Heterogeneous traffic flow modeling with drivers' timid and aggressive characteristics
Cong Zhai(翟聪)1,2, Weitiao Wu(巫威眺)1,†, and Songwen Luo(罗淞文)1
1 School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510641, China; 2 School of Transportation and Civil Engineering and Architecture, Foshan University, Foshan 528000, China
Abstract The driver's characteristics (e.g., timid and aggressive) has been proven to greatly affect the traffic flow performance, whereas the underlying assumption in most of the existing studies is that all drivers are homogeneous. In the real traffic environment, the drivers are distinct due to a variety of factors such as personality characteristics. To better reflect the reality, we introduce the penetration rate to describe the degree of drivers' heterogeneity (i.e., timid and aggressive), and proceed to propose a generalized heterogeneous car-following model with different driver's characteristics. Through the linear stability analysis, the stability conditions of the proposed heterogeneous traffic flow model are obtained based on the perturbation method. The impacts of the penetration rate of drivers with low intensity, the average value and standard deviation of intensity parameters characterizing two types of drivers on the stability of traffic flow are analyzed by simulation. Results show that higher penetration of aggressive drivers contributes to traffic flow stability. The average value has a great impact on the stability of traffic flow, whereas the impact of the standard deviation is trivial.
(Granular models of complex systems; traffic flow)
Fund: Project supported by the Regional Joint Fund for Foundation and Applied Research Fund of Guangdong Province, China (Grant No. 2019A1515111200), Youth Innovation Talents Funds of Colleges and Universities in Guangdong Province, China (Grant No. 2018KQNCX287), the Science and Technology Program of Guangzhou, China (Grant No. 201904010202), the National Science Foundation of China (Grant No. 72071079), and the Science and Technology Program of Guangdong Province, China (Grant No. 2020A1414010010).
Cong Zhai(翟聪), Weitiao Wu(巫威眺), and Songwen Luo(罗淞文) Heterogeneous traffic flow modeling with drivers' timid and aggressive characteristics 2021 Chin. Phys. B 30 100507
[1] Wu W T, Liu R H, Jin W Z and Ma C X 2019 Transport. Res. Part B.121 275 [2] Wu W T, Li P, Liu R H, Jin W Z, Yao B Z, Xie Y Q and Ma C X 2020 Transport. Res. Part E142 102041 [3] Wu W T, Liu R H, Jin W Z and Ma C X 2019 Transport. Res. Part E.130 61 [4] Wu W T, Lin Y, Liu R H, Li Y H, Zhang Y and Ma C X 2020 IEEE Trans. Intel. Transport. Systems 1 [5] Zhai C and Wu W T 2018 Nonlinear Dynam.93 2185 [6] Zhai C, Liu W M, Tan F G, Huang L and Song M L 2018 Transport. Plan. Techn.39 801 [7] Zhai C and Wu W T 2019 Int. J. Mod. Phys. C30 1950073 [8] Ma G Y, Ma M H, Liang S D, Wang Y S and Zhang Y Z 2020 Commun. Nonlinear Sci.85 105221 [9] Sun Y Q, Ge H X and Cheng R J 2019 Physica A521 752 [10] Sun Y Q, Ge H X and Cheng R J 2019 Physica A527 121426 [11] Hua W, Yue Y X, Wei Z L, Cheng J H and Wang W R 2020 Physica A556 124777 [12] Yang L, Zheng J R, Cheng Y and Ran B 2019 Physica A535 122277 [13] Li Q L, Wong S C, Min J, Tian S and Wang B H 2016 Physica A456 128 [14] Gupta A K and Katiyar V K 2007 Transportmetrica3 73 [15] Gupta A K and Sharma S 2012 Chin. Phys. B21 015201 [16] Gupta A K and Sharma S 2010 Chin. Phys. B19 110503 [17] Gupta A K and Dhiman I 2015 Nonlinear Dynam.79 663 [18] Zhai C and Wu W T 2020 Commun. Theor. Phys.72 105004 [19] Zhai C and Wu W T 2020 Eur. Phys. J. B93 52 [20] Gupta