is individually controlled such that global human-like behaviour emerges. We observe that human navigation and movement…

Artificial Intelligence · Computer Science 2025-08-22 Yibo Liu , Liam Shatzel , Brandon Haworth , Teseo Schneider

In this paper, we present a model describing the collective motion of birds. The model introduces spontaneous changes in direction which are initialized by few agents, here referred as leaders, whose influence act on their nearest…

Numerical Analysis · Mathematics 2024-06-21 Giacomo Albi , Federica Ferrarese

Bridging the microscopic and macroscopic modelling scales in crowd dynamics constitutes an open challenge for systematic numerical analysis, optimization, and control. Here, we propose a manifold-informed machine learning approach to learn…

Machine Learning · Computer Science 2026-03-03 Hector Vargas Alvarez , Dimitrios G. Patsatzis , Lucia Russo , Ioannis Kevrekidis , Constantinos Siettos

This work studies a robot-assisted crowd evacuation problem where we control a small group of robots to guide a large human crowd to safe locations. The challenge lies in how to model human-robot interactions and design robot controls to…

Robotics · Computer Science 2022-09-21 Tongjia Zheng , Zhenyuan Yuan , Mollik Nayyar , Alan R. Wagner , Minghui Zhu , Hai Lin

Emergence and emergent behaviors are often defined as cases where changes in local interactions between agents at a lower level effectively changes what occurs in the higher level of the system (i.e., the whole swarm) and its properties.…

Robotics · Computer Science 2024-04-01 Ricardo Vega , Connor Mattson , Daniel S. Brown , Cameron Nowzari

This paper is devoted to the study of the dynamic optimization of several controlled crowd motion models in the general planar settings, which is an application of a class of optimal control problems involving a general nonconvex sweeping…

Optimization and Control · Mathematics 2025-01-20 Tan H. Cao , Nilson Chapagain , Haejoon Lee , Phung Ngoc Thi , Nguyen Nang Thieu

We present modeling strategies that describe the motion and interaction of groups of pedestrians in obscured spaces. We start off with an approach based on balance equations in terms of measures and then we exploit the descriptive power of…

Physics and Society · Physics 2018-09-06 A. Ciallella , E. N. M. Cirillo , P. L. Curseu , A. Muntean

Understanding the collective dynamics of crowd movements during stressful emergency situations is central to reducing the risk of deadly crowd disasters. Yet, their systematic experimental study remains a challenging open problem due to…

Optimal control of large particle systems with collective dynamics by few agents is a subject of high practical importance (e.g. in evacuation dynamics), but still limited mathematical basis. In particular the transition from discrete…

Optimization and Control · Mathematics 2016-10-06 Martin Burger , René Pinnau , Andreas Roth , Claudia Totzeck , Oliver Tse

Self-navigation in non-coordinating crowded environments is formidably challenging within multi-agent systems consisting of non-holonomic robots operating through local sensing. Our primary objective is the development of a novel, rapid,…

Robotics · Computer Science 2024-01-18 Veejay Karthik J , Leena Vachhani

We present preliminary results on the problem of driving the dynamics of a group of agents, the herders, so as to steer the collective behaviour of another group of agents, the targets, interacting with them. We define this problem as the…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Andrea Lama , Mario Di Bernardo

We focus on the problem of planning the motion of a robot in a dynamic multiagent environment such as a pedestrian scene. Enabling the robot to navigate safely and in a socially compliant fashion in such scenes requires a representation…

Robotics · Computer Science 2022-03-17 Allan Wang , Christoforos Mavrogiannis , Aaron Steinfeld

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

The simulation of pedestrian crowd that reflects reality is a major challenge for researches. Several crowd simulation models have been proposed such as cellular automata model, agent-based model, fluid dynamic model, etc. It is important…

Multiagent Systems · Computer Science 2017-08-15 Wonho Kang , Youngnam Han

We develop a mesoscopic modeling framework for diffusion in a crowded environment, particularly targeting applications in the modeling of living cells. Through homogenization techniques we effectively coarse-grain a detailed microscopic…

Subcellular Processes · Quantitative Biology 2018-09-19 Stefan Engblom , Per Lötstedt , Lina Meinecke

For robots to be a part of our daily life, they need to be able to navigate among crowds not only safely but also in a socially compliant fashion. This is a challenging problem because humans tend to navigate by implicitly cooperating with…

Robotics · Computer Science 2017-05-18 Anirudh Vemula , Katharina Muelling , Jean Oh

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,…

Physics and Society · Physics 2022-03-30 Francesco Zanlungo , Claudio Feliciani , Zeynep Yücel , Katsuhiro Nishinari , Takayuki Kanda

In both animal and cell populations, the presence of leaders often underlies the success of collective migration processes, which we characterise by a group maintaining a cohesive configuration that consistently moves toward a target. We…

Physics and Society · Physics 2024-10-15 Sara Bernardi , Kevin J. Painter

We are interested in developing an automated system for detection of organized movements in human crowds. Computer vision algorithms can extract information from videos of crowded scenes and automatically detect and track groups of…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Alexandre Matov