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In this paper we derive and analyse mean-field models for the dynamics of groups of individuals undergoing a random walk. The random motion of individuals is only influenced by the perceived densities of the different groups present as well…

We present a new microscopic ODE-based model for pedestrian dynamics: the Gradient Navigation Model. The model uses a superposition of gradients of distance functions to directly change the direction of the velocity vector. The velocity is…

Mathematical Physics · Physics 2014-06-11 Felix Dietrich , Gerta Köster

In recent years, artificial intelligence (AI) technologies have found industrial applications in various fields. AI systems typically possess complex software and heterogeneous CPU/GPU hardware architecture, making it difficult to answer…

Software Engineering · Computer Science 2022-04-08 Vyacheslav Zhdanovskiy , Lev Teplyakov , Anton Grigoryev

We present a mathematical model to predict pedestrian motion over a finite horizon, intended for use in collision avoidance algorithms for autonomous driving. The model is based on a road map structure, and assumes a rational pedestrian…

Systems and Control · Computer Science 2018-03-14 Ivo Batkovic , Mario Zanon , Nils Lubbe , Paolo Falcone

Roger Hughes proposed a macroscopic model for pedestrian dynamics, in which individuals seek to minimize their travel time but try to avoid regions of high density. One of the basic assumptions is that the overall density of the crowd is…

Analysis of PDEs · Mathematics 2015-01-29 José A. Carrillo , Stephan Martin , Marie-Therese Wolfram

Understanding human motion is crucial for accurate pedestrian trajectory prediction. Conventional methods typically rely on supervised learning, where ground-truth labels are directly optimized against predicted trajectories. This amplifies…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Yizhou Huang , Yihua Cheng , Kezhi Wang

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

This article deals with the experimental study of pedestrian behaviours in some situations of one-dimensional traffic. Participants were pre-organized in a line, and asked to walk either in a straight line with a fast or slow leader, or to…

Physics and Society · Physics 2025-09-09 Cécile Appert-Rolland , Anne-Hélène Olivier , Julien Pettré

Stop-and-go waves in single-file movement are a phenomenon that is ob- served empirically in pedestrian dynamics. It manifests itself by the co-existence of two phases: moving and stopping pedestrians. We show analytically based on a…

Physics and Society · Physics 2015-12-04 Mohcine Chraibi , Antoine Tordeux , Andreas Schadschneider

We developed a machine vision system to automatically capture the dynamics of pedestrians under four different traffic scenarios. By considering the overhead view of each pedestrian as a digital object, the system processes the image…

Computer Vision and Pattern Recognition · Computer Science 2015-07-28 Louie Vincent A. Ngoho , Jaderick P. Pabico

A pedestrian model's computation speed impacts the model applicability. However, little attention has been given to this model property in the field of pedestrian dynamics modelling. As such, no framework exists to guide the systematic…

Physics and Society · Physics 2025-03-24 M. Sparnaaij , D. C. Duives , S. P. Hoogendoorn

The aim of the Hermes project is the development of a computer simulation based on evacuation assistant to support security services in case of emergency in complex buildings and thus to improve safety at mass events. One goal of the…

Physics and Society · Physics 2012-07-26 Jun Zhang , Wolfram Klingsch , Armin Seyfried

Traffic models based on cellular automata have high computational efficiency because of their simplicity in describing unrealistic vehicular behavior and the versatility of cellular automata to be implemented on parallel processing. On the…

Multiagent Systems · Computer Science 2013-02-05 Emanuele Rodaro , Öznur Yeldan

Autonomous vehicles (AVs) must share space with pedestrians, both in carriageway cases such as cars at pedestrian crossings and off-carriageway cases such as delivery vehicles navigating through crowds on pedestrianized high-streets. Unlike…

Computer Vision and Pattern Recognition · Computer Science 2020-08-12 Fanta Camara , Nicola Bellotto , Serhan Cosar , Dimitris Nathanael , Matthias Althoff , Jingyuan Wu , Johannes Ruenz , André Dietrich , Charles W. Fox

The major advances in intelligent transportation systems are pushing societal services toward autonomy where road management is to be more agile in order to cope with changes and continue to yield optimal performance. However, the…

Systems and Control · Electrical Eng. & Systems 2024-09-19 Dayuan Tan , Mohamed Younis , Wassila Lalouani , Shuyao Fan , Guozhi Song

In this paper we systematically apply the mathematical structures by time-evolving measures developed in a previous work to the macroscopic modeling of pedestrian flows. We propose a discrete-time Eulerian model, in which the space…

Mathematical Physics · Physics 2009-07-02 Benedetto Piccoli , Andrea Tosin

In recent years, numerous studies have been published dealing with the effect of individual characteristics of pedestrians on the fundamental diagram. These studies compared cumulative data on individuals in a group homogeneous in terms of…

Physics and Society · Physics 2022-03-01 Sarah Paetzke , Maik Boltes , Armin Seyfried

For transportation hubs, leveraging pedestrian flows for commercial activities presents an effective strategy for funding maintenance and infrastructure improvements. However, this introduces new challenges, as consumer behaviors can…

Physics and Society · Physics 2024-05-03 Danrui Li , Mathew Schwartz , Samuel S. Sohn , Sejong Yoon , Vladimir Pavlovic , Mubbasir Kapadia

We present a Pedestrian Dominance Model (PDM) to identify the dominance characteristics of pedestrians for robot navigation. Through a perception study on a simulated dataset of pedestrians, PDM models the perceived dominance levels of…

Robotics · Computer Science 2019-02-15 Tanmay Randhavane , Aniket Bera , Emily Kubin , Austin Wang , Kurt Gray , Dinesh Manocha

In this paper, we present a computational modeling approach for the dynamics of human crowds, where the spreading of an emotion (specifically fear) has an influence on the pedestrians' behavior. Our approach is based on the methods of the…

Physics and Society · Physics 2021-02-19 Daewa Kim , Kaylie O'Connell , William Ott , Annalisa Quaini
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