摘要
对于一维交通流的含高速运动车（Ｖｍａｘ＝Ｍ＞１）并可随机延迟的福井石桥元胞自动机模型，从车头间距的观点进行了研究，给出了车头间距随时间演化的基本方程，定义了长车距和短车距的概念，并分别计算了它们的出现概率．在高密度（ρ≥１／Ｍ）条件下证明了长车距的长度将缩短，任何初态都将演化到所有车头间距皆为短车距的稳定态，从而严格地证明了对于有随机延迟的一般福井石桥交通流模型。
In this paper, Fukui Ishibashi one dimensional traffic flow cellular automaton model for high speed vehicles (v max =M>1) with stochastic delay is studied from the point of view of inter car spacings. Starting from the basic equation describing the time evolution of the number of empty sites in front of each car, the concepts of inter car spacing longer (shorter) than M are defined, the occurrence probabilities of longer spacing and shorter spacing are calculated respectively. For the situation of high density (ρ≥1/M), it is proved that the inter car spacing longer than M will be shorten, any initial configuration will approach to the steady state for which all the inter car spacing belong to shorter type. Hence it is proved strictly that for general Fukui Ishibashi traffic flow model with stochastic delay, when the car density is high, the fundamental diagram for the traffic flow asymptotic steady state does not change as the delay probability.
出处
《应用科学学报》
CAS
CSCD
1999年第2期142-147,共6页
Journal of Applied Sciences
基金
国家基础研究攀登计划
国家自然科学基金
关键词
交通流
元胞自动机
平均场方程
高速公路
traffic flow, cellular automaton, fundamental diagram, mean field equation
