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提出一种新的一维交通流元胞自动机模型,该模型采用NS模型中的车辆逐步有限加速方式和FI模型中的仅最大速车辆可随机慢化的方式.证明了新模型的基本图平均场方程,即渐近稳态中车辆平均速度<V(t→∞)>与车辆密度ρ之间的函数关系,与一般FI模型完全相同.这说明:在车辆随机延迟方式确定后,交通流渐迈德态的行为并不依赖于车辆的加速方式.不管是逐步有限加速方式(如NS模型),还是在同一个时步内从零直接增加到速限或前方间距所允许的最大速度的突然加速方式(如FI模型),车辆之间的自组织相互作用将产生完全相同的渐近稳态行为.
A new one-dimensional Cellular Automata model of traffic flow is proposed. The model uses a step-by-step finite acceleration mode of the NS model and a mode that only the largest speed vehicles in the FI model can be randomly moderated. It is proved that the average field equation of the basic graph of the new model, that is to say the function of the mean vehicle velocity and vehicle density ρ in asymptotic steady state, is exactly the same as the general FI model. This shows that after the random delay of vehicles is determined, the behavior of the traffic flow Melatig method does not depend on the acceleration of the vehicle. Whether it is a step-by-step limited acceleration mode (such as the NS model) or a sudden acceleration mode (such as the FI model) that directly increases from zero to the maximum speed allowed by the speed limit or the front distance in the same time step, self-organization Interactions will produce exactly the same asymptotic steady-state behavior.