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Turns of different angles and discrete-continuous pedestrian dynamics model

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Abstract

In the paper we discuss a problem of correct simulation of movement of the people on the pathes with angles. The shortest path strategy does not work in this cases and gives unrealistic trajectories and increased evacuation time. The discrete-continuous pedestrian dynamics model have been discussed. Angles from \(90^\circ\) to \(180^\circ\) were considered: “L”-, “Z”- and “U”-shaped geometries. A way to identify such geometrical artifacts is proposed.

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Notes

  1. We assume that free movement speed is random normal distributed value with some mathematical expectation and dispersion (Kholshevnikov 2011; Kholshevnikov and Samoshin 2009).

  2. All parameters were unified for all involved particles: \(k_S^i=k_S\), \(k_W^i=k_W\), \(k_P^i=k_P\).

  3. The modelling space is covered by 2D grid and for each cell number of people passed a cell are summed

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Authors and Affiliations

  1. Institute of Computational Modelling, Russian Academy of Sciences, Siberian Branch, Akademgorodok 50/44, Krasnoyarsk, Russia, 660036

    Ekaterina Kirik, Tat’yana Vitova & Andrey Malyshev

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  1. Ekaterina Kirik
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  2. Tat’yana Vitova
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  3. Andrey Malyshev
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Correspondence to Ekaterina Kirik.

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Kirik, E., Vitova, T. & Malyshev, A. Turns of different angles and discrete-continuous pedestrian dynamics model. Nat Comput 18, 875–884 (2019). https://doi.org/10.1007/s11047-019-09764-4

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