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    Nonlinear Analysis of a New Extended Lattice Model With Consideration of Multi Anticipation and Driver Reaction Delays

    Source: Journal of Computational and Nonlinear Dynamics:;2014:;volume( 009 ):;issue: 003::page 31005
    Author:
    Chen, Jianzhong
    ,
    Shi, Zhongke
    ,
    Yu, Lei
    ,
    Peng, Zhiyuan
    DOI: 10.1115/1.4026444
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A new extended lattice model of traffic flow is presented by taking into account both multianticipative behavior and the reactiontime delay of drivers. The linear stability theory and the nonlinear analysis method are applied to the model. The linear stability condition is obtained. The Korteweg–de Vries (KdV) equation near the neutral stability line and the modified Korteweg–de Vries (mKdV) equation near the critical point are derived. The numerical results show that the stability of traffic flow will be enhanced by multianticipative consideration and will be weakened with the increase of the reactiontime delay. The unfavorable effect induced by driver reaction delays can be partly compensated by considering multianticipative behavior.
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      Nonlinear Analysis of a New Extended Lattice Model With Consideration of Multi Anticipation and Driver Reaction Delays

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    http://yetl.yabesh.ir/yetl1/handle/yetl/154172
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    contributor authorChen, Jianzhong
    contributor authorShi, Zhongke
    contributor authorYu, Lei
    contributor authorPeng, Zhiyuan
    date accessioned2017-05-09T01:05:56Z
    date available2017-05-09T01:05:56Z
    date issued2014
    identifier issn1555-1415
    identifier othercnd_009_03_031005.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/154172
    description abstractA new extended lattice model of traffic flow is presented by taking into account both multianticipative behavior and the reactiontime delay of drivers. The linear stability theory and the nonlinear analysis method are applied to the model. The linear stability condition is obtained. The Korteweg–de Vries (KdV) equation near the neutral stability line and the modified Korteweg–de Vries (mKdV) equation near the critical point are derived. The numerical results show that the stability of traffic flow will be enhanced by multianticipative consideration and will be weakened with the increase of the reactiontime delay. The unfavorable effect induced by driver reaction delays can be partly compensated by considering multianticipative behavior.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNonlinear Analysis of a New Extended Lattice Model With Consideration of Multi Anticipation and Driver Reaction Delays
    typeJournal Paper
    journal volume9
    journal issue3
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4026444
    journal fristpage31005
    journal lastpage31005
    identifier eissn1555-1423
    treeJournal of Computational and Nonlinear Dynamics:;2014:;volume( 009 ):;issue: 003
    contenttypeFulltext
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