A new stochastic cellular automaton model on traffic flow and its jamming phase transition

作者：Sakai Satoshi^*; Nishinari Katsuhiro; Iida Shinji

来源：Journal of Physics A: Mathematical and General , 2006, 39(50): 15327-15339.

DOI：10.1088/0305-4470/39/50/002

A general stochastic traffic cellular automaton ( CA) model, which includes the slow-to-start effect and driver's perspective, is proposed in this paper. It is shown that this model includes well-known traffic CA models such as the Nagel-Schreckenberg model, the quick-start model and the slow-to-start model as specific cases. Fundamental diagrams of this new model clearly show metastable states around the critical density even when the stochastic effect is present. We also obtain analytic expressions of the phase transition curve in phase diagrams by using approximate flow-density relations at boundaries. These phase transition curves are in excellent agreement with numerical results.

• 出版日期2006-12-15