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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

Social robot navigation is an evolving research field that aims to find efficient strategies to safely navigate dynamic environments populated by humans. A critical challenge in this domain is the accurate modeling of human motion, which…

Human-Computer Interaction · Computer Science 2025-07-01 Tommaso Van Der Meer , Andrea Garulli , Antonio Giannitrapani , Renato Quartullo

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

In shared space environments, urban space is shared among different types of road users, who frequently interact with each other to negotiate priority and coordinate their trajectories. Instead of traffic rules, interactions among them are…

Multiagent Systems · Computer Science 2022-03-01 Suhair Ahmed , Fatema T. Johora , Jörg P. Müller

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

Predicting the future trajectories of pedestrians is a challenging problem that has a range of application, from crowd surveillance to autonomous driving. In literature, methods to approach pedestrian trajectory prediction have evolved,…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Simone Zamboni , Zekarias Tilahun Kefato , Sarunas Girdzijauskas , Noren Christoffer , Laura Dal Col

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

The Social Force Model of pedestrian dynamics is formulated in a way that a) most of its parameters do not have an immediate interpretation, b) often one single parameter has an impact on many aspects of walking behavior and c) a certain…

Physics and Society · Physics 2018-01-03 Tobias Kretz , Jochen Lohmiller , Peter Sukennik

A function for the dependence of flow on pedestrian density is derived analytically from the Social Force Model (SFM) for the case of a homogeneous population walking in the same direction and being in steady state. Assuming that only…

Physics and Society · Physics 2019-10-03 Tobias Kretz

We investigate the effect of groups on a bi-directional flow, by using novel computational methods. Our focus is on self-organisation phenomena, and more specifically on the time needed for the occurrence of pedestrian lanes, their…

Physics and Society · Physics 2019-10-11 Francesco Zanlungo , Luca Crociani , Zeynep Yücel , Takayuki Kanda

Most microscopic pedestrian navigation models use the concept of "forces" applied to the pedestrian agents to replicate the navigation environment. While the approach could provide believable results in regular situations, it does not…

Machine Learning · Computer Science 2020-04-24 Thanh-Trung Trinh , Dinh-Minh Vu , Masaomi Kimura

Moving in dynamic pedestrian environments is one of the important requirements for autonomous mobile robots. We present a model-based reinforcement learning approach for robots to navigate through crowded environments. The navigation policy…

Robotics · Computer Science 2020-11-10 Yuxiang Cui , Haodong Zhang , Yue Wang , Rong Xiong

Pedestrian trajectory prediction is a challenging task because of the complexity of real-world human social behaviors and uncertainty of the future motion. For the first issue, existing methods adopt fully connected topology for modeling…

Computer Vision and Pattern Recognition · Computer Science 2019-07-25 Lidan Zhang , Qi She , Ping Guo

It has been argued that the speed-density digram of pedestrian movement has an inflection point. This inflection point was found empirically in investigations of closed-loop single-file pedestrian movement. The reduced complexity of…

Physics and Society · Physics 2015-07-20 Tobias Kretz , Jochen Lohmiller , Johannes Schlaich

Usually, routing models in pedestrian dynamics assume that agents have fulfilled and global knowledge about the building's structure. However, they neglect the fact that pedestrians possess no or only parts of information about their…

Artificial Intelligence · Computer Science 2016-02-08 Erik Andresen , David Haensel , Mohcine Chraibi , Armin Seyfried

In urban cities, with increasing acceptability of shared spaces used by pedestrians and personal mobility devices (PMDs), there is need for pragmatic socially ac-ceptable path planning and navigation management policies. Hence, we propose a…

Robotics · Computer Science 2021-12-08 Sumit Mishra , Praveen Kumar Rajendran , Dongsoo Har

We construct a two dimensional Cellular Automata based model for the description of pedestrian dynamics. Wide range of complicated pattern formation phenomena in pedestrian dynamics are described in the model, e.g. lane formation, jams in a…

Cellular Automata and Lattice Gases · Physics 2012-11-29 Quntao Zhuang

In our urbanised societies, the management and regulation of traffic and pedestrian flows is of considerable interest for public safety, economic development, and the conservation of the environment. However, modelling and controlling the…

Physics and Society · Physics 2025-11-17 Antoine Tordeux , Cécile Appert-Rolland , Alexandre Nicolas , Armin Seyfried , Denis Ullmo

Pedestrian trajectory prediction is valuable for understanding human motion behaviors and it is challenging because of the social influence from other pedestrians, the scene constraints and the multimodal possibilities of predicted…

Computer Vision and Pattern Recognition · Computer Science 2020-10-13 Hao Xue , Du Q. Huynh , Mark Reynolds

Floating car data of car-following behavior in cities were compared to existing microsimulation models, after their parameters had been calibrated to the experimental data. With these parameter values, additional simulations have been…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Benno Tilch