A new car-following model with driver's anticipation effect of traffic interruption probability

doi:10.1088/1674-1056/ab9293

Abstract Traffic interruption phenomena frequently occur with the number of vehicles increasing. To investigate the effect of the traffic interruption probability on traffic flow, a new optimal velocity model is constructed by considering the driver anticipation term in the interruption case for car-following theory. Furthermore, the effect of driver anticipation in the interruption case is investigated via linear stability analysis. Also, the MKdV equation is obtained concerning the effect of driver anticipation in the interruption case. Moreover, numerical simulation states that the driver anticipation term in the interruption case contributes to the stability of traffic flow.

Keywords: traffic flow interruption probability optimal velocity model numerical simulation

Received: 05 April 2020
Revised: 30 April 2020
Accepted manuscript online:

PACS:	45.70.Vn	(Granular models of complex systems; traffic flow)
	05.70.Fh	(Phase transitions: general studies)
	05.70.Jk	(Critical point phenomena)
	89.40.-a	(Transportation)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61963008 and 61673168), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2018GXNSFAA281274), the Doctor Scientific Research Startup Project Foundation of Guangxi Normal University, China (Grant No. 2018BQ007), and the Innovation-Driven Development Special Fund Project of Guangxi Zhuang Autonomous Region, China (Grant No. GUIKEAA19254034).

Corresponding Authors: Guang-Han Peng
E-mail: pengguanghan@163.com

Cite this article:

Guang-Han Peng(彭光含) A new car-following model with driver's anticipation effect of traffic interruption probability 2020 Chin. Phys. B 29 084501

[1]	Wong S C, Leung B S Y, Loo B P Y, Hung W T and Lo H K 2004 Accid. Anal. Prev. 36 281
[2]	Wong S C, Sze N N and Li Y C 2007 Accid. Anal. Prev. 39 1107
[3]	Sze N N and Wong S C 2007 Accid. Anal. Prev. 39 1267
[4]	Telesca L and Lovallo M 2008 Physica A 387 3299
[5]	BaykalG ürsoy M, Xiao W and Ozbay K 2009 Eur. J. Oper. Res. 195 127
[6]	Tang T Q, Huang H J and Xu G 2008 Physica A 387 6845
[7]	Tian C and Sun D H 2010 Chin. Phys. B 19 120501
[8]	Tang T Q, Huang H J, Wong S C and Jiang R 2009 Chin. Phys. B 18 0975
[9]	Newell G F 1961 Oper. Res. 9 209
[10]	Bando M, Hasebe K, Nakyaama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E 51 1035
[11]	Hayakawa H and Nakanishi K 1998 Prog. Theor. Phys. Suppl. 130 57
[12]	Nagatani T 1999 Phys. Rev. E 60 6395
[13]	Nagatani T 2002 Rep. Progr. Phys. 65 1331
[14]	Lenz H and Wagner C K 1999 Eur. Phys. J. B 7 331
[15]	Hasebe K, Nakayama A and Sugiyama Y 2003 Phys. Rev. E 68 026102
[16]	Sawada S 2002 Int. J. Mod. Phys. C 13 1
[17]	Wagner C K 1998 Physica A 260 218
[18]	Helbing D, Tilch B 1998 Phys. Rev. E 58 133
[19]	Jiang R, Wu Q S and Zhu Z J 2001 Phys. Rev. E 64 017101
[20]	Ge H X, Dai S Q, Dong L Y and Xue Y 2004 Phys. Rev. E 70 066134
[21]	Ge H X, Dai S Q, Xue Y and Dong L Y 2005 Phys. Rev. E 71 066119
[22]	Cheng R J, Ge H X and Wang J F 2017 Phys. Lett. A 381 1302
[23]	Song H, Ge H X, Chen F Z and Cheng R J 2017 Nonlinear Dyn. 87 1809
[24]	Zhao X M and Gao Z Y 2005 Eur. Phys. J. B 47 145
[25]	Sawada S 2006 Int. J. Mod. Phys. C 17 65
[26]	Tang T Q, Yi Z Y, Zhang J, Wang T and Leng J Q 2018 Physica A 496 399
[27]	Ou H and Tang T Q 2018 Physica A 495 260
[28]	Tang T Q, Wang T, Chen L and Huang H J 2018 Physica A 490 451
[29]	Zhu W X and Zhang H M 2018 Physica A 496 274
[30]	Zhu W X and Zhang L D 2018 Physica A 492 2154
[31]	Zhu W X and Yu R L 2012 Commun. Theor. Phys. 57 301
[32]	Meng X P, Li Z P and Ge H X 2014 Commun. Theor. Phys. 61 636
[33]	Li Z P, Li W Z, Xu S Z and Qian Y Q 2015 Nonlinear Dyn. 80 529
[34]	Li Z P, Zhang R, Xu S Z and Qian Y Q 2015 Commun. Nonlinear Sci. Numer. Simul. 24 52
[35]	Ngoduy D 2013 Commun. Nonlinear Sci. Numer. Simul. 18 2699
[36]	Ngoduy D 2014 Nonlinear Dyn. 77 289
[37]	Ngoduy D 2009 Phys. Scr. 80 025802
[38]	Ngoduy D 2014 Comput. Aided Civ. Inf. Eng. 29 248
[39]	Redhu P and Gupta A K 2014 Nonlinear Dyn. 78 957
[40]	Gupta A K and Redhu P 2014 Nonlinear Dyn. 76 1001
[41]	Redhu P and Gupta A K 2015 Physica A 421 249
[42]	Gupta A K and Redhu P 2013 Phys. Lett. A 377 2027
[43]	Redhu P and Gupta A K 2016 Physica A 445 150
[44]	Gupta A K and Redhu P 2013 Physica A 392 5622
[45]	Sharma S 2015 Physica A 421 401
[46]	Sharma S 2015 Nonlinear Dyn. 81 991
[47]	Gupta A K and Redhu P 2014 Commun. Nonlinear Sci. Numer. Simul. 19 1600
[48]	Zhang G, Sun D H, Liu H and Chen D 2017 Physica A 486 806
[49]	Yu S W, Fu R, GuoY S, Xin Q and Shi Z K 2019 Physica A 531 121789

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A new car-following model with driver's anticipation effect of traffic interruption probability

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