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基于熵理论的高密度人群状态判断模型。

A high-density crowd state judgment model based on entropy theory.

机构信息

School of Energy and Safety Engineering, Tianjin Chengjian University, Tianjin, PR China.

出版信息

PLoS One. 2021 Sep 2;16(9):e0255468. doi: 10.1371/journal.pone.0255468. eCollection 2021.

DOI:10.1371/journal.pone.0255468
PMID:34473772
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8412320/
Abstract

A high-density crowd state is prone to cause large-scale crowd stampede accidents that seriously threaten the people's security and property. The key to preventing crowd congestion is to accurately predict the location and time of crowd events, particularly when there is a high density of people. In this paper, the entropy theory is used to characterize the state of a crowded system. The theoretical entropy Sr and the actual entropy S of the crowd system are obtained according to the area occupied by the different crowd state The maximum entropy value and the actual entropy value under different conditions of the system are compared to judge the state of crowded extent. The results show that the model is practical and effective. According to the situation of the crowd, different management and evacuation measures are considered to prevent the occurrence of crowd accidents.

摘要

高密度人群状态容易导致大规模人群踩踏事故,严重威胁人民的安全和财产。预防人群拥堵的关键是准确预测人群事件的地点和时间,特别是在人群密度较高时。本文利用熵理论来刻画拥挤系统的状态。根据不同人群状态所占据的面积,得到人群系统的理论熵 Sr 和实际熵 S。将系统在不同条件下的最大熵值与实际熵值进行比较,判断拥挤程度的状态。结果表明,该模型实用有效。根据人群的情况,考虑采取不同的管理和疏散措施,以防止人群事故的发生。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ff15/8412320/1917aa02469b/pone.0255468.g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ff15/8412320/b22a9d2f4f24/pone.0255468.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ff15/8412320/997a940d1715/pone.0255468.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ff15/8412320/33f13ed8ad99/pone.0255468.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ff15/8412320/c1d244d6dd81/pone.0255468.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ff15/8412320/731afd9a668c/pone.0255468.g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ff15/8412320/1917aa02469b/pone.0255468.g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ff15/8412320/b22a9d2f4f24/pone.0255468.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ff15/8412320/997a940d1715/pone.0255468.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ff15/8412320/33f13ed8ad99/pone.0255468.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ff15/8412320/c1d244d6dd81/pone.0255468.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ff15/8412320/731afd9a668c/pone.0255468.g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ff15/8412320/1917aa02469b/pone.0255468.g006.jpg

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本文引用的文献

1
Dynamics of crowd disasters: an empirical study.群体灾难的动态:一项实证研究。
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Apr;75(4 Pt 2):046109. doi: 10.1103/PhysRevE.75.046109. Epub 2007 Apr 18.