Modeling Routing Choices in Unidirectional Pedestrian Flows
DOI:
https://doi.org/10.17815/CD.2021.135Keywords:
pedestrian routing, herding effect, fluctuations, pedestrian trackingAbstract
In this work we present a simple routing model capable of capturing pedestrians path choices in the presence of a herding effect. The model is tested and validated against data from a large scale tracking campaign which we have conducted during the GLOW 2019 festival. The choice between alternative paths is modeled as an individual cost minimization procedure, with the cost function being associated to the (estimated) traveling time. In order to trigger herding effects the cost function is supplemented with a penalty term, modulated as a function of the fraction of pedestrians walking along each route. The model is shown to provide an accurate quantitative description of the decision process.References
Leyden, K.M.: Social capital and the built environment: the importance of walkable neighborhoods. American journal of public health 93(9), 1546-1551 (2003). doi:10.2105/ajph.93.9.1546
Blanco, H., Alberti, M., Forsyth, A., Krizek, K.J., Rodriguez, D.A., Talen, E., Ellis, C.: Hot, congested, crowded and diverse: Emerging research agendas in planning. Progress in Planning 71(4), 153-205 (2009). doi:10.1016/j.progress.2009.03.001
Hughes, R.L.: A continuum theory for the flow of pedestrians. Transportation Research Part B: Methodological 36(6), 507-535 (2002). doi:10.1016/S0191-2615(01)00015-7
Hughes, R.L.: The flow of human crowds. Annual Review of Fluid Mechanics 35(1), 169-182 (2003). doi:10.1146/annurev.fluid.35.101101.161136
Hoogendoorn, S.P., Bovy, P.H.: Dynamic user-optimal assignment in continuous time and space. Transportation Research Part B: Methodological 38(7), 571-592 (2004). doi:10.1016/j.trb.2002.12.001
Campanella, M., Hoogendoorn, S.P., Daamen, W.: Effects of heterogeneity on self-organized pedestrian flows. Transportation research record 2124(1), 148-156 (2009). doi:10.3141/2124-14
Hoogendoorn, S.P., Bovy, P.H.L.: Pedestrian route-choice and activity scheduling theory and models. Transportation Research Part B 38, 169-190 (2004). doi:10.1016/S0191-2615(03)00007-9
Duives, D.C., Daamen, W., Hoogendoorn, S.P.: State-of-the-art crowd motion simulation models. Transportation research part C: emerging technologies 37, 193-209 (2013). doi:10.1016/j.trc.2013.02.005
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). doi:10.1088/1742-5468/2005/10/P10002
Kretz, T., Grünebohm, A., Kaufman, M., Mazur, F., Schreckenberg, M.: Experimental study of pedestrian counterflow in a corridor. Journal of Statistical Mechanics: Theory and Experiment 2006(10), P10001-P10001 (2006). doi:10.1088/1742-5468/2006/10/p10001
Kretz, T., Grünebohm, A., Schreckenberg, M.: Experimental study of pedestrian flow through a bottleneck. Journal of Statistical Mechanics: Theory and Experiment 2006(10), P10014-P10014 (2006). doi:10.1088/1742-5468/2006/10/p10014
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. Pedestrian and Evacuation Dynamics 2008 pp. 145-156 (2010). doi:10.1007/978-3-642-04504-2_11
Moussaïd, M., Helbing, D., Theraulaz, G.: How simple rules determine pedestrian behavior and crowd disasters. Proceedings of the National Academy of Sciences 108(17), 6884-6888 (2011). doi:10.1073/pnas.1016507108
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). doi:10.1088/1742-5468/2012/02/p02002
Moussaïd, M., Guillot, E.G., Moreau, M., Fehrenbach, J., Chabiron, O., Lemercier, S., Pettré, J., Appert-Rolland, C., Degond, P., Theraulaz, G.: Traffic instabilities in self-organized pedestrian crowds. PLOS Computational Biology 8(3), 1-10 (2012). doi:10.1371/journal.pcbi.1002442
Guo, R.Y., Huang, H.J., Wong, S.: Route choice in pedestrian evacuation under conditions of good and zero visibility: Experimental and simulation results. Transportation research part B: methodological 46(6), 669-686 (2012). doi:10.1016/j.trb.2012.01.002
Brščić, D., Kanda, T., Ikeda, T., Miyashita, T.: Person tracking in large public spaces using 3-d range sensors. IEEE Trans. Human-Mach. Syst. 43(6), 522-534 (2013). doi:10.1109/THMS.2013.2283945
Seer, S., Brändle, N., Ratti, C.: Kinects and human kinetics: A new approach for studying pedestrian behavior. Transport. Res. C-Emer. 48, 212-228 (2014). doi:10.1016/j.trc.2014.08.012
Corbetta, A., Bruno, L., Muntean, A., Toschi, F.: High statistics measurements of pedestrian dynamics. Transportation Research Procedia 2, 96-104 (2014). doi:10.1016/j.trpro.2014.09.013
Willems, J., Corbetta, A., Menkovski, V., Toschi, F.: Pedestrian orientation dynamics from high-fidelity measurements. Scientific reports 10(1), 1-10 (2020). doi:10.1038/s41598-020-68287-6
Kroneman, W., Corbetta, A., Toschi, F.: Accurate pedestrian localization in overhead depth images via height-augmented hog. Collective Dynamics 5, 33-40 (2020). doi:10.17815/CD.2020.30
Corbetta, A., Meeusen, J.A., Lee, C.m., Benzi, R., Toschi, F.: Physics-based modeling and data representation of pairwise interactions among pedestrians. Phys. Rev. E 98, 062310 (2018). doi:10.1103/PhysRevE.98.062310
Corbetta, A., Kroneman, W., Donners, M., Haans, A., Ross, P., Trouwborst, M., de Wijdeven, S.V., Hultermans, M., Sekulovski, D., van der Heijden, F., Mentink, S., Toschi, F.: A large-scale real-life crowd steering experiment via arrow-like stimuli. Collective Dynamics 5, 61-68 (2020). doi:10.17815/CD.2020.34
Bovy, P.H., Stern, E.: Route Choice: Wayfinding in Transport Networks: Wayfinding in Transport Networks, vol. 9 (1990)
Liao, W., Kemloh Wagoum, A.U., Bode, N.W.: Route choice in pedestrians: determinants for initial choices and revising decisions. Journal of the Royal Society Interface 14(127), 20160684 (2017). doi:10.1098/rsif.2016.0684
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Copyright (c) 2021 Alessandro Gabbana, Alessandro Corbetta, Federico Toschi
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