Please wait a minute...
Chin. Phys. B, 2013, Vol. 22(6): 060208    DOI: 10.1088/1674-1056/22/6/060208
GENERAL Prev   Next  

A new coupled-map car-following model based on a transportation supernetwork framework

Yao Jinga b, Huang Jing-Yia, Chen Guan-Rongc, Xu Wei-Shenga
a Department of Control Science and Engineering, Tongji University, Shanghai 201804, China;
b Department of Electronic and Computer Engineering, The Hong Kong University of Science and Technology, Hong Kong SAR, China;
c Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, China
Abstract  A new car-following model is proposed by considering information from a number of preceding vehicles with inter-vehicle communication. A supernetwork architecture is first described, which has two layers: a traffic network and a communication network. The two networks interact with and depend on each other. The error dynamic system around the steady state of the model is theoretically analyzed and some nonjam criteria are derived. A simple control signal is added to the model to analyze the criteria of suppressing traffic jams. The corresponding numerical simulations confirm the correctness of the theoretical analysis. Compared with previous studies concerning coupled map models, the controlled model proposed in this paper is more reasonable and also more effective in the sense that it takes into account the formation of traffic congestion.
Keywords:  traffic flow      coupled map car-following model      inter-vehicle communication      supernetwork  
Received:  24 November 2012      Revised:  21 January 2013      Accepted manuscript online: 
PACS:  02.60.Cb (Numerical simulation; solution of equations)  
  05.20.Dd (Kinetic theory)  
  05.45.Ra (Coupled map lattices)  
  89.04.-a  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61174158, 61034004, 91024023, and 61272271), the Special Fund from the China Postdoctoral Science Foundation (Grant No. 201104286), the China Postdoctoral Science Foundation (Grant No. 2012M510117), the Natural Science Foundation Program of Shanghai (Grant No. 12ZR1434000), the Fundamental Research Funds for the Central Universities, and the Hong Kong Research Grants Council (Grant No. GRF Grant CityU1109/12).
Corresponding Authors:  Yao Jing     E-mail:  yaojing@tongji.edu.cn

Cite this article: 

Yao Jing, Huang Jing-Yi, Chen Guan-Rong, Xu Wei-Sheng A new coupled-map car-following model based on a transportation supernetwork framework 2013 Chin. Phys. B 22 060208

[1] Pipes L A 1953 J. Appl. Phys. 24 274
[2] Pipes L A 1967 Trans. Res. 1 21
[3] Newell G F 1961 Oper. Res. 9 209
[4] Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E 51 1035
[5] Helbing D and Tilch B 1998 Phys. Rev. E 58 133
[6] Konishi K, Kokame H and Hirata K 1999 Phys. Rev. E 60 4000
[7] Zhao X M and Gao Z Y 2006 Physica A 366 513
[8] Han X L, Jiang C Y, Ge H X and Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese)
[9] Han X L, Li X L and Jiang C Y 2009 J. Transpn. Sys. Eng. & I.T. 9 62
[10] Ge H X, Cheng R J and Li Z P 2011 Acta Phys. Sin. 60 080508 (in Chinese)
[11] Shen F Y, Zhang H, Ge H X, Yu H M and Lei L 2009 Chin. Phys. B 18 4208
[12] Yu H M, Cheng R J and Ge H X 2010 Commun. Theor. Phys. 54 117
[13] Ge H X 2011 Chin. Phys. B 20 090502
[14] Jiang R, Wu Q S and Zhu Z J 2010 Transp. Res. B 36 405
[15] Ge H X, Dai S Q, Dong L Y and Xue Y 2004 Phys. Rev. E 70 066134
[16] Ge H X, Dai S Q, Dong L Y and Dong L Y 2006 Physica A 365 543
[17] Peng G H and Sun D H 2009 Chin. Phys. B 18 5420
[18] Peng G H 2010 Chin. Phys. B 19 056401
[19] Sun D H, Liao X Y and Peng G H 2011 Physica A 390 631
[20] Jin W L and Recker W W 2010 IEEE Trans. Wireless Comm. 1 106
[21] Nagurney A and Dong J 2002 Supernetworks: Decision-Making for the Information Age (Cheltenham: Edward Elgar Press)
[1] 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.
[2] 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.
[3] 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.
[4] 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.
[5] 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.
[6] 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.
[7] 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.
[8] 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.
[9] A new traffic model with a lane-changing viscosity term
Ko Hung-Tang, Liu Xiao-He, Guo Ming-Min, Wu Zheng. Chin. Phys. B, 2015, 24(9): 098901.
[10] A cellular automata model of traffic flow with variable probability of randomization
Zheng Wei-Fan, Zhang Ji-Ye. Chin. Phys. B, 2015, 24(5): 058902.
[11] Biham-Middleton-Levine model in consideration of cooperative willingness
Pan Wei, Xue Yu, Zhao Rui, Lu Wei-Zhen. Chin. Phys. B, 2014, 23(5): 058902.
[12] Cellular automata model for traffic flow with safe driving conditions
María Elena Lárraga, Luis Alvarez-Icaza. Chin. Phys. B, 2014, 23(5): 050701.
[13] A new coupled map car-following model considering drivers’ steady desired speed
Zhou Tong, Sun Di-Hua, Li Hua-Min, Liu Wei-Ning. Chin. Phys. B, 2014, 23(5): 050203.
[14] A control method applied to mixed traffic flow for the coupled-map car-following model
Cheng Rong-Jun, Han Xiang-Lin, Lo Siu-Ming, Ge Hong-Xia. Chin. Phys. B, 2014, 23(3): 030507.
[15] On the modeling of synchronized flow in cellular automaton models
Jin Cheng-Jie, Wang Wei, Jiang Rui. Chin. Phys. B, 2014, 23(2): 024501.
No Suggested Reading articles found!