• Acta Physica Sinica
  • Vol. 69, Issue 6, 064501-1 (2020)
Yong Chen1、* and Wei Zhang2
Author Affiliations
  • 1School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
  • 2School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, China
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    DOI: 10.7498/aps.69.20191251 Cite this Article
    Yong Chen, Wei Zhang. Dynamic model of high speed following traffic flow[J]. Acta Physica Sinica, 2020, 69(6): 064501-1 Copy Citation Text show less
    Diagram of spatial relations of lane-changing vehicles.
    Fig. 1. Diagram of spatial relations of lane-changing vehicles.
    Rate of high speed car-following and denisty relationship diagram under the different probability of aggressive drivers: (a) Rate of high speed car-following in left lane; (b) rate of high speed car-following in right lane.
    Fig. 2. Rate of high speed car-following and denisty relationship diagram under the different probability of aggressive drivers: (a) Rate of high speed car-following in left lane; (b) rate of high speed car-following in right lane.
    Space-time diagrams of different lanes under the condition of ρ1 = 0.2 and ρ2 = 0.1: (a) Left lane evolution with STCA rules; (b) right lane evolution with STCA rules; (c) left lane evolution with HCCA rules; (d) right lane evolution with HCCA rules.
    Fig. 3. Space-time diagrams of different lanes under the condition of ρ1 = 0.2 and ρ2 = 0.1: (a) Left lane evolution with STCA rules; (b) right lane evolution with STCA rules; (c) left lane evolution with HCCA rules; (d) right lane evolution with HCCA rules.
    Space-time diagrams of different lanes under the condition of ρ1 = 0.3 and ρ2 = 0.1: (a) Left lane evolution with STCA rules; (b) right lane evolution with STCA rules; (c) left lane evolution with HCCA rules; (d) right lane evolution with HCCA rules.
    Fig. 4. Space-time diagrams of different lanes under the condition of ρ1 = 0.3 and ρ2 = 0.1: (a) Left lane evolution with STCA rules; (b) right lane evolution with STCA rules; (c) left lane evolution with HCCA rules; (d) right lane evolution with HCCA rules.
    Space-time diagrams of different lanes under the condition of ρ1 = 0.3 and ρ2 = 0.2: (a) Left lane evolution with STCA rules; (b) right lane evolution with STCA rules; (c) left lane evolution with HCCA rules; (d) right lane evolution with HCCA rules.
    Fig. 5. Space-time diagrams of different lanes under the condition of ρ1 = 0.3 and ρ2 = 0.2: (a) Left lane evolution with STCA rules; (b) right lane evolution with STCA rules; (c) left lane evolution with HCCA rules; (d) right lane evolution with HCCA rules.
    Velocity distribution diagram of different lanes under the condition of ρ1 = 0.08 and ρ2 = 0.08: (a) Left lane evolution with STCA rules; (b) right lane evolution with STCA rules; (c) left lane evolution with HCCA rules; (d) right lane evolution with HCCA rules.
    Fig. 6. Velocity distribution diagram of different lanes under the condition of ρ1 = 0.08 and ρ2 = 0.08: (a) Left lane evolution with STCA rules; (b) right lane evolution with STCA rules; (c) left lane evolution with HCCA rules; (d) right lane evolution with HCCA rules.
    Velocity distribution diagram of different lanes under the condition of ρ1 = 0.14 and ρ2 = 0.14: (a) Left lane evolution with STCA rules; (b) right lane evolution with STCA rules; (c) left lane evolution with HCCA rules; (d) right lane evolution with HCCA rules.
    Fig. 7. Velocity distribution diagram of different lanes under the condition of ρ1 = 0.14 and ρ2 = 0.14: (a) Left lane evolution with STCA rules; (b) right lane evolution with STCA rules; (c) left lane evolution with HCCA rules; (d) right lane evolution with HCCA rules.
    Density and flow relationship diagram under the mixing probability of different type drivers: (a) Density and flow relationship in left lane; (b) density and flow relationship in right lane.
    Fig. 8. Density and flow relationship diagram under the mixing probability of different type drivers: (a) Density and flow relationship in left lane; (b) density and flow relationship in right lane.
    速度密度计算模型高峰时段误差普通时段误差雪天误差
    Greenshields模型–0.24–0.11–0.28
    Greenberg模型0.510.560.29
    Underwood模型0.260.490.22
    本文HCCA模型–0.020.03–0.07
    Table 1.

    Comparison of calculation errors of different velocity-denisty models.

    不同速度密度关系计算的误差比较

    Yong Chen, Wei Zhang. Dynamic model of high speed following traffic flow[J]. Acta Physica Sinica, 2020, 69(6): 064501-1
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