Modifications of the Helbing-Molnár-Farkas-Vicsek Social Force Model for Pedestrian Evolution

By Taras I. Lakoba, D. Kaup, Neal M. Finkelstein. International Conference on Advances in System Simulation, 2005

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Generalized centrifugal-force model for pedestrian dynamics. (2010, background): “Here strong overlapping of pedestrians [5, 6] or negative and high velocities [3, 8] occur which then has to be rectified by replacing the equation of motion (3) by other procedures.”
Abnormal crowd behavior detection using social force model (2009, background): “Generalized social force model is the cornerstone for many studies in simulation of crowd behavior [14] [29][26] in addition to the studies in computer graphics [21][5][25] for creating realistic animations of the crowd.”
Evacuation Dynamics: Empirical Results, Modeling and Applications (2008, background): “Only in the first publication [59] restrictions for the velocity are explicitly formulated to prevent velocities larger the the intended speed and other authors tried to improve the model by introducing more parameters [98].”
Predicting actions to act predictably: Cooperative partial motion planning with maximum entropy models (2016, methodology): “This original model was later refined in [5] to yield more accurate predictions, also for simulations with isolated pedestrians.”