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The asymptotic steady states of deterministic one-dimensional traffic flow models

机译:确定性一维交通流模型的渐近稳态

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摘要

The asymptotic steady state of deterministic Nagel-Schreckenberg (NS) traffic flow cellular automaton (CA) model for high-velocity cars (upsilon(max) = M > 1) is studied. It is shown that the fundamental diagram, i.e., the relationship between the average car velocity and the car density, of the NS model in which the velocity of a car may increase by at most one unit per time step is exactly the same as that of the Fukui-Ishibashi (FI) traffic flow CA model in which a car may increase its velocity abruptly from zero to M or the maximum velocity allowed by the empty spacings ahead in one time step. This implies that for both gradual and abrupt accelerations, the self-organization of cars gives the same asymptotic behavior in one-dimensional traffic flow models. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 6]
机译:研究了用于高速汽车(upsilon(max)= M> 1)的确定性Nagel-Schreckenberg(NS)交通流元胞自动机(CA)模型的渐近稳态。结果表明,NS模型的基本图,即平均轿厢速度与轿厢密度之间的关系,其中轿厢的速度每时间步长最多可以增加一个单位,这与NS模型的基本图完全相同。 Fukui-Ishibashi(FI)交通流CA模型,其中汽车可能会在一个时间步中将速度从零突然增加到M或前方空车间隔允许的最大速度。这意味着对于渐进式和突变式加速,汽车的自组织在一维交通流模型中都具有相同的渐近行为。 (C)2000 Elsevier Science B.V.保留所有权利。 [参考:6]

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