Modeling and simulation of weaving pedestrian flow in subway stations

Chen Ran; Li Xiang; Dong Li-Yun

doi:10.7498/aps.61.144502

Abstract

There are differences in efficiency when pedestrian flows with various directions pass through the bottleneck of a subway in different manners, and the mechanisms of congestion at the bottleneck are distinct as well. The weaving motion of pedestrian flows with various directions in subways is simplified into two crowds with different ODs passing through the bottleneck which connects two parallel channels. The lattice gas model is improved by introducing the floor field so that it is suitable for the description of pedestrian flow under complex situations. It is shown by experiments that different ways lead to the difference in total time when the crowds pass through the field of interest. Then the total time of crowds passing through the field in different ways is investigated numerically, and the effect of bottleneck width is taken into account as well. Numerical simulations confirm the findings from experiments. It is found that the diagonal movement of a pedestrian should be included in the model in order to give a better description of real pedestrian traffic. And the mechanism of congestion near the bottleneck is discussed in detail.

Keywords:

Authors and contacts

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 10972135, 11172164, 11047003), Innovation Program of Shanghai Municipal Education Commission, China (Grant No. 11YZ12), the Shanghai Program for Innovative Research Team in Universities, China, and the Program for Changjiang Scholars and Innovative Research Team in Universities, China (Grant No. IRT0844).

References

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[2]	Muramatsu M, Irie T, Nagatani T 1999 Physica A 267 487
[3]	Burstedde C, Klauck K, Schadschneider A, Zittartz J 2001 Physica A 295 507
[4]	Takimoto K, Tajima Y, Nagatani T 2002 Physica A 308 460
[5]	Yu Y F, Song W G 2007 Phys. Rev. E 75 046112
[6]	Fukamachi M, Nagatani T 2007 Physica A 377 269
[7]	Li J, Yang L H, Zhao D L 2005 Physica A 354 619
[8]	Yang L Z, Li J, Liu S B 2008 Physica A 387 3281
[9]	Kuang H, Li X L, Song T, Dai S Q 2008 Phys. Rev. E 78 066117
[10]	Kuang H, Li X L, Wei Y F, Song T, Dai S Q 2010 Chin. Phys. B 19 070517
[11]	Yang L X, Zhao X M, Gao Z Y, Zheng J F 2011 Acta Phys. Sin. 60 100501 (in Chinese) [杨凌霄, 赵小梅, 高自友, 郑建风 2011 60 100501]
[12]	Song W G, Xu X, Wang B H, Ni S J 2006 Physica A 363 492
[13]	Ma J, Song W G, Liao G X 2010 Chin. Phys. B 19 128901
[14]	Weng W G, Chen T, Yuan H Y, Fan W C 2006 Phys. Rev. E 74 036102
[15]	Zhou J W, Chen X L, Zhou J H, Tan H L, Kong L J, Liu M R 2009 Acta Phys. Sin. 58 2281 (in Chinese) [周金旺, 陈秀丽, 周建槐, 谭惠利, 孔令江, 刘慕仁 2009 58 2281]
[16]	Helbing D, Molnar P 1995 Phys. Rev. E 51 4282
[17]	Song W G, Yu Y F, Fan W C, Zhang H P 2005 Sci. China Ser. E 35 725 (in Chinese) [宋卫国, 于彦飞, 范维澄, 张和平 2005 中国科学E辑 35 725]
[18]	Hao Q Y, Hu M B, Cheng X Q, Song W G, Jiang R, Wu Q S 2010 Phys. Rev. E 82 026113
[19]	Huang H J, Guo R Y 2008 Phys. Rev. E 78 021131
[20]	Kirchner A, Schadschneider A 2002 Physica A 312 260
[21]	Helbing D, Buzna L, Johansson A, Werner T 2005 Transport. Sci. 39 1

Cited By

[1]	Helbing D 2001 Rev. Mod. Phys. 73 1067
[2]	Muramatsu M, Irie T, Nagatani T 1999 Physica A 267 487
[3]	Burstedde C, Klauck K, Schadschneider A, Zittartz J 2001 Physica A 295 507
[4]	Takimoto K, Tajima Y, Nagatani T 2002 Physica A 308 460
[5]	Yu Y F, Song W G 2007 Phys. Rev. E 75 046112
[6]	Fukamachi M, Nagatani T 2007 Physica A 377 269
[7]	Li J, Yang L H, Zhao D L 2005 Physica A 354 619
[8]	Yang L Z, Li J, Liu S B 2008 Physica A 387 3281
[9]	Kuang H, Li X L, Song T, Dai S Q 2008 Phys. Rev. E 78 066117
[10]	Kuang H, Li X L, Wei Y F, Song T, Dai S Q 2010 Chin. Phys. B 19 070517
[11]	Yang L X, Zhao X M, Gao Z Y, Zheng J F 2011 Acta Phys. Sin. 60 100501 (in Chinese) [杨凌霄, 赵小梅, 高自友, 郑建风 2011 60 100501]
[12]	Song W G, Xu X, Wang B H, Ni S J 2006 Physica A 363 492
[13]	Ma J, Song W G, Liao G X 2010 Chin. Phys. B 19 128901
[14]	Weng W G, Chen T, Yuan H Y, Fan W C 2006 Phys. Rev. E 74 036102
[15]	Zhou J W, Chen X L, Zhou J H, Tan H L, Kong L J, Liu M R 2009 Acta Phys. Sin. 58 2281 (in Chinese) [周金旺, 陈秀丽, 周建槐, 谭惠利, 孔令江, 刘慕仁 2009 58 2281]
[16]	Helbing D, Molnar P 1995 Phys. Rev. E 51 4282
[17]	Song W G, Yu Y F, Fan W C, Zhang H P 2005 Sci. China Ser. E 35 725 (in Chinese) [宋卫国, 于彦飞, 范维澄, 张和平 2005 中国科学E辑 35 725]
[18]	Hao Q Y, Hu M B, Cheng X Q, Song W G, Jiang R, Wu Q S 2010 Phys. Rev. E 82 026113
[19]	Huang H J, Guo R Y 2008 Phys. Rev. E 78 021131
[20]	Kirchner A, Schadschneider A 2002 Physica A 312 260
[21]	Helbing D, Buzna L, Johansson A, Werner T 2005 Transport. Sci. 39 1

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