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@INPROCEEDINGS{Cordes:906000,
      author       = {Cordes, Jakob and Chraibi, Mohcine and Tordeux, Antoine and
                      Schadschneider, Andreas},
      title        = {{T}ime-{T}o-{C}ollision {M}odels for {S}ingle-{F}ile
                      {P}edestrian {M}otion},
      journal      = {Collective dynamics},
      volume       = {6},
      issn         = {2366-8539},
      address      = {[Jülich]},
      publisher    = {[Forschungszentrum Jülich]},
      reportid     = {FZJ-2022-01173},
      pages        = {A133},
      year         = {2021},
      abstract     = {We apply the concept of time-to-collision (TTC) to the
                      modeling of pedestrian dynamics. The TTC combines the
                      spatial distances with the velocities to quantify the
                      'distance' to a collision. Therefore, it is a promising
                      candidate for modeling the interactions between pedestrians.
                      Empirical studies also indicate that the interaction between
                      pedestrians can be described by the TTC: While the pair
                      distribution of the distances, i.e. the probability of two
                      pedestrians to have a certain spatial distance, was found to
                      strongly depend on the relative velocity, the TTC accurately
                      parametrizes its pair distribution. However, there are still
                      few pedestrian models that use the TTC. After giving a
                      general definition of the TTC, we present the widely used
                      approximations for its calculation, especially in a
                      one-dimensional setting. Combined with a desired time-gap,
                      these give rise to different models, namely an
                      Optimal-Velocity model and a new Time-to-Collision model.
                      The TTC model exhibits, however, generic inconsistencies
                      which are related to the estimates we use to approximate the
                      speed of the predecessor. The estimates have a large impact
                      on the dynamics and must therefore be interpreted as
                      reflecting the pedestrians behavior, i.e. as anticipation
                      strategies. We propose new estimates for the predecessor's
                      speed. These give rise to a rich family of models based on
                      the TTC which are analyzed by means of linear stability
                      analysis and simulations.},
      month         = {Nov},
      date          = {2021-11-29},
      organization  = {Pedestrian and Evacuation Dynamics
                       2021, Sydney (Australia), 29 Nov 2021 -
                       30 Nov 2021},
      cin          = {IAS-7},
      ddc          = {380},
      cid          = {I:(DE-Juel1)IAS-7-20180321},
      pnm          = {5111 - Domain-Specific Simulation Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / DFG project
                      446168800 - Multi-Agent-Modellierung der Dynamik von dichten
                      Fußgängermengen: Vorhersagen Verstehen (446168800)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(GEPRIS)446168800},
      typ          = {PUB:(DE-HGF)16 / PUB:(DE-HGF)8},
      doi          = {10.17815/CD.2021.133},
      url          = {https://juser.fz-juelich.de/record/906000},
}