A Queuing Model Based on Social Attitudes

Modern pedestrian simulation models have to deal with queuing to obtain realistic results. Queues control the number of pedestrians entering or leaving an area and, through this, the number of pedestrians inside that area. Furthermore, they impede passing pedestrians. But how do humans decide on a queuing strategy? And how does this effect the form of the emerging queue? Based on dynamic floor fields for navigation and a simple heuristic decision mechanism we present a computer model that is able to capture different queuing patterns that we observe in every day life. For this, we assume that there are two basic attitudes, aggressive competition and cooperative getting in line. Pedestrians can switch between these strategies.

[1]  Dirk Pflüger,et al.  Modellbildung und Simulation - Eine anwendungsorientierte Einführung, 2. Auflage , 2013, eXamen.press.

[2]  Gerta Köster,et al.  Natural discretization of pedestrian movement in continuous space. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Armin Seyfried,et al.  Analysis of bottleneck motion using Voronoi diagrams , 2010, 1003.5465.

[4]  Mohcine Chraibi,et al.  Generalized centrifugal-force model for pedestrian dynamics. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  M. Chraibi,et al.  Assessment of models for pedestrian dynamics with functional principal component analysis , 2015, 1502.00528.

[6]  Moshe Zukerman,et al.  Introduction to Queueing Theory and Stochastic Teletraffic Models , 2013, ArXiv.

[7]  Isabella von Sivers,et al.  How Stride Adaptation in Pedestrian Models Improves Navigation , 2014, ArXiv.

[8]  Carl M. Harris,et al.  Fundamentals of Queueing Theory: Gross/Fundamentals of Queueing Theory , 2008 .

[9]  Peter Vortisch,et al.  Quickest Paths in Simulations of Pedestrians , 2011, Adv. Complex Syst..

[10]  Ekaterina Kirik,et al.  An intelligent floor field cellular automation model for pedestrian dynamics , 2007, SCSC.

[11]  Serge P. Hoogendoorn,et al.  Pedestrian Behavior at Bottlenecks , 2005, Transp. Sci..

[12]  Benedikt Zönnchen,et al.  Queuing at Bottlenecks Using a Dynamic Floor Field for Navigation , 2014 .

[13]  L. Mann Queue Culture: The Waiting Line as a Social System , 1969, American Journal of Sociology.

[14]  Alexander Pfaffinger,et al.  Dynamic Medium Scale Navigation Using Dynamic Floor Fields , 2014 .

[15]  Andreas Schadschneider,et al.  Extended Floor Field CA Model for Evacuation Dynamics , 2004, IEICE Trans. Inf. Syst..

[16]  Felix Dietrich,et al.  Gradient navigation model for pedestrian dynamics. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  James A. Sethian,et al.  Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid , 2012 .

[18]  Carl M. Harris,et al.  Fundamentals of queueing theory , 1975 .

[19]  Andreas Schadschneider,et al.  ournal of Statistical Mechanics: J Theory and Experiment Density profiles of the exclusive queuing process , 2022 .

[20]  Gerd Gigerenzer,et al.  Why Heuristics Work , 2008, Perspectives on psychological science : a journal of the Association for Psychological Science.