带有最优流量记忆时间差的一类新格子模型

交通运输系统工程与信息 ›› 2018, Vol. 18 ›› Issue (4): 96-102.

• 智能交通系统与信息技术 • 上一篇下一篇

带有最优流量记忆时间差的一类新格子模型

翟聪^*1，刘伟铭²，黄玲²

1. 佛山科学技术学院交通与土木建筑学院，广东佛山 528000；2. 华南理工大学土木与交通学院，广州 510640

收稿日期:2018-02-09 修回日期:2018-04-27 出版日期:2018-08-25 发布日期:2018-08-27
作者简介:翟聪(1989-)，男，江西南昌人，讲师，博士生.
基金资助:
国家自然科学基金/National Natural Science Foundation of China(51408237)；广东省科技计划项目/Science and Technology Planning Project of Guangdong Province(2012A010800003).

A Class of New Lattice Model with Consideration of the Optimal Current Changes with Memory

ZHAI Cong¹, LIU Wei-ming², HUANG Ling²

1. School of Transportation and Civil Engineering and Architecture, Foshan University, Foshan 528000, Guangdong, China; 2.School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China

Received:2018-02-09 Revised:2018-04-27 Online:2018-08-25 Published:2018-08-27

摘要/Abstract

摘要：

为了分析最优流量记忆时间差对交通流稳定性的影响，本文基于考虑驾驶员估计得到的最优流量信息，同时考虑驾驶员在驾车过程中受到记忆时间的影响，给出了一类新的格子流体动力学模型.首先，基于线性稳定性理论，获得了新模型的稳定性条件；随后，通过非线性分析方法，给出该模型的mKdV方程；然后，基于求解上述方程所得到的扭结—反扭结孤立波可用于描述交通拥挤的转化和传播过程.最后，通过仿真算例验证了上述理论分析的结论，即驾驶员的记忆时间和最优流量记忆时间差能够显著影响交通流的稳定性，同时增大记忆时间步长和强度系数可以有效地增强交通流的稳定性.

关键词: 智能交通, 流量记忆时间差, 线性稳定, 格子模型, mKdV方程

Abstract:

Based on the effect of optimal current estimated by the driver, meanwhile, the driver is affected by the memory time during driving, in this paper, a new lattice model is presented with the consideration of the optimal current change with memory effect. The model’s linear stability condition is obtained by applying the linear stability theory, and through nonlinear analysis, a modified Korteweg-de Vries (mKdV) equation is derived to describe the propagating behavior of traffic density wave near the critical point. Numerical simulation verified that not only the sensitivity of the optimal velocity change with memory of driver but also the memory step could effectively stabilize the traffic flow. In addition, the stability of traffic flow is strengthened by increasing the memory step-size of optimal current changes and the intensity of drivers’ memory with such changes that the new model can improve the stability of traffic flow by adjusting the driver’s memory parameter, which is consistent with the theoretical analysis.

Key words: intelligent transportation, optimal velocity change with memory, linear stability, lattice model, mKdV equation

中图分类号:

TP11

翟聪，刘伟铭，黄玲. 带有最优流量记忆时间差的一类新格子模型[J]. 交通运输系统工程与信息, 2018, 18(4): 96-102.

ZHAI Cong, LIU Wei-ming, HUANG Ling. A Class of New Lattice Model with Consideration of the Optimal Current Changes with Memory[J]. Journal of Transportation Systems Engineering and Information Technology, 2018, 18(4): 96-102.

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链接本文: http://www.tseit.org.cn/CN/abstract/abstract19666.shtml

http://www.tseit.org.cn/CN/Y2018/V18/I4/96

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带有最优流量记忆时间差的一类新格子模型

A Class of New Lattice Model with Consideration of the Optimal Current Changes with Memory

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