Criteria for convective versus absolute string instability in car-following models
Criteria for convective versus absolute string instability in car-following models
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DOI：
10.1098/rspa.2010.0437
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发表时间：
2011-08
期刊：
影响因子：
--
通讯作者：
J. A. Ward;R. E. Wilson
中科院分区：
文献类型：
--
作者：
J. A. Ward;R. E. Wilson
分析了公路交通跟驰模型的线性稳定性。一个一般的家庭模型的介绍和随后的分析发展方面的偏导数。波传播的两个措施，即（i）的群速度和（ii）的信号速度，介绍和计算。这些测量用于对不稳定性如何传播干扰进行分类，相对于车辆行驶的沿着的框架进行测量。探测器的数据表明，扰动应该只在上游方向传播（对流上游不稳定），它示出了如何参数化模型，以符合数据，并避免不切实际的下游传播（绝对和对流下游不稳定）。
The linear stability properties of car-following models of highway traffic are analysed. A general family of models is introduced and the subsequent analysis developed in terms of its partial derivatives. Two measures of wave propagation, namely (i) the group velocity and (ii) the signal velocity, are introduced and computed. These measures are used to classify how instability propagates disturbances, measured relative to the frame of the road along which the vehicles drive. Detector data suggest that disturbances should propagate only in an upstream direction (convective upstream instability), and it is shown how to parametrize models to agree with data and avoid unrealistic downstream propagation (absolute and convective downstream instability).