Abstract：In order to explore the influence of driver visual angle on manual car-following decision-making, a car-following model considering the expected visual angle is proposed based on the visual angle model. Considering the vehicle width, speed and driver risk perception, the expected visual angle function is constructed, and the improved VA model is established by using the expected visual angle as the direct feedback control term. Newton iteration method is used to solve the condition of linear stability of traffic flow. Numerical simulation and parameter calibration verify the improvement effect of the model. The results show that the traffic flow stability of the model in this paper is higher than that of the VA model. Considering the expected visual angle and collision risk perception is beneficial to enhance the stability and safety of traffic flow and improve the fitting accuracy of the model.
[1] 徐泽洲,曲大义,洪家乐,等.智能网联汽车自动驾驶行为决策方法研究[J].复杂系统与复杂性科学,2021,18(3):88-94. XU Z Z, QU D Y, HONG J L, et al. Research on decision-making method for autonomous driving behavior of connected and automated vehicle[J]. Complex Systems and Complexity Science, 2021, 18(3):88-94. [2] HAN J Y, WANG X Y, WANG G.Modeling the car-following behavior with consideration of driver, vehicle, and environment factors: a historical review[J]. Sustainability, 2022, 14(13):8179. [3] JIANG R, WU Q S, ZHU Z J. Full velocity differencemodel for a car-following theory[J]. Physical Review E, 2001, 64(1): 017101. [4] JIAO S Y, ZHANG S R, ZHOU B, et al. Dynamic performance and safety analysis of car-followingmodels considering collision sensitivity[J]. Physica A: Statistical Mechanics and Its Applications, 2021, 564:125504. [5] YU S W, TANG J J, XIN Q. Relative velocity differencemodel for the car-following theory[J]. Nonlinear Dynamics, 2018, 91(3): 1415-1428. [6] ZHANG Y, XIANG W, DONG J, et al. An improved car-followingmodel considering forecast speed difference with delay time[J]. Modern Physics Letters B, 2019, 33(33): 1950414. [7] MA G Y, MA M H, LIANG S D, et al. An improved car-followingmodel accounting for the time-delayed velocity difference and backward looking effect[J]. Communications in Nonlinear Science and Numerical Simulation, 2020, 85(B):105221. [8] YU B, ZHOU H X, WANG L, et al. An extended two-lane car-followingmodel considering the influence of heterogeneous speed information on drivers with different characteristics under honk environment[J]. Physica A: Statistical Mechanics and Its Applications, 2021, 578:126022. [9] TAN J H. Impact of risk illusions on traffic flow in fog weather[J]. Physica A: Statistical Mechanics and Its Applications, 2019, 525:216-222. [10] 彭勇,刘世洁,DENNIS Z Y.前后多车影响的跟驰模型及稳定性分析[J].交通运输系统工程与信息,2018,18(6):41-47,80. PENG Y, LIU S J, DENNIS Z Y. Stability analysis of a car-following model with consideration of preceding and following vehicles[J]. Journal of Transportation Systems Engineering and Information Technology, 2018, 18(6):41-47,80. [11] ANDERSEN G J, SAUER C W. Optical information for car following: the driving by visual angle (DVA)model.[J]. Human Factors, 2007, 49(5):878-896. [12] JIN S, WANG D H, HUANG Z Y, et al. Visual anglemodel for car-following theory[J]. Physica A: Statistical Mechanics and Its Applications, 2011, 390(11):1931-1940. [13] ZHOU J. An extended visual anglemodel for car-following theory[J]. Nonlinear Dynamics, 2015, 81(1/2):549-560. [14] MA D F, HAN Y Y, JIN S. Solid angle car followingmodel[J]. Chinese Physics B, 2020, 29(6):060504. [15] MA D F, HAN Y Y, QU F C, et al.Modeling and analysis of car-following behavior considering backward-looking effect[J]. Chinese Physics B, 2021, 30(3):034501. [16] JIANG N, YU B, CAO F, et al. An extended visual angle car-followingmodel considering the vehicle types in the adjacent lane[J]. Physica A: Statistical Mechanics and Its Applications, 2021, 566:125665. [17] ZHANG X Z, SHI Z K, CHEN J Z, et al. A bi-directional visual angle car-followingmodel considering collision sensitivity[J]. Physica A: Statistical Mechanics and Its Applications, 2023, 609:128326. [18] CHEN J Z, LIU R H, NGODUY D, et al. A new multi-anticipative car-followingmodel with consideration of the desired following distance[J]. Nonlinear Dynamics, 2016, 85(4):2705-2717. [19] 宗芳,石佩鑫,王猛,等.考虑前后多车的网联自动驾驶车辆混流跟驰模型[J].中国公路学报,2021,34(7):105-117. ZONG F, SHI P X, WANG M, et al. Connected and automated vehicle mixed-traffic car-following model considering states of multiple front and rear vehicles[J]. China Journal of Highway and Transport, 2021, 34(7):105-117. [20] HELBING D, TILCH B. Generalized forcemodel of traffic dynamics[J]. Physical review E, 1998, 58(1):133-138. [21] MINDERHOUD M M, BOVY P H L. Extended time-to-collision measures for road traffic safety assessment[J]. Accident Analysis & Prevention, 2001, 33(1):89-97.
