New Approach for Pedestrian Dynamics by Real-Coded Cellular Automata (RCA)

Since Cellular Automata (CA) have been proposed by von Neumann in the late 1940s, CA have been applied in a variety of scientific researches on complex system, including traffic models and biological fields It is an idealization of a physical system in which space and time are all discrete As one of the examples achieving most remarkable progress is the CA model for pedestrian dynamics Since the pedestrian flows are caused by collective crowd behavior, it is difficult to handle directly each pedestrian by solving coupled differential equations, although the social force model has been proposed [1] CA approach could be more appropriate to describe pedestrian dynamics, because pedestrian flows are naturally emerged in a collective behavior in a CA model The floor field CA model has been developed for pedestrian dynamics [2,3], where two kinds of floor fields, a static and a dynamic one, are introduced to translate a long-ranged spatial interaction into an attractive local interaction So far, only the social force model and floor field model are the approach to show lane formation, oscillations of the direction at bottlenecks and the so-called faster-is-slower effect, which are basics for pedestrian modeling.