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Discrete Dynamics in Nature and Society
Volume 2017, Article ID 2757939, 7 pages
Research Article

An Orderly Untangling Model against Arching Effect in Emergency Evacuation Based on Equilibrium Partition of Crowd

1Hubei Key Laboratory of Construction and Management in Hydropower Engineering, Yichang, Hubei 443002, China
2College of Hydraulic & Environmental Engineering, China Three Gorges University, Yichang, Hubei 443002, China
3China Institute of Water Resources and Hydropower Research, Beijing 100038, China
4Sinohydro Bureau 7 Co., Ltd., Chengdu, Sichuan 610081, China

Correspondence should be addressed to Lianghai Jin; moc.qq@59450461

Received 19 March 2017; Revised 2 September 2017; Accepted 17 September 2017; Published 15 November 2017

Academic Editor: Cengiz Çinar

Copyright © 2017 Lianghai Jin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


To untangle the arching effect of a crowd as much as possible in emergency evacuations, we employ a theoretical model of equilibrium partition of crowd batch. Based on the shortest time arrangement of evacuation, the crowd is divided into appropriate batches according to the occupied time of evacuation channel in order to determine the occupant number of every evacuation passageway. The number of each batch crowd is calculated under the condition that the time of entering the evacuation passageway is equal to the time of crossing over the evacuation passageway. Subsequently, the shortest processing time (SPT) rule establishes the evacuation order of each batch. Taking a canteen of China Three Gorges University as a background, we obtain the waiting time from the first person to the last one entering the evacuation channel in every batch by simulation. This research utilizes data from simulations to observe an untangling process against the arching effect based on the SPT rule. More specifically, evacuation time only lasts for 180.1 s in order and is 1.6 s longer than that in disorder, but the arching effect disappears. Policy recommendations are offered to improve the evacuation scheme in disaster operations.