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逐步加速交通流模型的渐近稳态行为
The Asymptotic Steady State Behavior of Gradual Acceleration Traffic Flow Model
【摘要】 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.
【Abstract】 In this paper, a new traffic flow cellular automaton model has been studied. This model is an intermedium model situated between Nagel - Scherkenbere (NS) model and Fukui - Ishibohi (FI) model . In the new meodel, the gradually finite acceleIation way as in NS medel is applied on cars, but only the car with the speed limit can be delayed stochastically as in FI medel. It is proved that the fundamental diagram of the new model is exact the same as gradual FI traffic flow model of high speed car with stochastic delay. This means, given the delay scinario of a car, the asymptotic steady state behavior of a traffic flow model does not depend on its car acceleraion way. Both for gradual acceleraion (as in NS model) and for abrupt aceleraion (as in FI model), the seIf - organization interaction betwenn the care can lead to exact same asymptotic stead state behavior of traffic flow.
【Key words】 traffic flow; cellular automaton model; asymptotic steady state; mean field eqution;
- 【文献出处】 深圳大学学报 ,Shenzhen University Journal , 编辑部邮箱 ,1999年Z1期
- 【分类号】U491.112
- 【被引频次】7
- 【下载频次】128