An extended continuum mixed traffic model

被引:28
作者
Zhang, Yicai [1 ,2 ]
Zhao, Min [1 ,2 ]
Sun, Dihua [1 ,2 ]
Dong, Chen [3 ]
机构
[1] Chongqing Univ, Key Lab Dependable Serv Comp Cyber Phys Soc, Minist Educ, Chongqing 400044, Peoples R China
[2] Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China
[3] Guangxi Univ Finance & Econ, Coll Management Sci & Engn, Nanning 53007, Peoples R China
基金
中国国家自然科学基金;
关键词
Mixed traffic; Macroscopic model; Traffic flow; ACC vehicles; LATTICE HYDRODYNAMIC MODEL; MACRO MODEL; SHOCK-WAVES; FLOW MODEL; EQUATION;
D O I
10.1007/s11071-021-06201-z
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
With the development of vehicle technology, the number of vehicles equipped with the adaptive cruise control (ACC) system is increasing, and it is more and more common for ACC vehicles to drive with regular vehicles. In this work, we proposed a mixed traffic model with regular vehicles and ACC vehicles via the transformation of micro-model and macro-model. The linear stability analysis tells that the permeability of ACC vehicles has an important influence on the traffic system. Meanwhile, through the nonlinear analysis, the KdV-Burgers equation describing the density wave is obtained. Besides, the results of numerical simulations are consistent with the theory, which indicates that the increase in ACC vehicles is conducive to the stability of the transportation system.
引用
收藏
页码:1891 / 1909
页数:19
相关论文
共 50 条
[21]   Nonlinear analysis of traffic jams in an anisotropic continuum model [J].
Arvind Kumar Gupta ;
Sapna Sharma .
Chinese Physics B, 2010, 19 (11) :160-168
[22]   DEIVATION OF CONTINUUM TRAFFIC MODEL FOR WEAVING SECTIONS ON FREEWAYS [J].
Ngoduy, D. .
TRANSPORTATION AND THE ECONOMY, 2005, :328-337
[23]   Derivation of continuum traffic model for weaving sections on freeways [J].
Ngoduy, D. .
TRANSPORTMETRICA, 2006, 2 (03) :199-222
[24]   The study for continuum model considering traffic jerk effect [J].
Liu, Huaqing ;
Cheng, Rongjun ;
Zhu, Keqiang ;
Ge, Hongxia .
NONLINEAR DYNAMICS, 2016, 83 (1-2) :57-64
[25]   A new continuum model for traffic flow and numerical tests [J].
Jiang, R ;
Wu, QS ;
Zhu, ZJ .
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 2002, 36 (05) :405-419
[26]   An extended macro model for traffic flow with consideration of multi static bottlenecks [J].
Tang, T. Q. ;
Li, P. ;
Yang, X. B. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (17) :3537-3545
[27]   An extended non-lane-discipline-based continuum model through driver behaviors for analyzing multi-traffic flows [J].
Hadadi, Farhad ;
Tehrani, Hosein Ghasemzadeh ;
Aghayan, Iman .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2023, 625
[28]   A macroscopic traffic flow model considering the velocity difference between adjacent vehicles on uphill and downhill slopes [J].
Zhang, Peng ;
Xue, Yu ;
Zhang, Yi-Cai ;
Wang, Xue ;
Cen, Bing-Lin .
MODERN PHYSICS LETTERS B, 2020, 34 (21)
[29]   Scalable traffic stability analysis in mixed-autonomy using continuum models [J].
Huang, Kuang ;
Di, Xuan ;
Du, Qiang ;
Chen, Xi .
TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES, 2020, 111 :616-630
[30]   Analysis of drivers' characteristics on continuum model with traffic jerk effect [J].
Zhai, Cong ;
Wu, Weitiao .
PHYSICS LETTERS A, 2018, 382 (47) :3381-3392