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The "faster is slower" effect raises when crowded people push each other to escape through an exit during an emergency situation. As individuals push harder, a statistical slowing down in the evacuation time can be achieved. The slowing…

Physics and Society · Physics 2017-11-08 I. M. Sticco , F. E. Cornes , G. A. Frank , C. O. Dorso

It is shown in this work that the average individual egress time and other performance indicators for egress of people from a building can be improved under certain circumstances if counterflow occurs. The circumstances include widely…

Physics and Society · Physics 2014-02-10 Tobias Kretz

Emergency evacuation of patients from a hospital can be challenging in the event of a fire. Most emergency evacuation studies are based on the assumption that pedestrians are ambulant and can egress by themselves. However, this is often not…

Physics and Society · Physics 2020-12-24 Jaeyoung Kwak , Michael H. Lees , Wentong Cai , Ahmad Reza Pourghaderi , Marcus E. H. Ong

Suppose an escaping player ("human") moves continuously at maximum speed $1$ in the interior of a region, while a pursuing player ("zombie") moves continuously at maximum speed $r$ outside the region. For what $r$ can the first player…

Computational Geometry · Computer Science 2025-10-21 Zachary Abel , Hugo Akitaya , Erik D. Demaine , Martin L. Demaine , Adam Hesterberg , Jason S. Ku , Jayson Lynch

In case of a threat in a public space, the crowd in it should be moved to a shelter or evacuated without delays. Risk management and evacuation planning in public spaces should also take into account uncertainties in the traffic patterns of…

Physics and Society · Physics 2021-03-31 Anton von Schantz , Harri Ehtamo , Simo Hostikka

A very successful model for simulating emergency evacuation is the social-force model. At the heart of the model is the self-driven force that is applied to an agent and is directed towards the exit. However, it is not clear if the…

Machine Learning · Computer Science 2021-03-09 Yihao Zhang , Zhaojie Chai , George Lykotrafitis

How many mutually non-attacking queens can be placed on a d-dimensional chessboard of size n? The n-queens problem in higher dimensions is a generalization of the well-known n-queens problem. We present an integer programming formulation of…

Optimization and Control · Mathematics 2024-10-24 Tim Kunt

The optimal strategies to catch a randomly walking cat in various environments are presented. All games have a player that opens a box at step $i$. If the cat is in this box the player wins, if not, the cat moves randomly to an adjacent…

General Mathematics · Mathematics 2025-08-27 Rüdiger Jehn

We study the evacuation process from a smoky room by means of experiments and simulations. People in a dark or smoky room are mimicked by ``blind'' students wearing eye masks. The evacuation of the disoriented students from the room is…

Statistical Mechanics · Physics 2009-11-10 Motonari Isobe , Dirk Helbing , Takashi Nagatani

The peaceable queens problem asks to determine the maximum number $a(n)$ such that there is a placement of $a(n)$ white queens and $a(n)$ black queens on an $n \times n$ chessboard so that no queen can capture any queen of the opposite…

Combinatorics · Mathematics 2024-10-29 Katie Clinch , Matthew Drescher , Tony Huynh , Abdallah Saffidine

This paper examines different evacuation strategies for systems where several rooms evacuate trough the same means of egress, using microscopic pedestrian simulation.As a case study, a medium-rise office building is considered. It was found…

Physics and Society · Physics 2015-03-27 Daniel R. Parisi , Pablo A. Negri

The problem of finding the optimal placement of emergency exits in an indoor environment to facilitate the rapid and orderly evacuation of crowds is addressed in this work. A cellular-automaton model is used to simulate the behavior of…

Neural and Evolutionary Computing · Computer Science 2024-05-29 Carlos Cotta , José E. Gallardo

We address the problem of minimizing power consumption when performing reliable broadcast on a radio network under the following popular model. Each node in the network is located on a point in a two dimensional grid, and whenever a node…

Data Structures and Algorithms · Computer Science 2007-10-15 Valerie King , Cynthia Phillips , Jared Saia , Maxwell Young

Suppose we are given a homogeneous tree $\mathcal{T}_q$ of degree $q\geq 3$, where at each vertex sits a lamp, which can be switched on or off. This structure can be described by the wreath product $(\mathbb{Z}/2)\wr \Gamma$, where…

Probability · Mathematics 2007-08-29 Lorenz Gilch

Emergency evacuation is the process of movement of people away from the threat or actual occurrence of hazards such as natural disasters, terrorist attacks, fires and bombs. In this paper, we focus on evacuation from a building, but the…

Data Structures and Algorithms · Computer Science 2016-05-05 Gopinath Mishra , Subhra Mazumdar , Arindam Pal

Currently, there is an increasing number of super high-rise buildings in urban cities, the issue of evacuation in emergencies from such buildings comes to the fore. An evacuation experiment was carried out by our group in Shanghai Tower, it…

Physics and Society · Physics 2021-01-05 Xingpeng Xu , Zhiming Fang , Rui Ye , Zhongyi Huang , Yao Lu

This paper works on one of the most recent pedestrian crowd evacuation models, i.e., "a simulation model for pedestrian crowd evacuation based on various AI techniques", developed in late 2019. This study adds a new feature to the developed…

A Brownian particle with diffusion coefficient $D$ is confined to a bounded domain of volume $V$ in $\rR^3$ by a reflecting boundary, except for a small absorbing window. The mean time to absorption diverges as the window shrinks, thus…

Mathematical Physics · Physics 2007-05-23 A. Singer , Z. Schuss , D. Holcman , R. S. Eisenberg

This research explores the dynamics of emergency evacuations in the presence of social groups. The investigation was carried out in the context of the basic Social Force Model (SFM). We included attractive feelings between people belonging…

Physics and Society · Physics 2022-04-20 Eric A. Rozan , Guillermo A. Frank , Fernando E. Cornes , Ignacio M. Sticco , Claudio O. Dorso

The recent commercial launch of twin-deck Very Large Transport Aircraft (VLTA) such as the Airbus A380 has raised questions concerning the speed at which they may be evacuated. The abnormal height of emergency exits on the upper deck has…

Multiagent Systems · Computer Science 2007-05-23 Martyn Amos , Andrew Wood