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This paper extends the forced-oscillation-based reduced-order model of walking to a model with ankles and feet. A human-inspired paradigm was designed for the ankle dynamics, which results in improved gait characteristics compared to the…

Robotics · Computer Science 2025-09-26 Chathura Semasinghe , Siavash Rezazadeh

We present applications of a cellular automaton approach to pedestrian dynamics introduced in [1,2]. It is shown that the model is able to reproduce collective effects and self-organization phenomena encountered in pedestrian traffic, e.g.…

Statistical Mechanics · Physics 2007-05-23 Carsten Burstedde , Ansgar Kirchner , Kai Klauck , Andreas Schadschneider , Johannes Zittartz

A discrete model of pedestrian motion is presented that is implemented in the Floor field- and Agentbased Simulation Tool (F.A.S.T.) which has already been applicated to a variety of real life scenarios.

Multiagent Systems · Computer Science 2008-08-19 Tobias Kretz , Michael Schreckenberg

Different families of models first developed for fluid mechanics have been extended to road, pedestrian, or intracellular transport. These models allow to describe the systems at different scales and to account for different aspects of…

Physics and Society · Physics 2017-09-20 Cecile Appert-Rolland

Pedestrian dynamics exhibits various collective phenomena. Here we study bidirectional pedestrian flow in a floor field cellular automaton model. Under certain conditions, lane formation is observed. Although it has often been studied…

Physics and Society · Physics 2012-07-25 Stefan Nowak , Andreas Schadschneider

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

Robust agent-based models for pedestrian dynamics, which can predict the motion of pedestrians in various situations without specific adjustment of the model or its parameters, are highly desirable. But the modeller's task is challenging,…

Physics and Society · Physics 2023-11-01 Iñaki Echeverría-Huarte , Alexandre Nicolas

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…

Physics and Society · Physics 2025-03-10 Caspar A. S. Pouw , Geert G. M. van der Vleuten , Alessandro Corbetta , Federico Toschi

We use analytical methods to investigate cellular automata for traffic flow. Two different mean-field approaches are presented, which we call site-oriented and car-oriented, respectively. The car-oriented mean-field theory yields the exact…

Condensed Matter · Physics 2007-05-23 Andreas Schadschneider , Michael Schreckenberg

We propose in this paper a minimal speed-based pedestrian model for which particle dynamics are intrinsically collision-free. The speed model is an optimal velocity function depending on the agent length (i.e.\ particle diameter), maximum…

Physics and Society · Physics 2015-12-19 Antoine Tordeux , Mohcine Chraibi , Armin Seyfried

Following the paradigm set by attraction-repulsion-alignment schemes, a myriad of individual based models have been proposed to calculate the evolution of abstract agents. While the emergent features of many agent systems have been…

Physics and Society · Physics 2019-05-03 Rafael Bailo , José A. Carrillo , Pierre Degond

A kind of fluid dynamic description for the collective movement of pedestrians is developed on the basis of a Boltzmann-like gaskinetic model. The differences between these pedestrian specific equations and those for ordinary fluids are…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

Single-file dynamics has been studied intensively, both experimentally and theoretically. It shows interesting collective effects, such as stop-and-go waves, which are validation cornerstones for any agent-based modeling approach of traffic…

Physics and Society · Physics 2023-08-16 Jakob Cordes , Mohcine Chraibi , Antoine Tordeux , Andreas Schadschneider

Pedestrian trajectory prediction plays an important role in autonomous driving systems and robotics. Recent work utilizing prominent deep learning models for pedestrian motion prediction makes limited a priori assumptions about human…

Robotics · Computer Science 2024-03-12 Honghui Wang , Weiming Zhi , Gustavo Batista , Rohitash Chandra

The collision-free velocity model is a microscopic pedestrian model, which despite its simplicity, reproduces fairly well several self-organization phenomena in pedestrian dynamics. The model consists of two components: a direction…

Physics and Society · Physics 2019-10-02 Qiancheng Xu , Mohcine Chraibi , Antoine Tordeux , Jun Zhang

Predicting trajectories of pedestrians based on goal information in highly interactive scenes is a crucial step toward Intelligent Transportation Systems and Autonomous Driving. The challenges of this task come from two key sources: (1)…

Computer Vision and Pattern Recognition · Computer Science 2023-02-16 Weicheng Zhang , Hao Cheng , Fatema T. Johora , Monika Sester

A recently introduced cellular automaton model for the description of traffic flow is investigated. It generalises asymmetric exclusion models which have attracted a lot of interest in the past. We calculate the so-called fundamental…

Condensed Matter · Physics 2009-10-22 A. Schadschneider , M. Schreckenberg

We propose the Proxemic Floor Field Model as an extension of the Floor Field Model, which is one of the successful models describing the pedestrian dynamics. Proxemic Floor Field is the Floor Field which corresponds to the effect of…

Physics and Society · Physics 2012-07-16 Takahiro Ezaki , Daichi Yanagisawa , Kazumichi Ohtsuka , Katsuhiro Nishinari

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

It is suggested that the motion of pedestrians can be described as if they would be subject to `social forces'. These `forces' are not directly exerted by the pedestrians' personal environment, but they are a measure for the internal…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Peter Molnar