A stochastic optimal velocity model for pedestrian flow

Tordeux, Antoine; Schadschneider, Andreas

doi:10.1007/978-3-319-32152-3_49

Contribution to a conference proceedings

FZJ-2016-01239

A stochastic optimal velocity model for pedestrian flow

Tordeux, A. (Corresponding author)FZJ* ; Schadschneider, A.

2016
Springer International Publishing Cham
ISBN: 978-3-319-32151-6 (print), 978-3-319-32152-3 (electronic)

Parallel Processing and Applied Mathematics
11th International Conference on Parallel Processing and Applied Mathematics, PPAM'15, Krakow, Poland, 6 Sep 2015 - 9 Sep 2015 Cham : Springer International Publishing, Lecture Notes in Computer Science 9574, 528-538 (2016) [10.1007/978-3-319-32152-3_49]

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Please use a persistent id in citations: doi:10.1007/978-3-319-32152-3_49

Abstract: We propose a microscopic stochastic model to describe 1D pedestrian trajectories obtained in laboratory experiments. The model is based on optimal velocity (OV) functions and an additive noise determined by the inertial Ornstein-Uhlenbeck process. After statistical estimation of the OV function and noise parameters, we explore the model by simulation. The results show that the stochastic approach gives a good description of the characteristic relation between speed and spacing (fundamental diagram) and its variability. Moreover, it can reproduce the observed stop-and-go waves, bimodal speed distributions, and nonzero speed or spacing autocorrelations.

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