Traffic States and Jamming Transitions Induced by a Slow Car in Two-lane Traffic Flow

Abstract

We investigate the traffic states transition and jamming induced by a slow car in two-lane traffic of cars by using a generalized optimal velocity model, which is based on the optimal velocity model. We obtain the relationship between current and density under the circumstance when a slow car was introduced into the original high speed moving highway where cars change lanes frequently. It is found that the entire density space is divided to four distinct area, symbolizing different traffic states. The spatiotemporal diagram of each state is presented. Through the diagram, the evolution and development of traffic flow, jamming as well, is demonstrated.