A deformed cellular automaton model 1

In existing Cellular Automaton (CA) model, the cellular width is not related to vehicular velocity. However, in real condition, at road’s toll station or intersection, the introduced fixed infrastructure or pedestrians moving into vehicle lane will result in the lane narrowing, so limit the passing speed of vehicle. According to this condition, this paper presents a deformed CA model, and makes a primary study on relationship between cellular deformed volume and actual cellular width, vehicle speed and width. Through simulating, we compare the traveling states of vehicle on single lane under three cases respectively without deformation, with and with unfixed deformation. The simulation shows that the limited speed resulted from cellular deformation has obvious impact on the fluency and smoothness of traffic flow, and there is a boundary between congested and free phases at position of deformed cell, however, with the increase of traffic flow density, the deformed cell appears to have less influence on vehicle advance.