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

机译:一种新的交通流随机元胞自动机模型及其模型   干扰相变

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摘要

A general stochastic traffic cellular automaton (CA) model, which includesslow-to-start effect and driver's perspective, is proposed in this paper. It isshown that this model includes well known traffic CA models such asNagel-Schreckenberg model, Quick-Start model, and Slow-to-Start model asspecific cases. Fundamental diagrams of this new model clearly show metastablestates around the critical density even when stochastic effect is present. Wealso obtain analytic expressions of the phase transition curve in phasediagrams by using approximate flow-density relations at boundaries. These phasetransition curves are in excellent agreement with numerical results.
机译:本文提出了一种通用的随机交通蜂窝自动机(CA)模型,该模型包括起步缓慢和驾驶员的视角。结果表明,该模型包括著名的交通CA模型,例如Nagel-Schreckenberg模型,Quick-Start模型和Slow-to-Start模型。即使存在随机效应,该新模型的基本图也清楚地显示了临界密度附近的亚稳态。通过使用边界处的近似流动密度关系,我们还获得了相图的相变曲线的解析表达式。这些相变曲线与数值结果非常吻合。

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