A K and Redhu P 2014 Nonlinear Dynam.76 1001 [21] Redhu P and Gupta A K 2015 Physica A421 249 [22] Zhai C and Wu W T 2021 Commun. Nonlinear Sci.95 105667 [23] Zhai C and Wu W T 2020 Int. J. Mod. Phys. C31 2050089 [24] Gupta A K and Redhu P 2013 Physica A392 5622 [25] Sharma S 2016 Nonlinear Dynam.86 2093 [26] Sharma S 2015 Nonlinear Dynam.81 991 [27] Sharma S 2015 Physica A421 401 [28] Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E51 1035 [29] Zhang J, Tang T Q and Yu S W 2018 Physica A492 1831 [30] Jin Z Z, Li Z P, Cheng R J and Ge H X 2018 Physica A507 278 [31] Li S K, Yang L X, Gao Z Y and Li K P 2014 ISA T.53 1739 [32] Li Y F, Zhong Z Y, Zhang K B and Zheng T X 2019 Physica A533 122022 [33] Guo L T, Zhao X M, Yu S W, Li X H and Shi Z K 2017 Physica A471 436 [34] Zhang G, Zhao M, Sun D H, Liu W N and Li H M 2016 Physica A442 532 [35] Li Y F, Sun D H, Liu W N, Zhang M, Zhao M, Liao X Y and Tang L 2011 Nonlinear Dynam.66 15 [36] Yu L, Shi Z K and Li T 2014 Phys. Lett. A378 348 [37] Ge H X, Meng X P, Cheng R J and Lo S M 2011 Physica A390 3348 [38] Zhu H B and Dai S Q 2008 Physica A387 3290 [39] Cao B G 2020 Physica A539 122903 [40] Wang Y J, Song H and Cheng R J 2019 Physica A515 440 [41] Liu D W, Shi Z K and Ai W H 2017 Commun. Nonlinear Sci.47 139 [42] Peng G H and Cheng R J 2013 Physica A392 3563 [43] Zhang J, Wang B, Li S B, Sun T and Wang T 2020 Physica A540 123171 [44] Cheng J Z, Liu R H, Ngoduy D and Shi Z K 2016 Nonlinear Dynam.85 2705 [45] Zhou T, Sun D H, Kang Y R, Li H M and Tian C 2014 Commun. Nonlinear Sci.19 3820 [46] Tang T Q, He J, Yang S C and Shang H Y 2014 Physica A413 583 [47] Peng G H, He H D and Lu W Z 2016 Physica A442 197 [48] Cheng R J, Ge H X and Wang J F 2017 Phys. Lett. A381 1302 [49] Sharma S 2015 Physica A421 401 [50] Peng G H and Qing L 2016 Mod. Phy. Lett. B30 1650351 [51] Wang Z H, Ge H X and Cheng R J 2020 Physica A540 122988 [52] Tang T Q, Luo X F and Liu K 2016 Physica A457 316 [53] Tang T Q, Li J G, Yang S C and Shang H Y 2015 Physica A419 293 [54] Ge H X, Meng X P, Zhu H B and Li Z P 2014 Physica A408 28 [55] Li Y F, Zhang L, Zheng H, He X Z, Peeta S, Zheng T X and Li Y G 2015 Nonlinear Dynam.82 629 [56] Li Y F, Zhang L, Peeta S, Pan H G, Zheng T X, Li Y G and He X Z 2015 Nonlinear Dynam.80 227 [57] Li Y F, Zhang L, Zhang B, Zheng T X, Feng H Z and Li Y G 2016 Nonlinear Dynam.85 1901 [58] Wang P C, Yu G Z, Wu X K, Qin H M and Wang Y P 2018 Physica A496 351 [59] Sun Y Q, Ge H X and Cheng R J 2019 Physica A534 122377 [60] Li Y F, Zhang L, Peeta S, He X Z, Zheng T X and Li Y G 2016 Nonlinear Dynam.85 2115 [61] Yu S W and Shi Z K 2015 Physica A428 206 [62] Li Y F, Kang Y H, Yang B, Peeta S, Zhang L, Zheng T X and Li Y G 2016 Physica A462 38 [63] Jin Y F and Hu H Y 2013 Commun. Nonlinear Sci.18 1027 [64] Chen D, Sun D H, Zhao M, Yang L Y, Zhou T and Xie F 2018 Nonlinear Dynam.92 1829 [65] Yang D, Qiu X P, Yu Dan, Sun R X and Pu Yun 2015 Physica A424 62 [66] Li Q L, Wong S C, Jie M, Tian S and Wang B H 2016 Physica A456 128 [67] Li Z P, Xu X, Xu S Z and Qian Y Q 2017 Commun. Nonlinear Sci.42 132 [68] Sun F X, Wang J F, Cheng R J and Ge H X 2018 Phys. Lett. A382 489 [69] Wang J F, Sun F X, Cheng R J and Ge H X 2018 Physica A506 1113 [70] Li Z P, Li W Z, Xu S Z, Qian Y Q and Sun J 2015 Physica A436 729 [71] Ren W L, Cheng R J and Ge H X 2021 Appl. Math. Comput.401 126079 [72] Ren W L, Cheng R J and Ge H X 2021 Appl. Math. Model.94 369 [73] Helbing D and Tilch B 1998 Phys. Rev. E58 133 [74] Jiang R, Wu Q S and Zhu Z J 2001 Phys. Rev. E64 017101
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