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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

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…

We investigate the role of conflicts in pedestrian traffic, i.e. situations where two or more people try to enter the same space. Therefore a recently introduced cellular automaton model for pedestrian dynamics is extended by a friction…

Statistical Mechanics · Physics 2009-11-07 Ansgar Kirchner , Katsuhiro Nishinari , Andreas Schadschneider

We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than real time since it includes only nearest-neighbour…

Statistical Mechanics · Physics 2007-05-23 Andreas Schadschneider

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 present simulations of congested traffic in circular and open systems with a non-local, gas-kinetic-based traffic model and a novel car-following model. The model parameters are all intuitive and can be easily calibrated. Micro- and…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Ansgar Hennecke , Vladimir Shvetsov , Martin Treiber

This letter propose a new model for characterizing traffic dynamics in scale-free networks. With a replotted road map of cities with roads mapped to vertices and intersections to edges, and introducing the road capacity L and its handling…

Physics and Society · Physics 2007-05-23 Mao-Bin Hu , Wen-Xu Wang , Rui Jiang , Qing-Song Wu , Bing-Hong Wang , Yong-Hong Wu

One of the objectives of the pedestrian analysis is to evaluate the effects of proposed policy on the pedestrian facilities before its implementation. The implementation of a policy without pedestrian analysis might lead to a very costly…

Physics and Society · Physics 2016-10-05 Kardi Teknomo , Yasushi Takeyama , Hajime Inamura

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

The motion of pedestrian crowds (e.g. for simulation of an evacuation situation) can be modeled as a multi-body system of self driven particles with repulsive interaction. We use a few simple situations to determine the simplest allowed…

Physics and Society · Physics 2009-12-04 B. Steffen

Accurate prediction of pedestrian trajectories is crucial for enhancing the safety of autonomous vehicles and reducing traffic fatalities involving pedestrians. While numerous studies have focused on modeling interactions among pedestrians…

Computer Vision and Pattern Recognition · Computer Science 2025-01-24 Mohammad Ali Rezaei , Fardin Ayar , Ehsan Javanmardi , Manabu Tsukada , Mahdi Javanmardi

Force-based models describe pedestrian dynamics in analogy to classical mechanics by a system of second order ordinary differential equations. By investigating the linear stability of two main classes of forces, parameter regions with…

This article studies clogging phenomena using a velocity-based model for pedestrian dynamics. First, a method to identify prolonged clogs in simulations was introduced. Then bottleneck simulations were implemented with different initial and…

Physics and Society · Physics 2021-05-11 Qiancheng Xu , Mohcine Chraibi , Armin Seyfried

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

We investigate dynamical properties of traffic flow using the stochastic car-following model with modified optimal velocity on circular road. The safety distance following the two-second rule and autonomous vehicles, acting as agents,…

Adaptation and Self-Organizing Systems · Physics 2020-03-18 Manit Klawtanong , Surachate Limkumnerd

A large number of models for pedestrian dynamics have been developed over the years. However, so far not much attention has been paid to their quantitative validation. Usually the focus is on the reproduction of empirically observed…

Physics and Society · Physics 2010-07-26 Andreas Schadschneider , Armin Seyfried

We consider the problem of vehicle following, where a safety distance to the leader vehicle is guaranteed at all times and a favourite velocity is reached as far as possible. We introduce the funnel cruise controller as a novel universal…

Optimization and Control · Mathematics 2019-07-10 Thomas Berger , Anna-Lena Rauert

Pedestrians are often encountered walking in the company of some social relations, rather than alone. The social groups thus formed, in variable proportions depending on the context, are not randomly organised but exhibit distinct features,…

Physics and Society · Physics 2021-07-29 Alexandre Nicolas , Fadratul Hafinaz

We report on two series of experiments, conducted in the frame of two different collaborations designed to study how pedestrians adapt their trajectories and velocities in groups or crowds. Strong emphasis is put on the motivations for the…

In this survey we consider mathematical models and methods recently developed to control crowd dynamics, with particular emphasis on egressing pedestrians. We focus on two control strategies: The first one consists in using special agents,…

Physics and Society · Physics 2021-05-25 Giacomo Albi , Emiliano Cristiani , Lorenzo Pareschi , Daniele Peri