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This paper introduces a space-continuous force-based model for simulating pedestrian dynamics. The main interest of this work is the quantitative description of pedestrian movement through a bottleneck. Measurements of flow and density will…

Physics and Society · Physics 2016-11-15 Mohcine Chraibi , Armin Seyfried , Andreas Schadschneider , Wolfgang Mackens

The standard definition of pedestrian density produces scattered values, hence, many approaches have been developed to improve the features of the estimated density. This paper provides a review of generally applied methods and presents a…

Physics and Society · Physics 2023-07-18 Jana Vacková , Marek Bukáček

Many agent based simulation approaches have been proposed for pedestrian flow. As such models are applied e.g.\ in evacuation studies, the quality and reliability of such models is of vital interest. Pedestrian trajectories are functional…

Physics and Society · Physics 2016-03-23 M. Chraibi , T. Ensslen , H. Gottschalk , M. Saadi , A. Seyfried

For decades, researchers and practitioners typically measure macroscopic traffic flow variables, i.e., density, flow, and speed, using time or space cuts, and then construct the fundamental diagrams of traffic flow. With the advent of…

Physics and Society · Physics 2025-07-23 Zhengbing He , Cathy Wu

In this paper, we introduce a discrete time-finite state model for pedestrian flow on a graph in the spirit of the Hughes dynamic continuum model. The pedestrians, represented by a density function, move on the graph choosing a route to…

Numerical Analysis · Mathematics 2016-04-19 Fabio Camilli , Adriano Festa , Silvia Tozza

This paper presents a novel incremental learning algorithm for pedestrian motion prediction, with the ability to improve the learned model over time when data is incrementally available. In this setup, trajectories are modeled as simple…

Robotics · Computer Science 2019-11-22 Golnaz Habibi , Nikita Japuria , Jonathan P. How

Extensive research in pedestrian dynamics has primarily focused on crowded conditions and associated phenomena, such as lane formation, evacuation, etc. Several force-based models have been developed to predict the behavior in these…

Physics and Society · Physics 2026-02-11 Kanika Jain , Shankar Prawesh , Indranil Saha Dalal , Anurag Tripathi

In this paper, we assess the state of the art in pedestrian trajectory prediction within the context of generating single trajectories, a critical aspect aligning with the requirements in autonomous systems. The evaluation is conducted on…

Machine Learning · Computer Science 2024-04-08 Nico Uhlemann , Felix Fent , Markus Lienkamp

Traffic waves can rise even from single lane car-following behaviour. To better understand and mitigate traffic waves, it is necessary to use analytical tools like mathematical models, data analysis, and micro-simulations that can capture…

Physics and Society · Physics 2023-10-10 Nour Khoudari , Rabie Ramadan , Megan Ross , Benjamin Seibold

The development of mechanistic models of biological systems is a central part of Systems Biology. One major task in developing these models is the inference of the correct model parameters. Due to the size of most realistic models and their…

Quantitative Methods · Quantitative Biology 2016-06-28 Jan Mikelson , Mustafa Khammash

We present an integrated microsimulation framework to estimate the pedestrian movement over time and space with limited data on directional counts. Using the activity-based approach, simulation can compute the overall demand and trajectory…

Optimization and Control · Mathematics 2017-02-10 Alexis Pibrac , Bilal Farooq

Several spatially continuous pedestrian dynamics models have been validated against empirical data. We try to reproduce the experimental fundamental diagram (velocity versus density) with simulations. In addition to this quantitative…

Physics and Society · Physics 2010-01-20 Andrea Portz , Armin Seyfried

In this paper we study hyperbolic and parabolic nonlinear partial differential equation models, which describe the evolution of two intersecting pedestrian flows. We assume that individuals avoid collisions by sidestepping, which is encoded…

Analysis of PDEs · Mathematics 2017-04-20 Sabine Hittmeir , Helene Ranetbauer , Christian Schmeiser , Marie-Therese Wolfram

In many biological processes heterogeneity within cell populations is an important issue. In this work we consider populations where the behavior of every single cell can be described by a system of ordinary differential equations.…

Molecular Networks · Quantitative Biology 2010-02-25 J. Hasenauer , S. Waldherr , M. Doszczak , P. Scheurich , F. Allgower

In this paper we propose a multiscale traffic model, based on the family of Generic Second Order Models, which integrates multiple trajectory data into the velocity function. This combination of a second order macroscopic model with…

Numerical Analysis · Mathematics 2022-07-29 Caterina Balzotti , Maya Briani

For simulation models of pedestrian dynamics there are always the issues of calibration and validation. These are usually done by comparing measured properties of the dynamics found in observation, experiments and simulation in certain…

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

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

Staircases play an essential role in crowd dynamics, allowing pedestrians to flow across large multi-level public facilities such as transportation hubs, and office buildings. Achieving a robust understanding of pedestrian behavior in these…

In this article the dynamics of pedestrian streams in four different scenarios are compared empirically to investigate the influence of boundary conditions on it. The Voronoi method, which allows high resolution and small fluctuations of…

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

We present a strategy capable of describing basic features of the dynamics of crowds. The behaviour of the crowd is considered from a twofold perspective. We examine both the large scale behaviour of the crowd, and phenomena happening at…

Mathematical Physics · Physics 2011-08-09 Joep Evers
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