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Time discretization in the time-continuous pedestrian dynamics model SigmaEva

Abstract

Time-continuous models need to set a value of time-step to simulate a process using a computer. The assumed size of a time-step influences the computational performance. But not only a quick calculations is a criterion. The other one is the reliability of the simulation results. The discretization of time in computer simulation of pedestrian movement is considered in the paper. We consider a discrete-continuous approach which is becoming popular nowadays. Both aspects are investigated for the time-continuous SigmaEva pedestrian dynamics model. We use fundamental diagrams as a measure to estimate the simulation quality. It is shown that short and long time-steps are not reasonable.

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Notes

  1. Below we will use the word “particle” speaking about the person.

  2. In this discrete-continuous model we took inspiration from our previously presented stochastic CA FF model (Kirik and Vitova 2016; Kirik et al. 2011).

  3. Mainly with value > 0.9.

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Correspondence to Ekaterina Kirik.

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Kirik, E., Vitova, T. Time discretization in the time-continuous pedestrian dynamics model SigmaEva. Nat Comput (2022). https://doi.org/10.1007/s11047-022-09894-2

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  • DOI: https://doi.org/10.1007/s11047-022-09894-2

Keywords

  • Pedestrian simulation
  • Discrete-continuous model
  • Fundamental diagram
  • Flow rate
  • Time discretization
  • Time-step
  • Person's size

Mathematics Subject Classification

  • 70–10