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| Hauptseite > Publikationsdatenbank > Single-file Pedestrian Dynamics with Follower Interactions |
| Poster (After Call) | FZJ-2023-02575 |
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2023
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Please use a persistent id in citations: doi:10.34734/FZJ-2023-02575
Abstract: Single-file movement in pedestrian dynamics is when people walk one behind the other in a narrow space like a corridor without overtaking. Researchers study this kind of movement to understand how people move in crowds. They conduct experiments in closed spaces to keep the conditions simple and focus on the significant aspects of pedestrian's movement.Thus, one-dimensional modeling is a matter of great interest to researchers.They focus on how the speed of pedestrians relates to the distance from neighbors, as well as how it relates to the formation of stop-and-go waves.Most models in the literature only consider the distance and relative speed between a pedestrian and the person directly in front rather than considering the interactions with people on both sides. This is known as ``totally asymmetric'' modeling.In~\cite{ref5} the authors show that the distance behind simultaneously with the distance in front improves individual pedestrian speed predictions by 18\% compared to forward distance alone. The aforementioned result inspires the authors to extend the interaction in the stochastic optimal velocity (OV) model~\cite{ref6} with the pedestrian behind.In the proposed symmetric model, the speed depends on the distance to the pedestrian in front and the relative distance between the pedestrians in front and behind:\begin{equation} \begin{cases} ~\dot x_n(t)=F\big(\Delta x_n(t)+\alpha(\Delta x_n(t)-\Delta x_{n-1}(t))\big)+\xi_n(t),\\[2mm] ~d\xi_n(t)=-\gamma\xi_n(t)dt+\sigma dW_n(t). \end{cases} \label{modn}\end{equation}The parameter $\alpha$ can be adjusted to give more or less weight to the distance with the person behind. We compare the simulation results of the improved model to the original totally asymmetric approach for different settings of $\alpha$.The simulations for positive $\alpha$ show fewer backward movements, making the stop-and-go waves qualitatively more realistic. Furthermore, we found that the symmetric model with selected values for $\alpha$ better describes the fundamental diagram (space-speed relationship) and its scattering.
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