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Mathematical model of single-source multi-destinations evacuation and optimization of emergency exits
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Lingchang ZHOU, Yin LIANG, Yanping LAI
China Safety Science Journal | 2025, 35(3) : 187 - 193
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China Safety Science Journal | 2025, 35(3): 187-193
Public safety
Mathematical model of single-source multi-destinations evacuation and optimization of emergency exits
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Lingchang ZHOU, Yin LIANG, Yanping LAI
Affiliations
  • School of Energy and Safety Engineering,Tianjin Chengjian University,Tianjin 300384,China
Published: 2025-03-28 doi: 10.16265/j.cnki.issn1003-3033.2025.03.1994
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In order to improve the evacuation efficiency of public buildings and reduce casualties caused by emergencies,in view of the optimization problems of emergency exits and evacuation plans,a mathematical model and algorithm for the single-source multi-sink evacuation problem were proposed. Firstly,all evacuation paths were identified using path algorithm and sorted based on evacuation time. Then,the recursive formula for calculating evacuation time was derived based on the User Equilibrium (UE) principle and k-shortest path. The capacity allocation issues of each evacuation path at intersections were analyzed. After that then the optimization strategy for emergency exits is obtained. Finally,taking a building as an example,the evacuation network was established and calculated to validate the effectiveness of the algorithm and optimization strategy. The results show that the evacuation efficiency of the building network increases gradually with the increase in the number of evacuees,and the rate of change stabilizes after reaching a certain threshold value,Evacuation efficiency is closely associated with the total traffic capacity of specific emergency exits. Through the optimization of specific emergency exits,the evacuation efficiency of the network is enhanced,evacuation time can be reduced,and the optimization effect becomes more pronounced as the number of evacuees increases.

single-source multi-destinations  /  emergency exit  /  evacuation model  /  User Equilibrium principle  /  path algorithm
Lingchang ZHOU, Yin LIANG, Yanping LAI. Mathematical model of single-source multi-destinations evacuation and optimization of emergency exits[J]. China Safety Science Journal, 2025 , 35 (3) : 187 -193 . DOI: 10.16265/j.cnki.issn1003-3033.2025.03.1994
Year 2025 volume 35 Issue 3
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doi: 10.16265/j.cnki.issn1003-3033.2025.03.1994
  • Receive Date:2024-10-15
  • Online Date:2025-07-05
  • Published:2025-03-28
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  • Received:2024-10-15
  • Revised:2024-12-17
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    School of Energy and Safety Engineering,Tianjin Chengjian University,Tianjin 300384,China
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https://castjournals.cast.org.cn/joweb/zgaqkxxb/EN/10.16265/j.cnki.issn1003-3033.2025.03.1994
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
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占总种数比例
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种数
Number of
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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