上海大学学报(自然科学版)

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加速过程慢启动的细化敏感驾驶交通流模型

黄雪峰,董力耘
  

  1. 上海大学 上海市应用数学和力学研究所,上海 200072
  • 收稿日期:2007-04-05 修回日期:1900-01-01 出版日期:2008-06-30 发布日期:2008-06-30
  • 通讯作者: 董力耘

Refined Sensitive Driving Traffic Flow Model with Slow-to-Start During Dcceleration

HUANG Xue-feng,DONG Li-yun
  

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • Received:2007-04-05 Revised:1900-01-01 Online:2008-06-30 Published:2008-06-30
  • Contact: DONG Li-yun

摘要: 为了更加真实地反映现实交通,基于一维单元胞自动机敏感驾驶模型建立了一个考虑加速过程慢启动的多元胞自动机模型.加速度慢启动效应由加速概率决定,模拟得到的最大流量随着加速概率的减小而减小.将模型进一步细化后发现,当ρ≤0.24时流量基本上不受加速概率变化的影响,当ρ>0.24时流量将随加速概率的减小而减小.数值模拟表明,用改进的模型能在较高
密度下刻画畅行相与阻塞相的相分离现象,也可在不同初始条件下再现亚稳态现象.模拟得
到的图与实测数据基本图相当符合.

关键词: 基本图, 加速概率
,
慢启动, 敏感驾驶, 元胞自动机

Abstract: In order to get better description of real traffic, an improved cellular automaton (CA) model is proposed on the basis of a sensitive driving CA model. The slow-to-start effect is introduced during the acceleration process, which is dependent on acceleration probability. It is found that the maximum flow decreases with decreasing acceleration probability. Furthermore, a refined sensitivedriving model is proposed. The corresponding simulation indicates that, with the density lower than 0.24, the flow is independent of acceleration probability, while with the density higher than 0.24, the flow reduces with decreasing acceleration probability for the same density. Phase separation between free phase and congested phase is clearly worked out in a temporalspatial pattern. Moreover,the meta-stability phenomena are reproduced under different initial conditions.Finally, the simulated fundamental diagram shows a pretty good agreement with that based on experimental data.

Key words: acceleration probability, fundamental diagram, sensitive driving, slow-to-tart, cellular automaton (CA)

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