dorsal/arxiv
View SchemaBasics of Modelling the Pedestrian Flow
| Authors | Armin Seyfried, Bernhard Steffen, Thomas Lippert |
|---|---|
| Categories | |
| ArXiv ID | physics/0506189 |
| URL | https://arxiv.org/abs/physics/0506189 |
| DOI | 10.1016/j.physa.2005.11.052 |
| Journal | Physica A, Volume 368, Issue 1, 1 August 2006, Pages 232-238 |
Abstract
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.
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"abstract": "For the modelling of pedestrian dynamics we treat persons as self-driven\nobjects moving in a continuous space. On the basis of a modified social force\nmodel we qualitatively analyze the influence of various approaches for the\ninteraction between the pedestrians on the resulting velocity-density relation.\nTo focus on the role of the required space and remote force we choose a\none-dimensional model for this investigation. For those densities, where in two\ndimensions also passing is no longer possible and the mean value of the\nvelocity depends primarily on the interaction, we obtain the following result:\nIf the model increases the required space of a person with increasing current\nvelocity, the reproduction of the typical form of the fundamental diagram is\npossible. Furthermore we demonstrate the influence of the remote force on the\nvelocity-density relation.",
"arxiv_id": "physics/0506189",
"authors": [
"Armin Seyfried",
"Bernhard Steffen",
"Thomas Lippert"
],
"categories": [
"physics.soc-ph",
"cond-mat.stat-mech"
],
"doi": "10.1016/j.physa.2005.11.052",
"journal_ref": "Physica A, Volume 368, Issue 1, 1 August 2006, Pages 232-238",
"title": "Basics of Modelling the Pedestrian Flow",
"url": "https://arxiv.org/abs/physics/0506189"
},
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