A pedestrian dynamics model based on heuristics considering contact force information and static friction

ABSTRACT Simulating pedestrian flow through individual models is a powerful method to uncover mechanisms underlying collective behaviors. The heuristic force-based model is a promising approach, but it has problems both in theory and in application. Therefore, we propose a modified heuristic force-based model that considers contact force information and static friction in this paper. We propose a heuristic to take contact forces simultaneously as the information that affects self-driven forces, which has not been studied before. We express self-driven forces through static friction, because motion of pedestrians is actually dependent on the static friction between pedestrians and ground, which has not been considered before. Our model successfully addresses a well-known problem related to force-based models, namely the unrealistic backward motion of the last people repulsed by the preceding one. Besides, our model reproduces the bypass movement in a narrow space well, while the previous model will cause an unrealistic rebound phenomenon.

[1]  Serge P. Hoogendoorn,et al.  State-of-the-art crowd motion simulation models , 2013 .

[2]  Dirk Helbing,et al.  How simple rules determine pedestrian behavior and crowd disasters , 2011, Proceedings of the National Academy of Sciences.

[3]  Dr A. Alavi,et al.  Statistical Mechanics and its applications , 2007 .

[4]  Dirk Helbing,et al.  From Crowd Dynamics to Crowd Safety: a Video-Based Analysis , 2008, Adv. Complex Syst..

[5]  Shoufeng Ma,et al.  Empirical and simulation study of traffic delay at un-signalized crosswalks due to conflicts between pedestrians and vehicles , 2019 .

[6]  Sébastien Paris,et al.  Pedestrian Reactive Navigation for Crowd Simulation: a Predictive Approach , 2007, Comput. Graph. Forum.

[7]  Roger L. Hughes,et al.  A continuum theory for the flow of pedestrians , 2002 .

[8]  Dirk Helbing,et al.  Dynamics of crowd disasters: an empirical study. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[10]  Ziyou Gao,et al.  An effective algorithm to simulate pedestrian flow using the heuristic force-based model , 2015 .

[11]  Samer H. Hamdar,et al.  Pedestrian Dynamics at Transit Stations: An Integrated Pedestrian Flow Modelling Approach , 2018 .

[12]  Jun Zhang,et al.  Transitions in pedestrian fundamental diagrams of straight corridors and T-junctions , 2011, 1102.4766.

[13]  B. Wright The modeling approach. , 1984, International review of cytology.

[14]  Andreas Schadschneider,et al.  Empirical Results for Pedestrian Dynamics and their Implications for Cellular Automata Models , 2009 .

[15]  G. Wets,et al.  Investigating pedestrian walkability using a multitude of Seoul data sources , 2018 .

[16]  Andreas Schadschneider,et al.  Empirical results for pedestrian dynamics and their implications for modeling , 2011, Networks Heterog. Media.

[17]  Yao Xiao,et al.  A pedestrian flow model considering the impact of local density: Voronoi diagram based heuristics approach , 2016 .

[19]  Helbing,et al.  Social force model for pedestrian dynamics. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[20]  C. Dorso,et al.  Morphological and dynamical aspects of the room evacuation process , 2007 .

[21]  Mao-Bin Hu,et al.  Impact of variable body size on pedestrian dynamics by heuristics-based model , 2017 .

[22]  Rui Jiang,et al.  Pedestrian counter flow in discrete space and time: experiment and its implication for CA modelling , 2019 .

[23]  Roger L. Hughes,et al.  The flow of large crowds of pedestrians , 2000 .

[24]  Xiaoping Zheng,et al.  Modeling crowd evacuation of a building based on seven methodological approaches , 2009 .

[25]  Aamir Shabbir,et al.  Experiments and Modeling , 1991 .

[26]  Claudio O. Dorso,et al.  Room evacuation in the presence of an obstacle , 2011 .

[27]  Lubos Buzna,et al.  Self-Organized Pedestrian Crowd Dynamics: Experiments, Simulations, and Design Solutions , 2005, Transp. Sci..

[28]  Hendrik Vermuyten,et al.  A review of optimisation models for pedestrian evacuation and design problems , 2016 .

[29]  Dirk Helbing,et al.  Simulating dynamical features of escape panic , 2000, Nature.

[30]  Rui Jiang,et al.  Impact of holding umbrella on uni- and bi-directional pedestrian flow: experiments and modeling , 2015, Transportmetrica B: Transport Dynamics.

[31]  A. Schadschneider,et al.  Simulation of pedestrian dynamics using a two dimensional cellular automaton , 2001 .