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@INPROCEEDINGS{Subaih:1009015,
      author       = {Subaih, Rudina and Tordeux, Antoine and Maree, Mohammed},
      title        = {{S}ingle-file {P}edestrian {D}ynamics with {F}ollower
                      {I}nteractions},
      reportid     = {FZJ-2023-02575},
      year         = {2023},
      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.},
      month         = {Jun},
      date          = {2023-06-28},
      organization  = {PED23 conference, TU/Eindhoven
                       (Netherlands), 28 Jun 2023 - 30 Jun
                       2023},
      subtyp        = {After Call},
      cin          = {IAS-7},
      cid          = {I:(DE-Juel1)IAS-7-20180321},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / Pilotprojekt zur
                      Entwicklung eines palästinensisch-deutschen Forschungs- und
                      Promotionsprogramms 'Palestinian-German Science Bridge'
                      (01DH16027) / DFG project 446168800 -
                      Multi-Agent-Modellierung der Dynamik von dichten
                      Fußgängermengen: Vorhersagen $\&$ Verstehen (446168800)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(BMBF)01DH16027 /
                      G:(GEPRIS)446168800},
      typ          = {PUB:(DE-HGF)24},
      doi          = {10.34734/FZJ-2023-02575},
      url          = {https://juser.fz-juelich.de/record/1009015},
}