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Chin. Phys. B, 2016, Vol. 25(12): 128901    DOI: 10.1088/1674-1056/25/12/128901

Bottleneck effects on the bidirectional crowd dynamics

Xiao-Xia Yang(杨晓霞)1, Hai-Rong Dong(董海荣)1, Xiu-Ming Yao(姚秀明)2, Xu-Bin Sun(孙绪彬)2
1. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China;
2. School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing 100044, China

The bottleneck effect on bidirectional crowd dynamics is of great theoretical and practical significance, especially for the designing of corridors in public places, such as subway stations or airports. Based on the famous social force model, this paper investigates the bottleneck effects on the free flow dynamics and breakdown phenomenon under different scenarios, in which different corridor shapes and inflow ratios are considered simultaneously. Numerical simulation finds an interesting self-organization phenomenon in the bidirectional flow, a typical characteristic of such a phenomenon is called lane formation, and the existence of which is independent of the corridor's shape and inflow rate. However, the pattern of the lane formed by pedestrian flow is related to the corridor's shape, and the free flow efficiency has close relationship with the inflow rate. Specifically, breakdown phenomenon occurs when inflows from both sides of the corridor are large enough, which mostly originates from the bottleneck and then gradually spreads to the other regions. Simulation results further indicate that the leaving efficiency becomes low as breakdown occurs, and the degree of congestion is proportional to the magnitude of inflow. The findings presented in this paper match well with some of our daily observations, hence it is possible to use them to provide us with theoretical suggestions in design of infrastructures.

Keywords:  bidirectional pedestrian flow      social force model      pedestrian behavior      bottleneck     
Received:  04 May 2016      Published:  05 December 2016
PACS:  89.40.-a (Transportation)  
  05.65.+b (Self-organized systems)  
  89.75.-k (Complex systems)  

Project supported jointly by the National Natural Science Foundation of China (Grant Nos. 61322307 and 2016YJS023).

Corresponding Authors:  Hai-Rong Dong     E-mail:

Cite this article: 

Xiao-Xia Yang(杨晓霞), Hai-Rong Dong(董海荣), Xiu-Ming Yao(姚秀明), Xu-Bin Sun(孙绪彬) Bottleneck effects on the bidirectional crowd dynamics 2016 Chin. Phys. B 25 128901

[1] Yang X X, Daamen W, Hoogendoorn S P, Chen Y and Dong H R 2014 Transportation Research Procedia 2 456
[2] Campanella M C, Hoogendoorn S P and Daamen W 2009 Transportation Research Record:Journal of the Transportation Research Board 2124 148
[3] Helbing D, Buzna L, Johansson A and Werner T 2005 Transportation Science 39 1
[4] Zhang J and Seyfried A 2014 Physica A:Statistical Mechanics and its Applications 405 316
[5] Hoogendoorn S P and Daamen W 2005 Transportation Science 39 147
[6] Duives D C, Daamen W and Hoogendoorn S P 2013 Transportation Research Part C:Emerging Technologies 37 193
[7] Wang Q L, Chen Y, Dong H R, Zhou M and Ning B 2015 Chin. Phys. B 24 038901
[8] Henderson L F 1971 Nature 229 381
[9] Henderson L F 1974 Nature 8 509
[10] Helbing D 1992 Complex Systems 6 391
[11] Hughes R L 2002 Transportation Research Part B:Methodological 36 507
[12] Li D W and Han B M 2015 Safety Science 80 41
[13] Helbing D and Molnar P 1995 Phys. Rev. E 51 4282
[14] Tan L, Hu M Y and Lin H 2015 Inform. Sci. 295 53
[15] Wang H N, Chen D, Pan W, Xue Y and He H D 2014 Chin. Phys. B 23 080505
[16] Alizadeh R 2011 Safety Science 49 315
[17] Johansson F, Peterson A and Tapani A 2015 Physica A:Statistical Mechanics and its Applications 419 95
[18] Helbing D, Farkas I and Vicsek T 2000 Nature 407 487
[19] Reynolds C W 1987 Comput. Graph. 21 25
[20] Dai J C, Li X and Liu L 2013 Physica A:Statistical Mechanics and its Applications 392 2202
[21] Lo S M, Huang H C, Wang P and Yuen K K 2006 Fire Safety Journal 41 364
[22] Nash J 1951 Ann. Math. 286
[23] Kretz T, Grunebohm A and Schreckenberg M 2006 J. Stat. Mech.:Theor. Exp. 2006 507
[24] Daamen W and Hoogendoorn S P 2003 Transportation Research Record: 1828 20
[25] Seyfried A, Rupprecht T, Passon O, Steffen B, Klingsch W and Boltes M 2009 Transportation Science 43 395
[26] Zhang J, Klingsch W, Schadschneider A and Seyfried A 2012 J. Stat. Mech.:Theor. Exp. 2012 02002
[27] Jiang Y Q and Zhang P 2011 Appl. Mech. Mater. 97-98 1168
[28] Kuang H, Chen T, Li X L and Lo S M 2014 Nonlinear Dynamics 78 1709
[29] Pelechano N, Allbeck J M and Badler N I 2007 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer Animation, August 3-4, 2007, San Diego, USA, p. 99
[30] Parisi D R, Gilman M and Moldovan H 2009 Physica A:Statistical Mechanics and its Applications 388 3600
[31] Yuan W and Tan K H 2009 Curr. Appl. Phys. 9 1014
[32] Yang X X, Dong H R, Yao X M, et al. 2016 Physica A:Statistical Mechanics and its Applications 442 397
[33] Yang X X, Daamen W, Hoogendoorn S P, Dong H R and Yao X M 2016 Chin. Phys. B 25 028901
[34] Tian H H, Wei Y F, Yu X, et al. 2009 Physica A:Statistical Mechanics and its Applications 388 2895
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