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Stability analysis of traffic flow with extended CACC control models |
| Ya-Zhou Zheng(郑亚周)1, Rong-Jun Cheng(程荣军)2,4, Siu-Ming Lo(卢兆明)3, Hong-Xia Ge(葛红霞)2,4 |
1 Faculty of Science, Ningbo University, Ningbo 315211, China;
2 Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China;
3 Department of Civil and Architectural Engineering, City University of Hong Kong, Kowloon, China;
4 Jiangsu Key laboratory of Urban ITS, Southeast University, Nanjing 210096, China |
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Abstract To further investigate car-following behaviors in the cooperative adaptive cruise control (CACC) strategy, a comprehensive control system which can handle three traffic conditions to guarantee driving efficiency and safety is designed by using three CACC models. In this control system, some vital comprehensive information, such as multiple preceding cars' speed differences and headway, variable safety distance (VSD) and time-delay effect on the traffic current and the jamming transition have been investigated via analytical or numerical methods. Local and string stability criterion for the velocity control (VC) model and gap control (GC) model are derived via linear stability theory. Numerical simulations are conducted to study the performance of the simulated traffic flow. The simulation results show that the VC model and GC model can improve driving efficiency and suppress traffic congestion.
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Received: 14 December 2015
Revised: 25 January 2016
Accepted manuscript online:
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PACS:
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05.70.Fh
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(Phase transitions: general studies)
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05.70.Jk
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(Critical point phenomena)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 71571107 and 11302110). The Scientific Research Fund of Zhejiang Province, China (Grant Nos. LY15A020007, LY15E080013, and LY16G010003). The Natural Science Foundation of Ningbo City (Grant Nos. 2014A610030 and 2015A610299), the Fund from the Government of the Hong Kong Administrative Region, China (Grant No. CityU11209614), and the K C Wong Magna Fund in Ningbo University, China. |
Corresponding Authors:
Hong-Xia Ge
E-mail: gehongxia@nbu.edu.cn
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Cite this article:
Ya-Zhou Zheng(郑亚周), Rong-Jun Cheng(程荣军), Siu-Ming Lo(卢兆明), Hong-Xia Ge(葛红霞) Stability analysis of traffic flow with extended CACC control models 2016 Chin. Phys. B 25 060506
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| [1] |
Kerner B S and Rehborn H 1996 Phys. Rev. E 53 1297
|
| [2] |
Jiang R, Wu Q S and Zhu Z J 2002 Trans. Res. B 36 405
|
| [3] |
Rajamani R and Shladover S 2011 Transp. Res. Part C Emerging Technologies 9 15
|
| [4] |
Zhao X M and Gao Z Y 2006 Physica A 366 513
|
| [5] |
Li Z P and Liu Y C 2006 Eur. Phys. J. B 53 367
|
| [6] |
Hounsell N B, Mcleod F N and Burton P 1990 Third International Conference on Road Traffic Control, May 1-3, 1990 London, England, p. 99-103
|
| [7] |
Sims A G and Dobinson K W 1980 IEEE Transactions on Vehicular Technology 29 130
|
| [8] |
Yu S W and Shi K Z 2016 Commun. Nonlinear Sci. Numer. Simul. 36 319
|
| [9] |
Jiang R, Wu Q S and Zhu Z J 2011 Phys. Rev. E 64 017101
|
| [10] |
Yu S W and Shi K Z 2015 Physica A 421 14
|
| [11] |
Chandler R E, Herman R and Montroll E W 1958 Oper. Res. 6 165
|
| [12] |
Pipes L A 1953 J. Appl. Phys. 24 274
|
| [13] |
Newell G F 1961 Oper. Res. 9 209
|
| [14] |
Konishi K, Kokame H and Hirata K 2000 Eur. Phys. J. B 15 715
|
| [15] |
Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E 58 5429
|
| [16] |
Zheng W F and Zhang J Y 2015 Chin. Phys. B 24 058902
|
| [17] |
Ge H X, Cheng R J and Dai S Q 2005 Physica A 357 466
|
| [18] |
Wang T, Gao Z Y and Zhao X M 2006 Acta Phys. Sin. 55 634 (in Chinese)
|
| [19] |
Zheng Y Z, Zheng P J and Ge H X 2014 Chin. Phys. B 23 020503
|
| [20] |
Han X L, Jiang C Y, Ge H X and Dai S Q 2007 Acta Phys Sin. 56 4383 (in Chinese)
|
| [21] |
Yu S W and Shi K Z 2015 Measurement 64 34
|
| [22] |
Davis L C 2004 Phys. Rev. E 69 066110
|
| [23] |
Ge J and Orosz G 2014 Transportation Research Part C 46 46
|
| [24] |
Yu S W and Shi Z K 2014 Physica A 407 152
|
| [25] |
Ge H X, Dai S Q, Xue Y and Dong L Y 2005 Phys. Rev. E 71 066119
|
| [26] |
Tang T Q, Huang H J, Zhao S G and Xu G 2009 Int. J. Mod. Phys. B 23 743
|
| [27] |
Peng G H and Sun D H 2010 Phys. Lett. A 374 1694
|
| [28] |
Li Z P, Li W Z, Xu S Z and Qian Y Q 2015 Physica A 419 526
|
| [29] |
Li P and Shrivastava A 2002 Transportation Research Part C 10 275
|
| [30] |
Rajamani R and Shladover S 2001 Transp. Res. Part C 9 15
|
| [31] |
Rajamani R 2012 Adaptive cruise control, in vehicle dynamics and control (Berlin: Springer) pp. 141-170
|
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