|
|
A new control method based on the lattice hydrodynamic model considering the double flux difference |
Shunda Qin(秦顺达)1,2,3, Hongxia Ge(葛红霞)1,2,3, Rongjun Cheng(程荣军)1,2,3 |
1 Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China; 2 Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies, Nanjing 210096, China; 3 National Traffic Management Engineering and Technology Research Center Ningbo University Sub-centre, Ningbo 315211, China |
|
|
Abstract A new feedback control method is derived based on the lattice hydrodynamic model in a single lane. A signal based on the double flux difference is designed in the lattice hydrodynamic model to suppress the traffic jam. The stability of the model is analyzed by using the new control method. The advantage of the new model with and without the effect of double flux difference is explored by the numerical simulation. The numerical simulations demonstrate that the traffic jam can be alleviated by the control signal.
|
Received: 04 December 2017
Revised: 28 December 2017
Accepted manuscript online:
|
PACS:
|
05.70.Fh
|
(Phase transitions: general studies)
|
|
05.70.Jk
|
(Critical point phenomena)
|
|
05.90.+m
|
(Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)
|
|
89.40.-a
|
(Transportation)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.11702153,71571107,and 61773290),the Natural Science Foundation of Zhejiang Province,China (Grant No.LY18A010003),and the K.C.Wong Magna Fund in Ningbo University,China. |
Corresponding Authors:
Rongjun Cheng
E-mail: chengrongjun@nbu.edu.cn
|
Cite this article:
Shunda Qin(秦顺达), Hongxia Ge(葛红霞), Rongjun Cheng(程荣军) A new control method based on the lattice hydrodynamic model considering the double flux difference 2018 Chin. Phys. B 27 050503
|
[13] |
Helbing D and Tilch B 1998 Phys. Rev. E 58 133
|
[1] |
Xu Y, Jia L S, Teng W Z and Lu W Z 2015 Commun. Nonlinear Sci. Numer. Simul. 22 285
|
[14] |
Wilson R E and and Ward J A 2011 A Trans. Plan Tech. 34 3
|
[2] |
Jiang R, chen J Y, Ding Z J, Ao D C, et al. 2016 Trans. Res. Part C-Emering Tech. 69 527
|
[15] |
Yu L, Li Tong and Shi Z K 2010 Physica A 389 2607
|
[3] |
Tang T Q, Huang H J and Shang H Y 2017 Physica A 468 322
|
[16] |
Jiang R, Wu Q S and Zhu Z J 2001 Phys. Rev. E 64 017101
|
[4] |
Peng G H, Liu C Q and Tuo M 2015 Physica A 436 952
|
[17] |
Zhou J, Shi Z K and Cao J L 2014 Nonlinear Dyn. 78 1765
|
[5] |
Peng G H 2015 Mod. Phys. Lett. B 29 1550174
|
[18] |
Kerner and Boris S 2016 Physica A 450 700
|
[6] |
Li Z P, Xu X and Xu S Z 2017 Commun. Nonlinear Sci. Numer. Simul. 42 132
|
[19] |
Helbing D, Hennecke A, Shvetsov V and Treiber M 2001 Transp. Res. B 21 183
|
[7] |
Gupta A K and Redhu P 2014 Nonlinear Dyn. 76 1001
|
[20] |
Nagatani T 1996 J. Phys. Soc. Japan 65 3150
|
[8] |
Tang T Q, Huang H J and Wong S C 2009 Chin. Phys. B 18 975
|
[21] |
Bando M, Hasebe K and Nakanishi K 1998 Phys. Rev. E 58 5429
|
[9] |
Tang T Q, He J and Yang S C 2014 Physica A 413 583
|
[22] |
Zeng Y Z Zhang N and Liu L J 2014 Acta. Phys. Sin. 63 068901(in Chinese)
|
[10] |
Li Z P and Liu Y C 2006 Chin. Phys. 15 1570
|
[23] |
Zhao X M and Gao Z Y 2006 Physica A 366 513
|
[11] |
Ge H X, Cheng R J and Li Z P 2008 Physica A 387 5239
|
[24] |
Zhou T, Sun D H and Li H M 2014 Chin. Phys. B 23 050203
|
[12] |
Zaki M, Tarek S and Khaled S 2014 Transport. Res. Rec. 2434 103
|
[25] |
Zhao X M and Xie D F 2013 Phys. lett. A 377 3161
|
[13] |
Helbing D and Tilch B 1998 Phys. Rev. E 58 133
|
[26] |
Konishi K, Kokame H and Hirata K 1999 Phys. Rev. E 60 4000
|
[14] |
Wilson R E and and Ward J A 2011 A Trans. Plan Tech. 34 3
|
[27] |
Nagatani T 1998 Physica A 261 599
|
[15] |
Yu L, Li Tong and Shi Z K 2010 Physica A 389 2607
|
[28] |
Zhu H B and Dai S Q 2008 Physica A 387 4367
|
[16] |
Jiang R, Wu Q S and Zhu Z J 2001 Phys. Rev. E 64 017101
|
[29] |
Ge H X, Cui Y, Zhu K Q and Cheng R J 2015 Commun. Non. Sci. Numer. Simul. 22 903
|
[17] |
Zhou J, Shi Z K and Cao J L 2014 Nonlinear Dyn. 78 1765
|
[30] |
Cheng R J and Han X L and Lo S M 2014 Chin. Phys. B 23 030507
|
[18] |
Kerner and Boris S 2016 Physica A 450 700
|
[31] |
Redhu P and Gupta A K 2015 Commun. Non. Sci. Numer. Simul. 27 263
|
[19] |
Helbing D, Hennecke A, Shvetsov V and Treiber M 2001 Transp. Res. B 21 183
|
[32] |
Li Y, Zhang L, Zheng T, et al. 2015 Commun. Non. Sci. Numer. Simul. 29 224
|
[20] |
Nagatani T 1996 J. Phys. Soc. Japan 65 3150
|
[33] |
Zhu C, Zhong S, Li G, et al. 2017 Physica A 468 445
|
[21] |
Bando M, Hasebe K and Nakanishi K 1998 Phys. Rev. E 58 5429
|
[34] |
Wang T, Gao Z Y and Zhao X M 2012 Chin. Phys. B 21 020512
|
[22] |
Zeng Y Z Zhang N and Liu L J 2014 Acta. Phys. Sin. 63 068901(in Chinese)
|
[23] |
Zhao X M and Gao Z Y 2006 Physica A 366 513
|
[24] |
Zhou T, Sun D H and Li H M 2014 Chin. Phys. B 23 050203
|
[25] |
Zhao X M and Xie D F 2013 Phys. lett. A 377 3161
|
[26] |
Konishi K, Kokame H and Hirata K 1999 Phys. Rev. E 60 4000
|
[27] |
Nagatani T 1998 Physica A 261 599
|
[28] |
Zhu H B and Dai S Q 2008 Physica A 387 4367
|
[29] |
Ge H X, Cui Y, Zhu K Q and Cheng R J 2015 Commun. Non. Sci. Numer. Simul. 22 903
|
[30] |
Cheng R J and Han X L and Lo S M 2014 Chin. Phys. B 23 030507
|
[31] |
Redhu P and Gupta A K 2015 Commun. Non. Sci. Numer. Simul. 27 263
|
[32] |
Li Y, Zhang L, Zheng T, et al. 2015 Commun. Non. Sci. Numer. Simul. 29 224
|
[33] |
Zhu C, Zhong S, Li G, et al. 2017 Physica A 468 445
|
[34] |
Wang T, Gao Z Y and Zhao X M 2012 Chin. Phys. B 21 020512
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|