An extended multi-anticipative delay model of traffic flow

An extended multi-anticipative delay model of traffic flow
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交通流的扩展多预期延迟模型

DOI:
10.1016/j.cnsns.2014.02.006
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发表时间:
2014-09
期刊:
Communications in Nonlinear Science & Numerical Simulation
影响因子:
--
通讯作者:
Chen, Jianzhong
Chen, Jianzhong
中科院分区:
其他
文献类型:
--
作者:
Hu, Yanmei;Ma, Tianshan;Chen, Jianzhong

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通过引入多个速度差并考虑驾驶员的反应时间延迟,提出了一个扩展的多预期延迟模型。应用线性稳定性理论得到了新模型的稳定性条件,并利用非线性分析方法导出了修正的Korteweg-de弗里斯(mKdV)方程。分析和数值计算结果表明,驾驶员反应时滞和多车速差信息对模型的稳定性有重要影响,通过增加多车速差信息或减少时滞,可以提高交通流的稳定性.
An extended multi-anticipative delay model is proposed by introducing multiple velocity differences and incorporating the reaction-time delay of drivers. The stability condition of the new model is obtained by applying the linear stability theory, and the modified Korteweg–de Vries (mKdV) equation is derived by the use of the nonlinear analysis method. The analytical and numerical results show that both the reaction-time delay of drivers and the information of multiple velocity differences have an important influence on the stability of the model, and that the stabilization of traffic flow is enhanced by appending the velocity difference information of multiple vehicles ahead or by decreasing the delay time.
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