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A derived grid-based model for simulation of pedestrian flow
Authors:Minjie Chen  Günter Bärwolff  Hartmut Schwandt
Institution:Institut fiir Mathematik, Technische Universitaet Berlin, Berlin 10623, Germany
Abstract:We present a derived grid-based model for the simulation of pedestrian flow. Interactions among pedestrians are considered as the result of forces within a certain neighbourhood. Unlike the social force model, the forces here, as in Newtonian physics, are proportional to the inverse of the square of the distance. Despite the notion of neighbourhood and the underlying grid, this model differs from the existing cellular automaton (CA) models in that the pedestrians are treated as individuals. Bresenham’s algorithm for line rastering is applied in the step calculation. Project (No. 10134782) supported by the Regional Government of Berlin within the Grant Program ProFIT partially financed by the European Fund for Regional Development (EFRE)
Keywords:Bresenham’  s algorithm  Cellular automaton (CA)  Pedestrian dynamics  Social force model
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