Abstract
In this paper we investigate effects of boundary conditions on one dimensional pedestrian flow which involves purely longitudinal interactions. Qualitatively, stop-and-go waves are observed under closed boundary condition and dissolve when the boundary is open. To get more detailed information the fundamental diagrams of the open and closed systems are compared using Voronoi-based measurement method. Higher maximal specific flow is observed from the pedestrian movement at open boundary condition.
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Schadschneider, A., Klüpfel, H., Kretz, T., Rogsch, C., Seyfried, A.: Fundamentals of pedestrian and evacuation dynamics. In: Bazzan, A., Klügl, F. (eds.) Multi-Agent Systems for Traffic and Transportation Engineering, ch. 6, pp. 124–154. IGI Global, Hershey (2009)
Schadschneider, A., Klingsch, W., Kluepfel, H., Kretz, T., Rogsch, C., Seyfried, A.: Evacuation Dynamics: Empirical Results, Modeling and Applications. In: Encyclopedia of Complexity and System Science, vol. 5, pp. 3142–3176. Springer, Heidelberg (2009)
Seyfried, A., Boltes, M., Kähler, J., Klingsch, W., Portz, A., Rupprecht, T., Schadschneider, A., Steffen, B., Winkens, A.: Enhanced empirical data for the fundamental diagram and the flow through bottlenecks. In: Klingsch, W.W.F., Rogsch, C., Schadschneider, A., Schreckenber, M. (eds.) Pedestrian and Evacuation Dynamics 2008, pp. 145–156. Springer, Heidelberg (2010)
Zhang, J., Klingsch, W., Schadschneider, A., Seyfried, A.: Ordering in bidirectional pedestrian flows and its influence on the fundamental diagram. Journal of Statistical Mechanics: Theory and Experiment 2012(02), P02002 (2012)
Seyfried, A., Steffen, B., Klingsch, W., Boltes, M.: The fundamental diagram of pedestrian movement revisited. J. Stat. Mech. P10002 (2005)
Chattaraj, U., Seyfried, A., Chakroborty, P.: Comparison of pedestrian fundamental diagram across cultures. Advances in Complex Systems 12(3), 393–405 (2009)
Liu, X., Song, W., Zhang, J.: Extraction and quantitative analysis of microscopic evacuation characteristics based on digital image processing. Physica A: Statistical Mechanics and its Applications 388(13), 2717–2726 (2009)
Jelic, A., Appert-Rolland, C., Lemercier, S., Pettré, J.: Properties of pedestrians walking in line: Fundamental diagrams. Physical Review E E 85(85), 9 (2012)
Jelic, A., Appert-Rolland, C., Lemercier, S., Pettré, J.: Properties of pedestrians walking in line: Stepping behavior. Physical Review E E 86, 046111 (2012)
Seyfried, A., Portz, A., Schadschneider, A.: Phase coexistence in congested states of pedestrian dynamics. In: Bandini, S., Manzoni, S., Umeo, H., Vizzari, G. (eds.) ACRI 2010. LNCS, vol. 6350, pp. 496–505. Springer, Heidelberg (2010)
Boltes, M., Seyfried, A., Steffen, B., Schadschneider, A.: Automatic extraction of pedestrian trajectories from video recordings. In: Klingsch, W.W.F., Rogsch, C., Schadschneider, A., Schreckenberg, M. (eds.) Pedestrian and Evacuation Dynamics 2008, pp. 43–54. Springer, Heidelberg (2010)
Lighthill, M.H., Whitham, G.B.: On kinematic waves II: A theory of traffic flow on long crowded roads. Proceedings of the Royal Society of London A, Mathematical and Physical Sciences 229(1178), 317–345 (1955)
Richards, P.I.: Shock-waves on the highway. Operations Research 4(1), 42–51 (1956)
Steffen, B., Seyfried, A.: Methods for measuring pedestrian density, flow, speed and direction with minimal scatter. Physica A 389(9), 1902–1910 (2010)
Zhang, J., Klingsch, W., Schadschneider, A., Seyfried, A.: Transitions in pedestrian fundamental diagrams of straight corridors and t-junctions. Journal of Statistical Mechanics: Theory and Experiment P06004 (2011)
Fruin, J.J.: Pedestrian Planning and Design. Elevator World, New York (1971)
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Zhang, J., Tordeux, A., Seyfried, A. (2014). Effects of Boundary Conditions on Single-File Pedestrian Flow. In: Wąs, J., Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2014. Lecture Notes in Computer Science, vol 8751. Springer, Cham. https://doi.org/10.1007/978-3-319-11520-7_48
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DOI: https://doi.org/10.1007/978-3-319-11520-7_48
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11519-1
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