Dynamical model of a pedestrian in a crowd

Abstract

T h e purpose of this study is to propose a mathematical model which describes the walking behavior of a person and analyzes the characteristics of h u m a n behavior in the crowd. T h e fundamental assumption is that the human behavior is not a random process but a deterministic process with several basic mechanisms and each fundamental mechanism is c o m m o n and only the parameter is d i f e r e n t f r o m person to person. T h e proposed model is based o n the servomechanism which drives a person along the planned path from point to point. This model has been applied to simulate the walks of people in a crowd and the simulated results have a good coincidence with actual measurement. After all, this model has been applied to simulate individual movement of people entering abruptly narrow space and it is shown that the so-called grouping phen o m e n o n can be reproduced by this model.

Position-Based Formation Control Scheme for Crowds Using Short Range Distance (SRD)

“…Historically, crowd simulation has been focused on various aspects of collective behavior [10]. A typical technique of these is to use rules based on physical laws [11].…”

Groups and crowd simulation

“…Employed techniques range from those that do not distinguish individuals such as flow and network models in some of the evacuation simulations (Takahashi and Shiizuka 1992), to those that represent each individual as being controlled by more or less complex rules based on physical laws (Helbing et al 2000), (Hosoi et al 1996), chaos equations (Saiwaki et al 1999 or behavioral models in training systems (Williams 1995) or sociological simulations (Jager et al 2001).…”