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Potential Field Cellular Automata Model for Pedestrian Evacuation in a Domain with a Ramp
Author(s) -
Xiao-Xia Jian,
Xiaoning Zhang
Publication year - 2014
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2014/714267
Subject(s) - pedestrian , cellular automaton , computer science , domain (mathematical analysis) , function (biology) , field (mathematics) , simulation , potential field , transport engineering , engineering , mathematics , algorithm , physics , mathematical analysis , evolutionary biology , geophysics , pure mathematics , biology
We propose a potential field cellular automata model with a pushing force field to simulate the pedestrian evacuation in a domain with a ramp. We construct a cost potential depending on the ramp angle and introduce a function to evaluate the pushing force, which is related to the cost and the desired direction of pedestrian. With increase of crowd density, there is no empty space for pedestrian moving forward; pedestrian will purposefully push another pedestrian on her or his desired location to arrive the destination quickly. We analyse the relationship between the slope of ramp and the pushing force and investigate the changing of injured situations with the changing of the slope of ramp. When the number of pedestrians and the ramp angle arrive at certain critical points, the Domino effect will be simulated by this proposed model

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