菱形网格的行人疏散元胞自动机模型

永贵; 黄海军; 许岩

doi:10.7498/aps.62.010506

摘要

利用改进的层次域元胞自动机模型, 研究了正菱形网格空间中的行人疏散问题. 这类网格可以避免行人贴近房间墙壁或障碍物, 转移概率考虑了各种逃生受阻因素. 数值仿真显示, 出口处的行人分布与实验快照展示的行人分布基本相同, 疏散时间和出口宽度呈线性关系, 行人流率接近实验结果.

关键词:

The modified floor field cellular automata model is used to simulate the pedestrian evacuation in rooms which are discretized into squared rhombus cells. This discretization can effectively stop pedestrians to move against walls or obstacles. The pedestrian transition probabilities from one cell to neighbor cells are computed by considering various factors influencing evacuation. Simulation results show that the pedestrian distribution nearby exit is basically the same as that indicated by the experimental snapshot, the evacuation time increases almost linearly with exit width, and the flow rate from exit is close to the one observed from experiment.

Keywords:

作者及机构信息

1.
北京航空航天大学经济管理学院, 北京 100191;

2.
内蒙古财经大学统计与数学学院, 呼和浩特 010051

基金项目: 国家重点基础研究发展计划(批准号: 2012CB725400)资助的课题.

Authors and contacts

1.
School of Economics and Management, Beihang University, Beijing 100191, China;

2.
School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Huhhot 010051, China

Funds: Project supported by the National Basic Research Program of China (Grant No. 2012CB725400).

参考文献

[1]	Helbing D, Molnar P 1995 Phys. Rev. E 51 4282
[2]	Helbing D, Farkas I, Vicsek T 2000 Nature 407 487
[3]	Muramatsu M, Irie T, Nagatani T 1999 Physica A 267 487
[4]	Muramatsu M, Nagatani T 2000 Physica A 275 281
[5]	Muramatsu M, Nagatani T 2000 Physica A 286 377
[6]	Burstedde C, Klauck K, Schadschneider A, Zittartz J 2001 Physica A 295 507
[7]	Kirchner A, Schadschneider A 2002 Physica A 312 260
[8]	Song W G, Yu W F, Wang B H, Fan W C 2006 Physica A 371 658
[9]	Guo R Y, Huang H J 2008 J. Phys. A: Math. Theor. 41 385104
[10]	Nagai R, Fukamachi M, Nagatani T 2006 Physica A 367 449
[11]	Guo R Y, Huang H J, Wong S C 2011 Transport. Res. B 45 490
[12]	Seyfried A, Passon O, Steffen B, Boltes M 2009 Transport. Sci. 43 395
[13]	Xu Y, Huang H J 2012 Physica A 391 991
[14]	Zheng X P, Cheng Y 2011 Physica A 390 1042
[15]	Tanimoto J, Hagishima A, Tanaka Y 2010 Physica A 389 5611
[16]	Yue H, Shao C F, Guan H Z, Duan L M 2010 Acta Phys. Sin. 59 4499 (in Chinese) [岳昊, 邵春福, 关宏志, 段龙梅 2010 物理学报 59 4499]
[17]	Zhou J W, Kuang H, Liu M R, Kong L J 2009 Acta Phys. Sin. 58 3001 (in Chinese) [周金旺, 邝华, 刘慕仁, 孔令江 2009 物理学报 58 3001]
[18]	Sun Z, Jia B, Li X G 2012 Acta Phys. Sin. 61 100508 (in Chinese) [孙泽, 贾斌, 李新刚 2012 物理学报 61 100508]

施引文献

[1]	Helbing D, Molnar P 1995 Phys. Rev. E 51 4282
[2]	Helbing D, Farkas I, Vicsek T 2000 Nature 407 487
[3]	Muramatsu M, Irie T, Nagatani T 1999 Physica A 267 487
[4]	Muramatsu M, Nagatani T 2000 Physica A 275 281
[5]	Muramatsu M, Nagatani T 2000 Physica A 286 377
[6]	Burstedde C, Klauck K, Schadschneider A, Zittartz J 2001 Physica A 295 507
[7]	Kirchner A, Schadschneider A 2002 Physica A 312 260
[8]	Song W G, Yu W F, Wang B H, Fan W C 2006 Physica A 371 658
[9]	Guo R Y, Huang H J 2008 J. Phys. A: Math. Theor. 41 385104
[10]	Nagai R, Fukamachi M, Nagatani T 2006 Physica A 367 449
[11]	Guo R Y, Huang H J, Wong S C 2011 Transport. Res. B 45 490
[12]	Seyfried A, Passon O, Steffen B, Boltes M 2009 Transport. Sci. 43 395
[13]	Xu Y, Huang H J 2012 Physica A 391 991
[14]	Zheng X P, Cheng Y 2011 Physica A 390 1042
[15]	Tanimoto J, Hagishima A, Tanaka Y 2010 Physica A 389 5611
[16]	Yue H, Shao C F, Guan H Z, Duan L M 2010 Acta Phys. Sin. 59 4499 (in Chinese) [岳昊, 邵春福, 关宏志, 段龙梅 2010 物理学报 59 4499]
[17]	Zhou J W, Kuang H, Liu M R, Kong L J 2009 Acta Phys. Sin. 58 3001 (in Chinese) [周金旺, 邝华, 刘慕仁, 孔令江 2009 物理学报 58 3001]
[18]	Sun Z, Jia B, Li X G 2012 Acta Phys. Sin. 61 100508 (in Chinese) [孙泽, 贾斌, 李新刚 2012 物理学报 61 100508]

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