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Art heritage cities are popular tourist destinations but for many of them overcrowding is becoming an issue. In this paper, we address the problem of modeling and analytically studying the flow of tourists along the narrow alleys of the…

最优化与控制 · 数学 2019-08-09 Fabio Bagagiolo , Silvia Faggian , Rosario Maggistro , Raffaele Pesenti

In this paper, we consider a mean field game model inspired by crowd motion where agents aim to reach a closed set, called target set, in minimal time. Congestion phenomena are modeled through a constraint on the velocity of an agent that…

最优化与控制 · 数学 2022-12-23 Saeed Sadeghi Arjmand , Guilherme Mazanti

We consider a class of mean field games in which the agents interact through both their states and controls, and we focus on situations in which a generic agent tries to adjust her speed (control) to an average speed (the average is made in…

偏微分方程分析 · 数学 2020-03-10 Y Achdou , Z Kobeissi

An average pedestrian flow through an exit is one of the most important index in evaluating pedestrian dynamics. In order to study the flow in detail, the floor field model, which is a crowd model by using cellular automaton, is extended by…

统计力学 · 物理学 2009-06-01 Daichi Yanagisawa , Katsuhiro Nishinari

We propose a framework for constructing microscopic traffic models from microscopic acceleration patterns that can in principle be experimental measured and proper averaged. The exact model thus obtained can be used to justify the…

适应与自组织系统 · 物理学 2015-04-07 Bo Yang , Xihua Xu , John Z. F. Pang , Christopher Monterola

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…

机器人学 · 计算机科学 2022-09-21 Tongjia Zheng , Zhenyuan Yuan , Mollik Nayyar , Alan R. Wagner , Minghui Zhu , Hai Lin

We study first order evolutive Mean Field Games where the Hamiltonian is non-coercive. This situation occurs, for instance, when some directions are "forbidden" to the generic player at some points. We establish the existence of a weak…

偏微分方程分析 · 数学 2018-12-03 Paola Mannucci , Claudio Marchi , Carlo Mariconda , Nicoletta Tchou

Microscopic Pedestrian Simulation Model is computer simulation model of pedestrian movement where every pedestrian in the model is treated as individual. Most of pedestrian researches have been done on macroscopic level, which does not…

多智能体系统 · 计算机科学 2016-09-08 Kardi Teknomo , Yasushi Takeyama , Hajime Inamura

We show that keeping a constant lower limit on the net-time headway is the key mechanism behind the dynamics of pedestrian streams. There is a large variety in flow and speed as functions of density for empirical data of pedestrian streams,…

物理与社会 · 物理学 2015-05-14 Anders Johansson

We study an extended dynamical system on the non-negative real line with piecewise linear non-uniformly expanding local dynamics. With a uniformly distributed initial state, the distribution of successive states coincides with that of a…

动力系统 · 数学 2026-01-09 Juho Leppänen

The possibility to understand and to quantitatively model the physics of the interactions between pedestrians walking in crowds has compelling relevant applications, e.g. related to the design and safety of civil infrastructures. In this…

物理与社会 · 物理学 2018-12-19 Alessandro Corbetta , Jasper Meeusen , Chung-min Lee , Roberto Benzi , Federico Toschi

In this paper we are concerned with multiscale modeling, control, and simulation of self-organizing agents leaving an unknown area under limited visibility, with special emphasis on crowds. We first introduce a new microscopic model…

最优化与控制 · 数学 2016-10-04 Giacomo Albi , Mattia Bongini , Emiliano Cristiani , Dante Kalise

Understanding and modeling pedestrian dynamics in dense crowds is a complex yet essential aspect of crowd management and urban planning. In this work, we investigate the dynamics of a dense crowd crossed by a cylindrical intruder using a…

物理与社会 · 物理学 2024-05-29 Matteo Butano , Cécile Appert-Rolland , Denis Ullmo

We provide an overview of the results on Hughes' model for pedestrian movements available in the literature. After the first successful approaches to solving a regularised version of the model, researchers focused on the structure of the…

Pedestrian crowds encompass a complex interplay of intentional movements aimed at reaching specific destinations, fluctuations due to personal and interpersonal variability, and interactions with each other and the environment. Previous…

We introduce a new mean field kinetic model for systems of rational agents interacting in a game theoretical framework. This model is inspired from non-cooperative anonymous games with a continuum of players and Mean-Field Games. The large…

数学物理 · 物理学 2012-12-27 Pierre Degond , Jian-Guo Liu , Christian Ringhofer

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

A series of accidents caused by crowd within the last decades evoked a lot of scientific interest in modeling the movement of pedestrian crowds. Based on discrete element method, a granular dynamic model, in which human body is simplified…

物理与社会 · 物理学 2016-01-19 Peng Lin , Jian Ma , Siuming Lo

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…

统计力学 · 物理学 2007-05-23 Dirk Helbing

This paper presents a framework to perform bifurcation analysis in laboratory experiments or simulations. We employ control-based continuation to study the dynamics of a macroscopic variable of a microscopically defined model, exploring the…

动力系统 · 数学 2022-08-02 Ilias Panagiotopoulos , Jens Starke , Jan Sieber , Wolfram Just