A Model for Pedestrian Interaction with Anticipation
A Model for Pedestrian Interaction with Anticipation
This model represents a crowd of pedestrians and their interactions [1].
The main point of the model is that the interaction force between two pedestrians is not based on their distance (as it happens for, say, electrons) but rather on their time to collision, which is defined as “the duration of time for which two pedestrians could continue walking at their current velocities before colliding”.
So in this model you do not see nearby pedestrians repel each other if their trajectories are not such as to produce a collision in the next few seconds. That makes it possible for pedestrians to walk side by side and form clusters, as happens in the real world. On the other hand, two pedestrians about to collide will try to change their motion (in velocity direction and/or speed) to avoid the impact.