Please wait a minute...
Chin. Phys. B, 2014, Vol. 23(5): 050203    DOI: 10.1088/1674-1056/23/5/050203
GENERAL Prev   Next  

A new coupled map car-following model considering drivers’ steady desired speed

Zhou Tong (周桐)a b, Sun Di-Hua (孙棣华)a b, Li Hua-Min (李华民)a b, Liu Wei-Ning (刘卫宁)b c
a College of Automation, Chongqing University, Chongqing 400030, China;
b Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China;
c College of Computer Science, Chongqing University, Chongqing 400030, China
Abstract  Based on the pioneering work of Konishi et al., in consideration of the influence of drivers' steady desired speed effect on the traffic flow, we develop a new coupled map car-following model in the real world. By use of the control theory, the stability condition of our model is derived. The validity of the present theoretical scheme is verified via numerical simulation, confirming the correctness of our theoretical analysis.
Keywords:  traffic flow      traffic congestion      coupled map car-following model      steady desired speed effect  
Received:  11 September 2013      Revised:  28 October 2013      Accepted manuscript online: 
PACS:  02.60.Cb (Numerical simulation; solution of equations)  
  05.20.Dd (Kinetic theory)  
  05.45.Ra (Coupled map lattices)  
Fund: Project supported by the Major Consulting Project of Chinese Academy of Engineering (Grant No. 2012-ZX-22), the National Natural Science Foundation of China (Grant No. 71201178), the Natural Science Foundation of Chongqing City, China (Grant No. cstc2012jjB40002), the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20120191110047), the Engineering Center Research Program of Chongqing City, China (Grant No. cstc2011pt-gc30005), and the Key Technology R&D Project of Chongqing City, China (Grant Nos. cstc2011AB2052 and cstc2012gg-yyjsB30001).
Corresponding Authors:  Sun Di-Hua     E-mail:
About author:  02.60.Cb; 05.20.Dd; 05.45.Ra; 89.04.-a

Cite this article: 

Zhou Tong (周桐), Sun Di-Hua (孙棣华), Li Hua-Min (李华民), Liu Wei-Ning (刘卫宁) A new coupled map car-following model considering drivers’ steady desired speed 2014 Chin. Phys. B 23 050203

