The escape of pedestrians with view radius

In this brief letter, we modify the classic social force model of Helbing which is applied to simulate how a pedestrian gets outside a hall full of smoke. As the Vicsek model does, the view radius is introduced to describe the range the pedestrian can see. The relation between the evacuation time and the view radius is studied with different numbers of pedestrians. The results show that the shorter the view radius is, the more time walkers will spend escaping, and even fail to escape. And the relation between the number of remaining walkers and the view radius shows non-monotonicity, if the number of pedestrians is larger than 600. And lastly, we propose to enlarge the width of the exit or to add two small exits in the corners, which may decrease the evacuation time greatly and obviously reduce the number of remaining walkers.

[1]  Jia Wan,et al.  Research on evacuation in the subway station in China based on the Combined Social Force Model , 2014 .

[2]  Jose Alvarez-Ramirez,et al.  Convection–diffusion effects in marathon race dynamics , 2014 .

[3]  T. Nagatani,et al.  Scaling behavior of crowd flow outside a hall , 2001 .

[4]  Y. F. Yu,et al.  Cellular automaton simulation of pedestrian counter flow considering the surrounding environment. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  A. Johansson,et al.  Constant-net-time headway as a key mechanism behind pedestrian flow dynamics. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[7]  Bing-Hong Wang,et al.  A social force evacuation model with the leadership effect , 2014 .

[8]  Jianhua Gong,et al.  Simulation and analysis of individual trampling risk during escalator transfers , 2014 .

[9]  Akihiro Nakayama,et al.  Effect of attractive interaction on instability of pedestrian flow in a two-dimensional optimal velocity model. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  Helbing.  Gas-kinetic derivation of Navier-Stokes-like traffic equations. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

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

[12]  Wenjian Yu,et al.  Modeling crowd turbulence by many-particle simulations. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Hai-Jun Huang,et al.  Static floor field and exit choice for pedestrian evacuation in rooms with internal obstacles and multiple exits. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Chi-Wang Shu,et al.  Dynamic continuum pedestrian flow model with memory effect. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Edward Ott,et al.  Modeling walker synchronization on the Millennium Bridge. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Xingli Li,et al.  Analysis of pedestrian dynamics in counter flow via an extended lattice gas model. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  S. Dai,et al.  Centrifugal force model for pedestrian dynamics. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  W. Weng,et al.  Cellular automaton simulation of pedestrian counter flow with different walk velocities. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  T. Nagatani,et al.  Jamming transition in pedestrian counter flow , 1999 .

[20]  Rainald Löhner,et al.  On the modeling of pedestrian motion , 2010 .

[21]  K. Nishinari,et al.  Introduction of frictional and turning function for pedestrian outflow with an obstacle. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  T. Nagatani,et al.  Jamming transition of pedestrian traffic at a crossing with open boundaries , 2000 .

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

[24]  D. Helbing,et al.  The Walking Behaviour of Pedestrian Social Groups and Its Impact on Crowd Dynamics , 2010, PloS one.

[25]  T. Nagatani,et al.  Jamming transition in two-dimensional pedestrian traffic , 2000 .

[26]  D. Helbing.  Traffic and related self-driven many-particle systems , 2000, cond-mat/0012229.

[27]  Dirk Helbing.  Derivation and empirical validation of a refined traffic flow model , 1996 .

[28]  Irene Giardina,et al.  Collective behavior in animal groups: Theoretical models and empirical studies , 2008, HFSP journal.

[29]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[30]  L. F. Henderson,et al.  The Statistics of Crowd Fluids , 1971, Nature.

[31]  Daichi Yanagisawa,et al.  Mean-field theory for pedestrian outflow through an exit. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[32]  Lin Li,et al.  Evacuation dynamic and exit optimization of a supermarket based on particle swarm optimization , 2014 .