From modified KdV-equation to a second-order cellular automaton for traffic flow

被引：6

作者：

Emmerich, H ^{[1
]}

Nagatani, T ^{[1
]}

Nakanishi, K ^{[1
]}

机构：

[1] Shizuoka Univ, Coll Engn, Div Thermal Sci, Hamamatsu, Shizuoka 432, Japan

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1998年 / 254卷 / 3-4期

关键词：

modified KdV; cellular automaton; traffic flow;

D O I：

10.1016/S0378-4371(98)00060-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a cellular automaton (CA) model for traffic now which is second order in time. The model is derived from the modified Korteweg-de Vries (MKdV) equation by use of the 'ultra-discretization method' (UDM) proposed by Tokihiro et al. (Phys. Rev. Lett. 76 (1996) 3247). This result can be seen as an analogue of the derivation of nonlinear evolution equations from differential- and differential-difference-equation traffic models. It is the intention of this paper to draw attention to exactly this analogy. We show that the model exhibits a crossover from a freely moving regime to a jammed regime with increasing density. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：548 / 556

页数：9

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