[1] Kerner B S and Rehborn H 1996 Phys. Rev. E 53 1297
[2] Wang T, Gao Z Y and Zhao X M 2006 Acta Phys. Sin. 55 634 (in Chinese)
[3] Jiang R, Wu Q S and Zhu Z J 2001 Phys. Rev. E 64 017101
[4] Peng G H and Sun D H 2010 Phys. Lett. A 374 1694
[5] Tang T Q, Li C Y, Wu Y H and Huang H J 2011 Physica A 390 3362
[6] Bando M, Hasebe K, Nakanishi K and Nakayama A 1998 Phys. Rev. E 58 5429
[7] Tang T Q, Wu Y H, Caccetta L and Huang H J 2011 Phys. Lett. A 375 3845
[8] Jin S, Qu X B, Chen X and Wang D H 2011 Physica A 390 1931
[9] Tang T Q, Huang H J, Wong S C and Jiang R 2007 Acta Mech. Sin. 23 49
[10] Kurata S and Nagatani T 2003 Physica A 318 537
[11] Konishi K, Kokame H and Hirata K 1999 Phys. Rev. E 60 4000
[12] Zhao X M and Gao Z Y 2006 Physica A 366 513
[13] Han X L, Jiang C Y, Ge H X and Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese)
[14] Yu H M, Cheng R J and Ge H X 2010 Commun. Theor. Phys. 54 117
[15] Ge H X, Cheng R J and Li Z P 2011 Acta Phys. Sin. 60 080508 (in Chinese)
[16] Ge H X, Liu Y X and Cheng R J 2012 Commun. Nonlinear Sci. Numer. Simulat. 17 4439
[17] Ge H X, Meng X P, Jian M and Lo S M 2012 Phys. Lett. A 377 9
[18] Zhou T, Sun D H, Zhao M and Li H M 2013 Chin. Phys. B 22 090205
[19] Sun D H, Zhou T, Liu W N and Zheng L J 2013 Acta Phys. Sin. 62 170503 (in Chinese)
[20] Sun D H, Li Y F, Liu W N, Zhao M and Liao X Y 2013 China Journal of Highway and Transport 26 144 (in Chinese)
[1] A novel lattice model integrating the cooperative deviation of density and optimal flux under V2X environment
Guang-Han Peng(彭光含), Chun-Li Luo(罗春莉), Hong-Zhuan Zhao(赵红专), and Hui-Li Tan(谭惠丽). Chin. Phys. B, 2023, 32(1): 018902.
[2] Traffic flow of connected and automated vehicles at lane drop on two-lane highway: An optimization-based control algorithm versus a heuristic rules-based algorithm
Huaqing Liu(刘华清), Rui Jiang(姜锐), Junfang Tian(田钧方), and Kaixuan Zhu(朱凯旋). Chin. Phys. B, 2023, 32(1): 014501.
[3] A novel car-following model by sharing cooperative information transmission delayed effect under V2X environment and its additional energy consumption
Guang-Han Peng(彭光含), Te-Ti Jia(贾特提), Hua Kuang(邝华), Hui-Li Tan(谭惠丽), and Tao Chen(陈陶). Chin. Phys. B, 2022, 31(5): 058901.
[4] Traffic flow prediction based on BILSTM model and data denoising scheme
Zhong-Yu Li(李中昱), Hong-Xia Ge(葛红霞), and Rong-Jun Cheng(程荣军). Chin. Phys. B, 2022, 31(4): 040502.
[5] Modeling the heterogeneous traffic flow considering the effect of self-stabilizing and autonomous vehicles
Yuan Gong(公元) and Wen-Xing Zhu(朱文兴). Chin. Phys. B, 2022, 31(2): 024502.
[6] Modeling and analysis of car-following behavior considering backward-looking effect
Dongfang Ma(马东方), Yueyi Han(韩月一), Fengzhong Qu(瞿逢重), and Sheng Jin(金盛). Chin. Phys. B, 2021, 30(3): 034501.
[7] CO2 emission control in new CM car-following model with feedback control of the optimal estimation of velocity difference under V2X environment
Guang-Han Peng(彭光含), Rui Tang(汤瑞), Hua Kuang(邝华), Hui-Li Tan(谭惠丽), and Tao Chen(陈陶). Chin. Phys. B, 2021, 30(10): 108901.
[8] A new car-following model with driver's anticipation effect of traffic interruption probability
Guang-Han Peng(彭光含). Chin. Phys. B, 2020, 29(8): 084501.
[9] Major impact of queue-rule choice on the performance of dynamic networks with limited buffer size
Xiang Ling(凌翔), Xiao-Kun Wang(王晓坤), Jun-Jie Chen(陈俊杰), Dong Liu(刘冬), Kong-Jin Zhu(朱孔金), Ning Guo(郭宁). Chin. Phys. B, 2020, 29(1): 018901.
[10] A macroscopic traffic model based on weather conditions
Zawar H. Khan, Syed Abid Ali Shah, T. Aaron Gulliver. Chin. Phys. B, 2018, 27(7): 070202.
[11] A new control method based on the lattice hydrodynamic model considering the double flux difference
Shunda Qin(秦顺达), Hongxia Ge(葛红霞), Rongjun Cheng(程荣军). Chin. Phys. B, 2018, 27(5): 050503.
[12] Traffic flow velocity disturbance characteristics and control strategy at the bottleneck of expressway
Jun-Wei Zeng(曾俊伟), Yong-Sheng Qian(钱勇生), Xu-Ting Wei(魏谞婷), Xiao Feng(冯骁). Chin. Phys. B, 2018, 27(12): 124502.
[13] Stability analysis of traffic flow with extended CACC control models
Ya-Zhou Zheng(郑亚周), Rong-Jun Cheng(程荣军), Siu-Ming Lo(卢兆明), Hong-Xia Ge(葛红霞). Chin. Phys. B, 2016, 25(6): 060506.
[14] A new traffic model on compulsive lane-changing caused by off-ramp
Xiao-He Liu(刘小禾), Hung-Tang Ko(柯鸿堂), Ming-Min Guo(郭明旻), Zheng Wu(吴正). Chin. Phys. B, 2016, 25(4): 048901.
[15] A new cellular automata model of traffic flow with negative exponential weighted look-ahead potential
Xiao Ma(马骁), Wei-Fan Zheng(郑伟范), Bao-Shan Jiang(江宝山), Ji-Ye Zhang(张继业). Chin. Phys. B, 2016, 25(10): 108902.
No Suggested Reading articles found!