Jamming transitions induced by a slow vehicle in traffic flow on a multi-lane highway

Abstract

We study the jamming transitions induced by a slow vehicle in multi-lane traffic flow. We extend the conventional optimal velocity model to the multi-lane traffic by taking into account the lane changing. It is found that there are three transition points, four transition points and five transition points, respectively, two-lane traffic flow, three-lane traffic flow and four-lane traffic flow. We show the current-density diagram numerically and theoretically.

The Burgers Equation for a New Continuum Model with Consideration of Driver’s Forecast Effect

“…Traffic jams, the typical signature of the complex behavior of vehicular traffic, have been studied by various traffic models [1][2][3][4][5][6][7][8]. From different theoretical basis, there are microscopic and macroscopic models to describe traffic flow.…”