Cooperative Car-Following Model of Traffic Flow and Numerical Simulation
LIU You-Jun, ZHANG Hai-Lin** , HE Li
School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074
Abstract :Based on the impact of a desired following speed and safe distance on driving behaviour, we establish a cooperative car-following model (CCFM). The dynamics analysis results indicate that no unrealistic deceleration or collision occurs in the CCFM. Also, this model can describe the kinetic property in the processes of starting and braking. In addition, evolution of a small perturbation can be reproduced in a numerical simulation. Compared to the full velocity difference model (FVDM), the CCFM has a wider range of stability and a much smaller blocking region width. Meanwhile, the CCFM averts negative velocity, and is accordingly advanced compared with the comprehensive optimal velocity model (COVM). Moreover, the CCFM describes the deceleration process more smoothly than both the FVDM and COVM.
收稿日期: 2012-05-24
出版日期: 2012-10-01
:
45.70.Vn
(Granular models of complex systems; traffic flow)
02.60.Cb
(Numerical simulation; solution of equations)
05.70.Fh
(Phase transitions: general studies)
05.70.Jk
(Critical point phenomena)
[1] Masukura S, Nagatani T and Tanaka K 2009 J. Stat. Mech. 2009 04002 [2] Hanaura H, Masukura S and Nagatani T 2009 Physica A 388 1196 [3] Lv W, Song W G and Fang Z M 2011 Physica A 390 2303 [4] Tang T Q, Huang H J and Gao Z Y 2005 Phys. Rev. E 72 066124 [5] Treiber M, Hennecke A and Helbing D 2000 Phys. Rev. E 62 1805 [6] Chowdhury D, Santen L and Schadschneider A 2000 Phys. Rep. 329 199 [7] Helbing D 2001 Rev. Mod. Phys. 73 1067 [8] Zhang L D, Jia L and Zhu W X 2012 Acta Phys. Sin. 61 074501 (in Chinese) [9] Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E 51 1035 [10] Helbing D and Tilch B 1998 Phys. Rev. E 58 133 [11] Kesting A, Treiber M and Helbing D 2010 Philos. Trans. R. Soc. A 368 4585 [12] Peng G H, Cai X H, Liu C Q, Cao B F and Tuo M X 2011 Phys. Lett. A 375 3973 [13] Jiang R, Wu Q S and Zhu Z J 2001 Phys. Rev. E 64 017101 [14] Tian J F, Jia B and Li X G 2011 Commun. Theor. Phys. 55 1119 [15] Zhao X M and Gao Z Y 2005 Eur. Phys. J. B 47 145 [16] Peng G H and Sun D H 2009 Chin. Phys. B 18 5420 [17] Sun D H, Liao X Y and Peng G H 2011 Physica A 390 631 [18] Li C Y, Tang T Q, Huang H J and Shang H Y 2011 Chin. Phys. Lett. 28 038902 [19] Ge H X, Yu J and Lo S M 2012 Chin. Phys. Lett. 29 050502 [20] Zhao M, Sun D H and Tian C 2012 Chin. Phys. B 21 048901 [21] Ge H X, Cheng R J and Li Z P 2011 Acta Phys. Sin. 60 080508 (in Chinese) [22] Gunay B 2007 Transp. Res. Part B: Methodol. 41 722
[1]
. [J]. 中国物理快报, 2013, 30(4): 48101-048101.
[2]
. [J]. Chin. Phys. Lett., 2012, 29(12): 128902-128902.
[3]
. [J]. 中国物理快报, 2012, 29(9): 98903-098903.
[4]
Zarita Zainuddin, Lim Eng Aik. Response Surface Analysis of Crowd Dynamics during Tawaf [J]. 中国物理快报, 2012, 29(6): 78901-078901.
[5]
Zarita Zainuddin;Lim Eng Aik**. Intelligent Exit-Selection Behaviors during a Room Evacuation [J]. 中国物理快报, 2012, 29(1): 18901-018901.
[6]
GUO Ren-Yong**;GUO Xi
. Interactions between Intersecting Pedestrian and Vehicle Flows on Roads [J]. 中国物理快报, 2011, 28(11): 118903-118903.
[7]
LI Chuan-Yao;TANG Tie-Qiao;**;HUANG Hai-Jun;SHANG Hua-Yan
. A New Car-Following Model with Consideration of Driving Resistance [J]. 中国物理快报, 2011, 28(3): 38902-038902.
[8]
WEN Ping-Ping;LI Liang-Sheng;ZHENG Ning;SHI Qing-Fan. Static Structure of Two-Dimensional Granular Chain [J]. 中国物理快报, 2010, 27(12): 124502-124502.
[9]
CHEN Xi-Qun;LI Li;JIANG Rui;YANG Xin-Miao. On the Intrinsic Concordance between the Wide Scattering Feature of Synchronized Flow and the Empirical Spacing Distributions [J]. 中国物理快报, 2010, 27(7): 74501-074501.
[10]
SUN Xiao-Yan;JIANG Rui;WANG Bing-Hong;. Increase of Traffic Flux in Two-Route Systems by Disobeying the Provided Information [J]. 中国物理快报, 2010, 27(5): 58902-058902.
[11]
ZHAO Bo-Han;HU Mao-Bin;JIANG Rui;WU Qing-Song. A Realistic Cellular Automaton Model for Synchronized Traffic Flow [J]. 中国物理快报, 2009, 26(11): 118902-118902.
[12]
TANG Tie-Qiao;HUANG Hai-Jun;SHANG Hua-Yan;XUE Yu. Properties of Traffic Risk Coefficient [J]. 中国物理快报, 2009, 26(10): 108901-108901.
[13]
TANG Tie-Qiao;HUANG Hai-Jun;XU Xiang-Yang;XUE Yu. Analysis of Density Wave in Two-Lane Traffic [J]. 中国物理快报, 2007, 24(5): 1410-1413.