摘要
研究ＮａｇｅｌＳｃｈｒｅｃｋｅｎｂｅｒｇ（ＮＳ）交通流元胞自动机模型在不考虑车辆随机延迟情况下的决定论性模型的基本图，即渐近稳态的车流平均速度作为车辆密度的函数关系．证明决定论性ＮＳ模型，在车流的自组织作用下，其渐近稳态的基本图，与决定论性ＦｕｋｕｉＩｓｈｉｂａｓｈｉ（ＦＩ）交通流模型的基本图完全相同．这个结果表明，若把ＦＩ交通流模型中的车辆突然加速方式（即车辆速度可以在仅仅一个时步内加速到其最高速限Ｍ或前方空距所允许的最大速度），改变为车辆逐步加速方式（车辆速度在每一时步中最多仅能增加一个速度单位），则车辆的自组织相互作用，并不会改变其车流的长时间渐近稳态行为．
Abstract In this paper,the fundamental diagram of the average traffic flow speed in
the asymptotic steady state as a function of vehicle density for deterministic Nagel
Schreckenberg(NS) traffic flow cellular automaton model of high speed car without stochastic
delay has been studied.It is proved that due to self organization of traffic flow,the fundamental
diagram in steady state of deterministic NS model is exactly the same as that of deterministic
Fukui Ishibashi(FI) traffic flow model.This result shows if the abrupt acceleration scenario(where
the speed of a car may be accelerated to the velocity limit M or the maximum velocity
permitted by the spacing ahead in only one time step) is changed to the gradual acceleration
scenario(where the speed of a car can increase one unit at most in one time step),the traffic flow
behavior in asymptotic steady state will not be changed by self organization car interactions).
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
1999年第5期808-815,共8页
Acta Physica Sinica
基金
国家攀登计划"非线性科学"资助
国家自然科学基金
