An Expanded Concept of the “Borrowed Time” in Pedestrian Dynamics Simulations

Marcin Mycek (), Robert Lubaś (), Jakub Porzycki () and Jarosław Wąs ()
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Marcin Mycek: AGH University of Science and Technology, Department of Applied Computer Science
Robert Lubaś: AGH University of Science and Technology, Department of Applied Computer Science
Jakub Porzycki: AGH University of Science and Technology, Department of Applied Computer Science
Jarosław Wąs: AGH University of Science and Technology, Department of Applied Computer Science

A chapter in Traffic and Granular Flow '13, 2015, pp 257-263 from Springer

Abstract: Abstract Discretization in numerical simulations holds big advantage of decreasing complexity of calculations, allowing for faster and larger-scale simulations. However, such a procedure leads to emergence of unwanted phenomena due to finite space and/or time resolution. For this reason when space is discretized usually regular lattices are used as they preserve highest rotational and translational symmetry. Highest natural isotropy is obtained by using hexagonal grid. However, for pedestrian dynamics applications due to natural tendency of humans to build square-based buildings and typical big size of the cell square grid allows drastically better space representation. This paper describes how a borrowed time concept can be used to reduce anisotropy in pedestrian dynamics simulations using regular square grid without increasing complexity of the calculation. A simple case of pedestrian movement using expanded borrowed time concept is described and compared with basic approach. A method for generating static potential field with higher isotropy is shown as well.

Keywords: Hexagonal Grid; Grid Cell Size; Dijkstra Algorithm; Pedestrian Flow; Pedestrian Movement (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-10629-8_31

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DOI: 10.1007/978-3-319-10629-8_31

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