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Modeling fatigue of ascending stair evacuation with modified fine discrete floor field cellular automata
Authors:Zhijian Fu  Xingzhou Zhan  Lin Luo  Andreas Schadschneider  Junmin Chen
Institution:1. School of Transportation and Logistics, Southwest Jiaotong University, Chengdu, 611765, PR China;2. Institute for Theoretical Physics, University of Cologne, Koeln D-50937, Germany;3. Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu, 611765, PR China;4. National Engineering Laboratory of Big Data Application in Integrated Transportation, Southwest Jiaotong University, Chengdu, 611765, PR China;5. National United Engineering Laboratory of Integrated and Intelligent Transportation, Southwest Jiaotong University, Chengdu, 611765, PR China
Abstract:Fatigue even increases the complexity of the pedestrian dynamics which is regarded as a kind of nonlinear system, and might have a significant negative impact on the crowd evacuation. However, it has never been investigated completely and properly. Thus, the fine discrete floor field cellular automata model is modified by integrating the fatigue function to explore the influence of fatigue on the crowd ascending evacuation. The simulation fits well with the empirical data and the observations quantitatively and qualitatively, indicating the model captures the main features of evacuation considering fatigue impact. As a prediction, without merging streams, compared with the case of walking in constant speed, when fatigue is considered, it takes 71.4% longer for all persons to enter the stairs and 87.2% longer to evacuate. With merging streams, fatigue has little impact on the inflow, while it makes the total evacuation time 84.2% longer.
Keywords:Fatigue  Ascending evacuation  Floor field cellular automata  Merging streams
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