Characteristics of Stop and Go Wave in One Dimensional Interrupted Pedestrian Flow Through Narrow Channel

H. Gayathri; Siddhartha Gulhare; Ashish Verma

doi:10.17815/CD.2018.18

Authors

H. Gayathri Department of Civil Engineering, Indian Institute of Science, Bangalore, India
Siddhartha Gulhare Department of Civil Engineering, Indian Institute of Science, Bangalore, India
Ashish Verma Department of Civil Engineering and Robert Bosch Centre for Cyber Physical Systems, Indian Institute of Science, Bangalore, India

DOI:

https://doi.org/10.17815/CD.2018.18

Keywords:

religious mass gathering, stop and go waves, pedestrian dynamics, India

Abstract

Pedestrian microscopic simulation models can aid crowd management only if they can reproduce the crowd behavior correctly. To calibrate and validate the model, it is important to understand crowd movement during various activities involved in mass gathering events. A common practice in such gathering is to hold attendees in waiting area in near corridors separated by crowd barriers before the event and allow entering the event only after a designated time. The crowd is released in small batches to avoid overcrowding inside. Long waiting hours, anger, excitement, competitive feeling etc. can make crowd aggressive during such entries. Crowd flow characteristics due to such behavior is difficult to recreate in pedestrian experimental studies in laboratory setting. This paper studied interrupted flow of such crowd through a narrow corridors made of strong railing channel inside a temple. Interrupted flow lead to formation of one dimensional stop and go waves. These stop and go waves were studied from the trajectory data. The average speed of waves propagating over longer distance were also estimated. The quantitative output from this study can be used to calibrate and validate simulation models of such activity during mass gathering events.

References

Helbing, D., Molnár, P.: Social force model for pedestrian dynamics. Phys. Rev. E 51, 4282-4286 (1995). doi:10.1103/PhysRevE.51.4282

Okazaki, S., Matsushita, S.: A study of simulation model for pedestrian movement with evacuation and queuing. In: Smith, R.A., Dickie, J.F. (eds.) International Conference on Engineering for Crowd Safety, pp. 271-280 (1993)

Chraibi, M., Seyfried, A., Schadschneider, A.: Generalized centrifugal-force model for pedestrian dynamics. Physical review. E, Statistical, nonlinear, and soft matter physics 82 4 Pt 2, 046111 (2010)

Blue, V., Adler, J.: Cellular automata microsimulation of bidirectional pedestrian flows. Transportation Research Record: Journal of the Transportation Research Board 1678, 135-141 (1999). doi:10.3141/1678-17

Bellomo, N., Gibelli, L.: Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds 25(13), 2417-2437 (2015). doi:10.1142/s0218202515400138. Exported from https://app.dimensions.ai on 2019/01/25

Johansson, F.: Microscopic modeling and simulation of pedestrian traffic (2013). (Unpublished Master's thesis), Linkoping University, Sweden

Seyfried, A., Steffen, B., Klingsch, W., Boltes, M.: The fundamental diagram of pedestrian movement revisited. Journal of Statistical Mechanics: Theory and Experiment 2005(10), P10002 (2005)

Chattaraj, U., Seyfried, A., Chakroborty, P.: Comparison of pedestrian fundamental diagram across cultures. Advances in Complex Systems 12(03), 393-405 (2009). doi:10.1142/S0219525909002209

Cao, S., Zhang, J., Salden, D., Ma, J., Shi, C., Zhang, R.: Pedestrian dynamics in single-file movement of crowd with different age compositions. Phys. Rev. E 94, 012312 (2016). doi:10.1103/PhysRevE.94.012312

Jelić, A., Appert-Rolland, C., Lemercier, S., Pettré, J.: Properties of pedestrians walking in line: Fundamental diagrams. Phys. Rev. E 85, 036111 (2012). doi:10.1103/PhysRevE.85.036111

