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Analysis Of Generalized Optimal Current Lattice Model For Traffic Flow

Author

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  • WEN-XING ZHU

    (Department of Automation, Shanghai Jiaotong University, Shanghai, 200240, China;
    School of Control Science and Engineering, Shandong University, Jinan, 250061, China)

  • EN-XIAN CHI

    (School of Control Science and Engineering, Shandong University, Jinan, 250061, China)

Abstract

A generalized optimal current lattice model (GOCLM) for traffic flow is proposed to describe the motion of the dynamical traffic flow with a consideration of multi-interaction of the front lattice sites. In order to verify the reasonability of the new model, the stability condition is obtained by the use of linear stability theory. The modified KdV (Korteweg–de Vries) equation is derived by the use of the nonlinear analysis method and the kink-antikink soliton solution is obtained near the critical point. The propagation velocities of density waves are calculated for different numbers of the front interactions. A numerical simulation is carried out to check out the performance of GOCLM for traffic flow. The simulation results show that GOCLM is better than the previous models in suppressing the traffic jams.

Suggested Citation

  • Wen-Xing Zhu & En-Xian Chi, 2008. "Analysis Of Generalized Optimal Current Lattice Model For Traffic Flow," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(05), pages 727-739.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:05:n:s0129183108012467
    DOI: 10.1142/S0129183108012467
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    Cited by:

    1. Zhu, Chenqiang & Zhong, Shiquan & Li, Guangyu & Ma, Shoufeng, 2017. "New control strategy for the lattice hydrodynamic model of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 445-453.
    2. Wang, Yunong & Cheng, Rongjun & Ge, Hongxia, 2017. "A lattice hydrodynamic model based on delayed feedback control considering the effect of flow rate difference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 478-484.
    3. Tang, Tie-Qiao & Rui, Ying-Xu & Zhang, Jian & Wang, Tao, 2018. "Impacts of group behavior on bicycle flow at a signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 1205-1215.

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