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Recent advances in bottleneck studies have highlighted that different architectural adjustments at the exit may reduce the probability of clogging at the exit thereby enhancing the outflow of the individuals. However, those studies are…

Physics and Society · Physics 2019-03-27 Xiaomeng Shi , Zhirui Ye , Nirajan Shiwakoti , Dounan Tang , Junkai Lin

Pedestrian crowding occurs more frequent. As a result of the increasing pedestrian demand in public space, the limits of pedestrian spaces are of increasing interest. Some research on the maximum demand that can flow through a cross-section…

Physics and Society · Physics 2019-08-21 Dorine C. Duives , Martijn Sparnaaij , Winnie Daamen , Serge P. Hoogendoorn

This paper proposes a crowd dynamic macroscopic model grounded on microscopic phenomenological observations which are upscaled by means of a formal mathematical procedure. The actual applicability of the model to real world problems is…

Mathematical Physics · Physics 2016-11-07 Luca Bruno , Alessandro Corbetta , Andrea Tosin

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

Urban space is highly heterogeneous, with population and human activities concentrating in localized centers. However, the global organization of such intra-urban centers remains poorly understood due to the lack of consistent, comparable…

Physics and Society · Physics 2026-01-21 Shuai Pang , Junlong Zhang , Yu Liu , Lei Dong

The Voronoi Density Estimator (VDE) is an established density estimation technique that adapts to the local geometry of data. However, its applicability has been so far limited to problems in two and three dimensions. This is because…

Voronoi diagrams appear in many areas in science and technology and have numerous applications. They have been the subject of extensive investigation during the last decades. Roughly speaking, they are a certain decomposition of a given…

Computational Geometry · Computer Science 2015-03-19 Daniel Reem

Given a network, the statistical ensemble of its graph-Voronoi diagrams with randomly chosen cell centers exhibits properties convertible into information on the network's large scale structures. We define a node-pair level measure called…

Restrictions of pedestrian flow could be triggered by directional changes, merging of streams and other changes or disturbances causing effects similar to bottlenecks given by geometrical narrowings. In this contribution we analyze…

Physics and Society · Physics 2015-08-28 Jun Zhang , Armin Seyfried

Understanding pedestrian dynamics is crucial for appropriately designing pedestrian spaces. The pedestrian fundamental diagram (FD), which describes the relationship between pedestrian flow and density within a given space, characterizes…

Adaptation and Self-Organizing Systems · Physics 2024-08-27 Kota Nagasaki , Keiichiro Fujiya , Toru Seo

Predicting the collective motion of a group of pedestrians (a crowd) under the vehicle influence is essential for the development of autonomous vehicles to deal with mixed urban scenarios where interpersonal interaction and vehicle-crowd…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Dongfang Yang , Linhui Li , Keith Redmill , Ümit Özgüner

In a system of noisy self-propelled particles with interactions that favor directional alignment, collective motion will appear if the density of particles increases beyond a certain threshold. In this paper, we argue that such a threshold…

Soft Condensed Matter · Physics 2010-03-29 Chiu Fan Lee

Employing partially overlapping overhead \kinectTMS sensors and automatic pedestrian tracking algorithms we recorded the crowd traffic in a rectilinear section of the main walkway of Eindhoven train station on a 24/7 basis. Beside giving…

Physics and Society · Physics 2017-07-04 Alessandro Corbetta , Jasper Meeusen , Chung-min Lee , Federico Toschi

This study investigates the dynamics of pedestrian crossing flows with varying crossing angles $\alpha$ to classify different scenarios and derive implications for crowd management. Probability density functions of four key…

Physics and Society · Physics 2024-12-03 Pratik Mullick

We present experimental results obtained for a one-dimensional flow using high precision motion capture. The full pedestrians' trajectories are obtained. In this paper, we focus on the fundamental diagram, and on the relation between the…

Physics and Society · Physics 2012-03-30 Asja Jelić , Cécile Appert-Rolland , Samuel Lemercier , Julien Pettré

When discussing urban life, pedestrian accessibility to all main services is crucial for fostering social interactions, promoting healthy lifestyles, and reducing pollution. This is especially relevant in coherent urban agglomerations like…

Physics and Society · Physics 2025-09-10 Adamo Cerioli , Barbara Caselli , Lea Jeanne Marinelli , Alessandro Vezzani , Raffaella Burioni

While various sensors have been deployed to monitor vehicular flows, sensing pedestrian movement is still nascent. Yet walking is a significant mode of travel in many cities, especially those in Europe, Africa, and Asia. Understanding…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-11 Chaeyeon Han , Pavan Seshadri , Yiwei Ding , Noah Posner , Bon Woo Koo , Animesh Agrawal , Alexander Lerch , Subhrajit Guhathakurta

We consider a kinetic theory approach to model the evacuation of a crowd from bounded domains. The interactions of a person with other pedestrians and the environment, which includes walls, exits, and obstacles, are modeled by using tools…

Numerical Analysis · Mathematics 2019-06-17 Daewa Kim , Annalisa Quaini

We describe two new -- stochastic-geometrical -- methods to obtain reliable velocity field statistics from N-body simulations and from any general density and velocity fluctuation field sampled at a discrete set of locations. These methods,…

Astrophysics · Physics 2007-05-23 Rien van de Weygaert , Francis Bernardeau

The goal of animal movement analysis is to understand how organisms explore and exploit the complex and varying environment. Animals usually exhibit varied and complicated movements, from apparently deterministic behaviors to highly random…

Quantitative Methods · Quantitative Biology 2014-01-17 Xiaofeng Liu , Ning Xu , Aimin Jiang