Basics of Modelling the Pedestrian Flow

By Armin Seyfried, Bernhard Steffen, T. Lippert. 2005

249 citations recorded by the source corpus.

For the modelling of pedestrian dynamics we treat persons as self-driven objects moving in a continuous space. On the basis of a modified social force model we qualitatively analyze the influence of various approaches for the interaction between the pedestrians on the resulting velocity–density relation. To focus on the role of the required space and remote force we choose a one-dimensional model for this investigation. For those densities, where in two dimensions also passing is no longer possible and the mean value of the velocity depends primarily on the interaction, we obtain the following result: If the model increases the required space of a person with increasing current velocity, the reproduction of the typical form of the fundamental diagram is possible. Furthermore, we demonstrate the influence of the remote force on the velocity–density relation.

Subfields: Control and Systems Engineering, Ocean Engineering, Safety, Risk, Reliability and Quality

View Paper: https://www.semanticscholar.org/paper/6246088609ebdb91b2525792763176e7cbd18671

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Armin Seyfried
2. Wolfram Klingsch
3. Tobias Kretz
4. Hubert Klüpfel
5. Christian Rogsch
6. Andreas Schadschneider

In Ocean Engineering

1. Armin Seyfried
2. Wolfram Klingsch
3. Andreas Schadschneider
4. Tobias Kretz
5. Hubert Klüpfel
6. Christian Rogsch
7. Dirk Helbing

In Safety, Risk, Reliability and Quality

1. Tobias Kretz
2. Armin Seyfried
3. Hubert Klüpfel
4. Wolfram Klingsch
5. Andreas Schadschneider
6. Christian Rogsch

Citations in the corpus

• Generalized centrifugal-force model for pedestrian dynamics. (2010, background): “In most works quantitative investigations of pedestrian dynamics were restricted to a specific scenario or geometry, like one-dimensional motion [14], behavior at bottlenecks [11, 19, 20], two-dimensional motion [12] or outflow from a room [15–18].”
• Evacuation Dynamics: Empirical Results, Modeling and Applications (2008, background): “To prevent this effect additional restrictions for the degrees of freedom have to been introduced, see for example [59], or the superposition of forces has to be discarded [177].”