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多级速度效应模型的分析解
Analytical Results for a Multi-virtual-velocity Model
【摘要】 基于速度效应模型,提出了多级速度效应模型。在建立该模型的过程中,将原本仅考虑目标车辆之前的第一辆车的虚拟速度推广至考虑前方多辆车的虚拟速度,因而该模型所包含的交通信息更为丰富,更能真实地反映实际道路交通状况。数值模拟得到的基本图显示:存在交通噪声(随机减速概率p≠0)时,较之NaSch模型更接近于实测数据;无交通噪声(随机减速概率p=0)时,能诱发亚稳态和迟滞现象。进一步借助于平均场理论,获得了多级速度效应模型在存在交通噪声时流量的近似解,无交通噪声时流量的精确解。
【Abstract】 Based on the virtual velocity cellular automaton(CA,for short) traffic flow model,the multi-virtual-velocity CA traffic flow model via considering many-neighbor interactions ahead is proposed.On the one hand,the fundamental diagrams obtained from the numerical simulation approach to the empirical data by comparing with the NaSch model under the same traffic noise.On the other hand,there exists a meta-stable state and hysteresis phenomenon under the condition of no traffic noise.Moreover,with the help of mean-field theory,analytical solutions for the model were obtained.
【Key words】 cellular automaton virtual velocity meta-stable state hysteresis phenomenon;
- 【文献出处】 科学技术与工程 ,Science Technology and Engineering , 编辑部邮箱 ,2013年12期
- 【分类号】U491.112
- 【被引频次】1
- 【下载频次】51