Steady state speed distribution analysis for a combined cellular automaton traffic model

• 来源期刊: 中国物理B(英文版)
• 关键词: cellular automaton traffic flow model speed distribution discrete time Markov chain
• 年，卷（期）: 2008,（8）
• 页码范围: 2850-2858
• 页数: 9页
• 语种: 英文

摘要

Cellular Automaton (CA) baaed traffic flow models have been extensively studied due to their effectiveness and simplicity in recent years. This paper develops a discrete time Markov chain (DTMC) analytical framework for a Nagel-Schreckenberg and Fukui-Ishibashi combined CA model (W2H traffic flow model) from microscopic point of view to capture the macroscopic steady state speed distributions. The inter-vehicle spacing Markov chain and the steady state speed Markov chain are proved to be irreducible and ergodie. The theoretical speed probability distributions depending on the traffic density and stochastic delay probability are in good accordance with numerical simulations. The derived fundamental diagram of the average speed from theoretical speed distributions is equivalent to the results in the previous work.