Muir, H.C., Bottomley, D.M., Marrison, C.: Effects of motivation and cabin configuration on emergency aircraft evacuation behavior and rates of egress. The International Journal of Aviation Psychology 6(1), 57-77 (1996). doi:10.1207/s15327108ijap0601_4

Nagai, R., Fukamachi, M., Nagatani, T.: Evacuation of crawlers and walkers from corridor through an exit. Physica A: Statistical Mechanics and its Applications 367(C), 449-460 (2006)

Daamen, W., Hoogendoorn, S.: Capacity of doors during evacuation conditions. Procedia Engineering 3, 53-66 (2010). doi:10.1016/j.proeng.2010.07.007. First International Conference on Evacuation Modeling and Management

Hoogendoorn, S.P., Daamen, W.: Pedestrian behavior at bottlenecks. Transportation Science 39(2), 147-159 (2005). doi:10.1287/trsc.1040.0102

Duives, D., Daamen, W., Hoogendoorn, S.: Anticipation behavior upstream of a bottleneck. Transportation Research Procedia 2, 43-50 (2014). doi:10.1016/j.trpro.2014.09.007. The Conference on Pedestrian and Evacuation Dynamics 2014 (PED 2014), 22-24 October 2014, Delft, The Netherlands

Kretz, T., Grünebohm, A., Schreckenberg, M.: Experimental study of pedestrian flow through a bottleneck. Journal of Statistical Mechanics: Theory and Experiment 2006(10), P10014 (2006)

Portz, A., Seyfried, A.: Analyzing stop-and-go waves by experiment and modeling. In: Peacock, R.D., Kuligowski, E.D., Averill, J.D. (eds.) Pedestrian and Evacuation Dynamics, pp. 577-586. Springer US, Boston, MA (2011)

Ziemer, V., Seyfried, A., Schadschneider, A.: Congestion dynamics in pedestrian single-file motion. Springer pp. 89-96 (2016). Conference on Traffic and Granular Flow 2015

Tordeux, A., Schadschneider, A.: White and relaxed noises in optimal velocity models for pedestrian flow with stop-and-go waves. Journal of Physics A: Mathematical and Theoretical 49(18), 185101 (2016). doi:10.1088/1751-8113/49/18/185101

Seyfried, A., Portz, A., Schadschneider, A.: Phase coexistence in congested states of pedestrian dynamics. In: Bandini, S., Manzoni, S., Umeo, H., Vizzari, G. (eds.) Cellular Automata, pp. 496-505. Springer Berlin Heidelberg, Berlin, Heidelberg (2010)

Kuang, H., Fan, Y., Li, X., Kong, L.: Asymmetric effect and stop-and-go waves on single-file pedestrian dynamics. Procedia Engineering 31, 1060-1065 (2012). doi:10.1016/j.proeng.2012.01.1142

Tomoeda, A., Yanagisawa, D., Imamura, T., Nishinari, K.: Propagation speed of a starting wave in a queue of pedestrians. Physical review. E, Statistical, nonlinear, and soft matter physics 86, 036113 (2012). doi:10.1103/PhysRevE.86.036113

Koshi, M., Iwasaki, M., Ohkura, I.: Some findings and an overview on vehicular flow characteristics. In: Proceedings of the 8th International Symposium on Transportation, pp. 403-426 (1983)

Gulhare, S., Verma, A., Chakroborty, P.: Comparison of pedestrian data of single file movement collected from controlled pedestrian experiment and from field in mass religious gathering. Collective Dynamics 3, 1-14 (2018). doi:10.17815/CD.2018.16

Virkler, M.R., Elayadath, S.: Pedestrian density characteristics and shockwaves pp. 671-683 (1994). Proceedings of the Second International Symposium on Highway Capacity. Vol. 2. Sydney, N.S.W

Munigety, C.R., Vicraman, V., Mathew, T.V.: Semiautomated tool for extraction of microlevel traffic data from videographic survey. Transportation Research Record 2443(1), 88-95 (2014). doi:10.3141/2443-10