Corpus ID: 208267602

Crowding and queuing at exits and bottlenecks

@article{Fischer2019CrowdingAQ,
  title={Crowding and queuing at exits and bottlenecks},
  author={M. Fischer and Gaspard Jankowiak and M. Wolfram},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}
Experiments with pedestrians revealed that the geometry of the domain, as well as the incentive of pedestrians to reach a target as fast as possible have a strong influence on the overall dynamics. In this paper we propose and validate different mathematical models on the micro-and macroscopic level to study the influence of both effects. We calibrate the models with experimental data and compare the results on the micro-as well as macroscopic level. Our numerical simulations reproduce… Expand
1 Citations
Crowds in front of bottlenecks at entrances from the perspective of physics and social psychology
TLDR
It is shown that the density of persons per square metre depends on motivation and also increases continuously with increasing corridor width, meaning that a density reduction can be achieved by a reduction of space. Expand

References

SHOWING 1-10 OF 41 REFERENCES
Comparative Study of Macroscopic Pedestrian Models
TLDR
This study shows that first order models are incapable of reproducing stop-and-go waves and blocking at exits. Expand
Analysis of Empirical Trajectory Data of Pedestrians
TLDR
Video analysis of the crowd disaster in Mina, Kingdom of Saudi-Arabia, in 2006 gives an empirical base for analysis which reveals two transitions of the flow; one transition from laminar flow to stop-and-go flow and a second transition to turbulent flow. Expand
Towards a Calibration of the Floor Field Cellular Automaton
We discuss several aspects related to the validation and calibration of cellular automata based models of pedestrian dynamics. Empirical fundamental diagrams obtained in large-scale experiments areExpand
Parameter Estimation for Macroscopic Pedestrian Dynamics Models from Microscopic Data
TLDR
This paper develops a framework for parameter estimation in macroscopic pedestrian models using individual trajectories -- microscopic data and discusses identifiability of the parameters appearing in the fundamental diagram from trajectories of individuals, and introduces optimization and Bayesian methods to perform the identification. Expand
Quantitative analysis of pedestrian counterflow in a cellular automaton model.
TLDR
It is found that the basic floor field model overestimates the tendency towards a gridlock compared to experimental bounds, so an anticipation mechanism is introduced which reduces the jamming probability. Expand
Time-Evolving Measures and Macroscopic Modeling of Pedestrian Flow
This paper introduces a new model of pedestrian flow, formulated within a measure-theoretic framework. It consists of a macroscopic representation of the system via a family of measures which, pushedExpand
Simulation of pedestrian dynamics using a two dimensional cellular automaton
TLDR
A two-dimensional cellular automaton model to simulate pedestrian traffic with exclusion statistics and parallel dynamics, similar to chemotaxis, but with pedestrians following a virtual rather than a chemical trace is proposed. Expand
Crowding and Queuing in Entrance Scenarios: Influence of Corridor Width in Front of Bottlenecks
TLDR
The results of an entrance experiment investigating the effect of the corridor width in front of a bottleneck on the density suggest that also the number of participants significantly influences the occurrence of pushing and the level of density. Expand
Lane Formation by Side-Stepping
TLDR
A system of nonlinear partial differential equations, which describes the evolution of two pedestrian groups moving in opposite directions, is studied and the existence of special stationary solutions are discussed and existence of global in time bounded weak solutions is proved. Expand
Physics-based modeling and data representation of pairwise interactions among pedestrians
TLDR
A general approach based on a graph representation of pedestrian trajectories, which allows the model to effectively operate complexity reduction for efficient data classification and selection in the case of binary collision avoidance. Expand
...
1
2
3
4
5
...