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Generalized Collision-free Velocity Model for Pedestrian Dynamics
- FEMTC2018. October 1-3,2018. Gaithersburg, Maryland
Motivation
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Generalized Collision-free Velocity Model for Pedestrian Dynamics - - PowerPoint PPT Presentation
Generalized Collision-free Velocity Model for Pedestrian Dynamics - - PowerPoint PPT Presentation
Generalized Collision-free Velocity Model for Pedestrian Dynamics FEMTC2018. October 1-3,2018. Gaithersburg, Maryland Qiancheng Xu Institute for Advanced Simulation Forschungszentrum Jlich GmbH q.xu@fz-juelich.de Motivation Problems Aim:
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Collision-free velocity model
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) ( ) (min spacing e spacing Speed V
i i i
=
Model structure:
Speed Moving direction
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Extension to the model
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From circle to dynamical ellipse:
- Ellipse can describe the projection of pedestrian in 2D plane better.
- Calculation between ellipses is more complex.
- The distance between ellipse is estimated.
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Comparison between circle and ellipse
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- Width: 1.0 ~ 2.5 m
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Comparison between circle and ellipse
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- Length: 26 m
- Width: 1.8 m
- Nped: 15 ~ 175
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Comparison between circle and ellipse
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Circle: Ellipse:
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New direction model
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- 1. New way to calculate moving direction ( to eliminate backward movement )
Influence of neighbors on pedestrian i:
- Always perpendicular to desired moving direction of pedestrian i
- Towards the left side of e0 when neighbors are on the right side or front of e0
- Towards the right side of e0 when neighbors are on the left side of e0
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New direction model
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- 2. Dynamical vision area ( to reduce probability of blocking)
Areai :
- Based on moving direction and desired direction of
pedestrian i.
- Pedestrians in Areai don't influence the moving
direction of pedestrian i.
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New direction model
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Original model: New model:
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New direction model
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Backward moving index: Shaking index:
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Summary
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Conclusion:
- 1. Difference between the performance of circle and ellipse is not very obvious
in velocity model. The reason may be the approximation in the distance calculation between ellipses.
- 2. New direction sub-model can eliminate unusual behavior of agents in
simulations.
Outlook:
Clogging occurs in front of the bottleneck sometimes when the width of bottleneck is very small.
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