| 引用本文： |
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彭麟,吴大艳,刘贵泉,刘慕仁.一维交通流元胞自动机NS模型的统计平均解耦处理[J].广西科学,2005,12(1):35-38. [点击复制]
- Peng Lin,Wu Dayan,Liu Guiquan,Liu Muren.A Statistical Mechanical Approach to the Cellular Automaton NS Model of One-Dimensional Traffic Flow[J].Guangxi Sciences,2005,12(1):35-38. [点击复制]
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| 摘要: |
| 将文献[12]提出的统计平均解耦处理方法推广应用到一维交通流元胞自动机NS模型,根据概率论的定义,建立一维交通流元胞自动机NS模型多格点耦合的空间关联函数,得出t→∞情况下平均速度随减速概率和车辆密度变化的平均场方程,通过近似解耦处理得出车辆密度、速度及刹车概率三者的关系.模拟结果表明,车流平均速度与理论结果符合得较好. |
| 关键词: 元胞自动机 退耦近似 交通流 Nagel-Schreckenberg模型 |
| DOI： |
| 投稿时间：2004-05-21 |
| 基金项目:国家自然科学基金(70371067)、广西自然科学基金(0447030)和广西十百千人才工程(2001204)资助项目。 |
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| A Statistical Mechanical Approach to the Cellular Automaton NS Model of One-Dimensional Traffic Flow |
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Peng Lin1, Wu Dayan1, Liu Guiquan2, Liu Muren3
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| (1.Institute of Math. & Phy., Anhui Univ. of Tech., Ma'anshan, Anhui, 243002, China;2.Dept. of Sci., China Institute of Metrology, Hangzhou, Zhejiang, 310018, China;3.Coll. of Phy. & Info. Tech., Guangxi Normal Univ., Guilin, Guangxi, 541004, China) |
| Abstract: |
| With the approach applied in the literature[12],we study the celluar automaton model for one-dimensional traffic flow proposed by Nagel-Schreckenberg (NS).Mean field equations are obtained.This gives the average car speed in the long time limit as a fuction of the car density and the brake probability. The results are in good agreement with the simulation results. |
| Key words: cellular automaton the statisticl mechanical approach traffic flow Nagel-Schreckenberg model |
