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Recently the dynamic distance potential field (DDPF) was introduced as a computationally efficient method to make agents in a simulation of pedestrians move rather on the quickest path than the shortest. It can be considered to be an…

Multiagent Systems · Computer Science 2009-11-20 Tobias Kretz

This contribution investigates situations in pedestrian dynamics, where trying to walk the shortest path leads to largely different results than trying to walk the quickest path. A heuristic one-shot method to model the influence of the…

Multiagent Systems · Computer Science 2010-01-20 Tobias Kretz

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

Predicting an agent's future trajectory is a challenging task given the complicated stimuli (environmental/inertial/social) of motion. Prior works learn individual stimulus from different modules and fuse the representations in an…

Computer Vision and Pattern Recognition · Computer Science 2020-04-09 Shan Su , Cheng Peng , Jianbo Shi , Chiho Choi

The floor field model, which is a cellular automaton model for studying evacuation dynamics, is investigated and extended. A method for calculating the static floor field, which describes the shortest distance to an exit door, in an…

Statistical Mechanics · Physics 2007-05-23 Katsuhiro Nishinari , Ansgar Kirchner , Alireza Namazi , Andreas Schadschneider

When a large group of pedestrians moves around a corner, most pedestrians do not follow the shortest path, which is to stay as close as possible to the inner wall, but try to minimize the travel time. For this they accept to move on a…

Physics and Society · Physics 2009-05-28 Tobias Kretz

This contribution demonstrates the potential gain for the quality of results in a simulation of pedestrians when estimated remaining travel time is considered as a determining factor for the movement of simulated pedestrians. This is done…

Physics and Society · Physics 2014-07-15 Tobias Kretz

In the context of complex systems and, particularly, of protein folding, a physically meaningful distance is defined which allows to make useful statistical statements about the way in which energy differences are modified when two…

Biomolecules · Quantitative Biology 2007-12-19 Jose Luis Alonso , Pablo Echenique

Pedestrians often need to decide between different routes they can use to reach their intended destinations, both during emergencies and in their daily lives. This route-choice behavior is important in determining traffic management,…

Physics and Society · Physics 2019-12-19 Hongliu Li , Jun Zhang , Long Xia , Weiguo Song , Nikolai W. F. Bode

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

This contribution proposes a method to make agents in a microscopic simulation of pedestrian traffic walk approximately along a path of estimated minimal remaining travel time to their destination. Usually models of pedestrian dynamics are…

Physics and Society · Physics 2014-07-15 Tobias Kretz , Andree Grosse , Stefan Hengst , Lukas Kautzsch , Andrej Pohlmann , Peter Vortisch

The possibility that price dynamics is affected by its distance from a moving average has been recently introduced as new statistical tool. The purpose is to identify the tendency of the price dynamics to be attractive or repulsive with…

Physics and Society · Physics 2009-11-11 V. Alfi , F. Coccetti , M. Marotta , L. Pietronero , M. Takayasu

An average pedestrian flow through an exit is one of the most important index in evaluating pedestrian dynamics. In order to study the flow in detail, the floor field model, which is a crowd model by using cellular automaton, is extended by…

Statistical Mechanics · Physics 2009-06-01 Daichi Yanagisawa , Katsuhiro Nishinari

Discrete pedestrian simulation models are viable alternatives to particle based approaches based on a continuous spatial representation. The effects of discretisation, however, also imply some difficulties in modelling certain phenomena…

Multiagent Systems · Computer Science 2014-02-03 Stefania Bandini , Luca Crociani , Giuseppe Vizzari

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

The exact computation of the matching distance for multi-parameter persistence modules is an active area of research in computational topology. Achieving an easily obtainable exact computation of this distance would permit multi-parameter…

Algebraic Topology · Mathematics 2025-10-22 Asilata Bapat , Robyn Brooks , Celia Hacker , Claudia Landi , Barbara I. Mahler , Elizabeth R. Stephenson

For the planning of large pedestrian facilities, the movement of pedestrians in various situations has to be modelled. Many tools for pedestrian planning are based on cellular automata (CA), discrete in space and time, some use self driven…

Physics and Society · Physics 2009-12-04 B. Steffen , A. Seyfried

Distance functions between points in a domain are sometimes used to automatically plan a gradient-descent path towards a given target point in the domain, avoiding obstacles that may be present. A key requirement from such distance…

Robotics · Computer Science 2017-08-10 Renjie Chen , Craig Gotsman , Kai Hormann

Estimating collision probabilities between robots and environmental obstacles or other moving agents is crucial to ensure safety during path planning. This is an important building block of modern planning algorithms in many application…

Robotics · Computer Science 2024-09-09 Felix Herrmann , Sebastian Zach , Jacopo Banfi , Jan Peters , Georgia Chalvatzaki , Davide Tateo

A stochastic cellular automata (CA) model for pedestrian dynamics is presented. Our goal is to simulate different types of pedestrian movement, from regular to panic. But here we emphasize regular situations which imply that pedestrians…

Mathematical Physics · Physics 2009-09-30 Ekaterina Kirik , Tat'yana Yurgel'yan , Dmitriy Krouglov
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