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Kinetic segregation in a multilane highway traffic flow

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  • Nagatani, Takashi

Abstract

A traffic model is presented to study the segregation of cars on a multilane highway. When a fast (slow) car overtakes (is overtaken by) a slow (fast) car, the fast (slow) car shifts to the outer (inner) lane. The traffic kinetics on a multilane highway is described in terms of Boltzmann-like kinetic equations. The segregation of cars between lanes is studied by deriving the velocity distribution on each lane from the kinetic equations. The discrete versions of the kinetic equations are presented to solve numerically these equations. The time evolutions of velocity distributions on the lanes are calculated by numerical method. The velocity distributions on two-lane, three-lane, four-lane and five-lane highways in a steady state are also derived numerically. It is shown that the slower cars gather on the inner lanes, the faster cars gather on the outer lanes and then a segregation occurs by changing lanes.

Suggested Citation

  • Nagatani, Takashi, 1997. "Kinetic segregation in a multilane highway traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(1), pages 67-74.
    • Handle: RePEc:eee:phsmap:v:237:y:1997:i:1:p:67-74
    DOI: 10.1016/S0378-4371(96)00454-2
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    Cited by:

    1. Sun, Yuqing & Ge, Hongxia & Cheng, Rongjun, 2018. "An extended car-following model under V2V communication environment and its delayed-feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 349-358.
    2. Hu, Zejing & Smirnova, M.N. & Zhang, Yongliang & Smirnov, N.N. & Zhu, Zuojin, 2021. "Estimation of travel time through a composite ring road by a viscoelastic traffic flow model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 501-521.
    3. Sun, Yuqing & Ge, Hongxia & Cheng, Rongjun, 2019. "An extended car-following model considering driver’s memory and average speed of preceding vehicles with control strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 752-761.
    4. Yu, Bin & Zhou, Huixin & Wang, Lin & Wang, Zirui & Cui, Shaohua, 2021. "An extended two-lane car-following model considering the influence of heterogeneous speed information on drivers with different characteristics under honk environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    5. Mei, Yiru & Zhao, Xiaoqun & Qian, Yeqing & Xu, Shangzhi & Li, Zhipeng, 2021. "Effect of self-stabilizing control in lattice hydrodynamic model with on-ramp and off-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 575(C).

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