Totally asymmetric simple exclusion processes apply in traffic system

Abstract

Along with the development of society, traffic jams are becoming the major issue in cities traffic system, since they are not only consuming much more fuel but also polluting air of cities. In this paper, we take into account the models which totally asymmetric simple exclusion processes (TASEPs) with single-lane with a double-lane section in the middle in the case of parallel-sequential update. Using mean-field theory to calculate currents, density profiles and a phase diagram of stationary vehicles and analyses the conclusions.