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Recently, a theory for stochastic optimal control in non-linear dynamical systems in continuous space-time has been developed (Kappen, 2005). We apply this theory to collaborative multi-agent systems. The agents evolve according to a given…

Multiagent Systems · Computer Science 2012-07-02 Wim Wiegerinck , Bart van den Broek , Hilbert Kappen

We present a new class of macroscopic models for pedestrian flows. Each individual is assumed to move towards a fixed target, deviating from the best path according to the instantaneous crowd distribution. The resulting equation is a…

Analysis of PDEs · Mathematics 2011-04-21 Rinaldo M. Colombo , Mauro Garavello , Magali Lécureux-Mercier

This paper considers a group of mobile autonomous agents moving in Euclidean space with point mass dynamics. We introduce a set of coordination control laws that enable the group to generate the desired stable flocking motion. The control…

Statistics Theory · Mathematics 2007-06-13 Long Wang

Lattice-based random walk models are widely used to study populations of migrating cells with motility bias and proliferation. Crowding is typically represented by volume exclusion, where each lattice site can be occupied by at most one…

Populations and Evolution · Quantitative Biology 2026-01-28 Michael J. Plank , Matthew J. Simpson

This document presents a comprehensive simulation framework designed to model urban incidents involving pedestrians and vehicles. Using a multiagent systems approach, two types of agents (pedestrians and vehicles) are introduced within a 2D…

Multiagent Systems · Computer Science 2026-01-21 Edgar Gonzalez Fernandez

We investigate the effect of groups on a bi-directional flow, by using novel computational methods. Our focus is on self-organisation phenomena, and more specifically on the time needed for the occurrence of pedestrian lanes, their…

Physics and Society · Physics 2019-10-11 Francesco Zanlungo , Luca Crociani , Zeynep Yücel , Takayuki Kanda

Numerical simulations of cardiovascular mass transport pose significant challenges due to the wide range of P\'eclet numbers and backflow at Neumann boundaries. In this paper we present and discuss several numerical tools to address these…

Computational Physics · Physics 2020-06-24 Sabrina R. Lynch , Nitesh Nama , Zelu Xu , Christopher J. Arthurs , Onkar Sahni , C. Alberto Figueroa

The dynamics of agent-based systems provide a framework to face the complexity of pedestrian-vehicle interactions in future cities, in which the compliance to traffic norms plays a fundamental role. The data of an observation performed at a…

Multiagent Systems · Computer Science 2017-12-06 Stefania Bandini , Luca Crociani , Giuseppe Vizzari , Flavio Soares Correa da Silva , Andrea Gorrini

This article proposes a highly accurate and conservative method for hyperbolic systems using the finite volume approach. This innovative scheme constructs the intermediate states at the interfaces of the control volumes using the method of…

Numerical Analysis · Mathematics 2023-11-23 Wassim Aboussi , Moussa Ziggaf , Imad Kissami , Mohamed Boubekeur

This article studies clogging phenomena using a velocity-based model for pedestrian dynamics. First, a method to identify prolonged clogs in simulations was introduced. Then bottleneck simulations were implemented with different initial and…

Physics and Society · Physics 2021-05-11 Qiancheng Xu , Mohcine Chraibi , Armin Seyfried

This paper attempts to design an intelligent simulation model for pedestrian crowd evacuation. For this purpose, the cellular automata(CA) was fully integrated with fuzzy logic, the kth nearest neighbors (KNN), and some statistical…

Multiagent Systems · Computer Science 2019-12-05 Danial A. Muhammed , Soran A. M. Saeed , Tarik A. Rashid

Many complex systems can be modeled as multiagent systems in which the constituent entities (agents) interact with each other. The global dynamics of such a system is determined by the nature of the local interactions among the agents.…

Multiagent Systems · Computer Science 2011-11-10 Reinhard Laubenbacher , Abdul S. Jarrah , Henning Mortveit , S. S. Ravi

In the present work we deal with the existence of solutions for optimal control problems associated to transport equations. The behaviour of a population of individuals will be influenced by the presence of a population of control agents…

Analysis of PDEs · Mathematics 2022-05-19 S. Fagioli , A. Kaufmann , E. Radici

How to reproduce realistic motion in simulations has always been a fundamental problem for pedestrian dynamics, and a critical challenge for current studies is the natural correlation of the movement choices and the human behaviours. To…

Physics and Society · Physics 2022-04-27 Yao Xiao

This paper focuses on a model for opinion dynamics, where the influence weights of agents evolve in time. We formulate a control problem of consensus type, in which the objective is to drive all agents to a final target point under suitable…

Analysis of PDEs · Mathematics 2020-11-10 Nastassia Duteil , Benedetto Piccoli

Modeling crowds has many important applications in games and computer animation. Inspired by the emergent following effect in real-life crowd scenarios, in this work, we develop a method for implicitly grouping moving agents. We achieve…

Multiagent Systems · Computer Science 2024-07-02 Xiao-Cheng Liao , Wei-Neng Chen , Xiang-Ling Chen , Yi Mei

We present a new finite volume method for computing numerical approximations of a system of nonlocal transport equation modeling interacting species. This method is based on the work [F. Delarue, F. Lagoutire, N. Vauchelet, Convergence…

Analysis of PDEs · Mathematics 2019-12-16 Anissa Keurti , Thomas Rey

This contribution describes efforts to model the behavior of individual pedestrians and their interactions in crowds, which generate certain kinds of self-organized patterns of motion. Moreover, this article focusses on the dynamics of…

Physics and Society · Physics 2013-09-09 Dirk Helbing , Anders Johansson

An understanding of pedestrian dynamics is indispensable for numerous urban applications including the design of transportation networks and planing for business development. Pedestrian counting often requires utilizing manual or technical…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Eric K. Tokuda , Yitzchak Lockerman , Gabriel B. A. Ferreira , Ethan Sorrelgreen , David Boyle , Roberto M. Cesar-Jr. , Claudio T. Silva

We introduce a method called MASCOT (Multi-Agent Shape Control with Optimal Transport) to compute optimal control solutions of agents with shape/formation/density constraints. For example, we might want to apply shape constraints on the…

Multiagent Systems · Computer Science 2023-02-07 Alex Tong Lin , Stanley J. Osher