A macroscopic traffic model based on weather conditions

doi:10.1088/1674-1056/27/7/070202

Abstract A traffic model based on the road surface conditions during adverse weather is presented. The surface of a road is affected by snow, compacted snow, and ice, which affects the traffic behavior. In this paper, a new macroscopic traffic flow model based on the transition velocity distribution is proposed which characterizes traffic alignment under adverse weather conditions. Two examples are considered to illustrate the effect of the transition velocity behavior on traffic velocity and density. Simulation results are presented which show that this model provides a more accurate characterization of traffic flow behavior than the well known Payne-Whitham model. The proposed model can be used to reduce accidents and improve road safety during adverse weather conditions.

Keywords: macroscopic traffic flow anticipation Payne-Witham (PW) model adverse weather

Received: 20 November 2017
Revised: 04 April 2018
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	02.60.Cb	(Numerical simulation; solution of equations)

Fund: Project supported by Higher Education Commission, Pakistan/National Center of Big Data and Cloud Computing.

Corresponding Authors: Zawar H. Khan
E-mail: zawarkhan@nwfpuet.edu.pk

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Zawar H. Khan, Syed Abid Ali Shah, T. Aaron Gulliver A macroscopic traffic model based on weather conditions 2018 Chin. Phys. B 27 070202

[1]	Khan Z H 2016 Traffic Flow Modelling for Intelligent Transportation Systems (Ph.D. Dissertation) (Canada:University of Victoria)
[2]	Khan Z H and Gulliver T A 2018 European Transport Research Review 10 30
[3]	Elevant K 2013 Intelligent Transportation Systems 7 415
[4]	Hassan H M and Abdel-Aty M A 2011 Transportation Research F 14 614
[5]	Pisano P A and Goodwin L C 2004 J. Transportation Research Board 1867 127
[6]	Theofilatos A and Yannis G 2014 Accident Analysis and Prevention 72 244
[7]	Lee W K, Lee H A, Hwang S S, Kim H, Lim Y H, Hong Y C, Eh H and Park H 2015 J. Epidemiology 25 544
[8]	Goodwin L C 2002 Proceedings of Road Weather Management VA, USA
[9]	Qiu L and Nixon W A 2008 Transportation Research Record 2055 139
[10]	Weng J, Liu L and Rong J 2012 Discrete Dynamics in Nature and Society 2013 1
[11]	McBride J C 1997 Economic Impact of Highway Snow and Ice Control. Federal Highway Administration Washington, D.C.
[12]	Ibrahim A T and Hall F L 1994 Transportation Research Record 1457 184
[13]	Maki P J 1999 Proceedings of 69th Annual Meeting of the Institute of Transportation Engineers August 1-4, 1999, Las Vegas, Nev., USA
[14]	Lighthill M J and Whitham J B 1955 Proceedings of Royal Society A 229 317
[15]	Richards P I 1956 Operations Research 4 42
[16]	Zhang H 1998 Transportation Research Board 32 485
[17]	Payne H J 1971 Simulation Council Proceedings 1 51
[18]	Jin W L and Zhang H M 2003 Transportation Research B 37 207
[19]	Chen J, Peng Z and Fang Y 2015 Mod. Phys. C 29 1550017
[20]	Gupta A K, Sharma S and Redhu P 2014 Commun. Theor. Phys. 62 393
[21]	Hong H, Wei L, Yu X and Li D 2009 Chin. Phys. B 18 2703
[22]	Kaur R and Sharma S 2018 Physica A 499 110
[23]	Meng X P and Yan L Y 2017 Asian J. Control 19 1844
[24]	Zhu W X and Yu R L 2014 Physica 393 101
[25]	http://www.zjemw.com/safeDriving/ShowSafeDriving.asp?
[26]	Xing L, Tao S, Hua K and Shi D 2008 Chin. Phys. B 17 3014
[27]	Chen J, Shi Z, Hu Y, Yu L and Fang Y 2013 Int. J. Modern Phys. C 24 1350061
[28]	Morgan J V 2002 Numerical Methods for Macroscopic Traffic Models (Ph.D. Dissertation) (UK:University of Reading, Berkshire)
[29]	Greenshield B D 1935 Proceedings of Highway Research Board 14 448
[30]	Muralidharan A 2012 Tools for Modeling and Control of Freeway Networks (Ph.D. Dissertation) (Berkeley:University of California Berkeley)
[31]	Strong C k, Ye Z and Shi X 2009 Transportation Review 30 677
[32]	Kurganov A, Noelle S and Petrova G 2001 Siam J. Sci. Comput. 23 707
[33]	Chen J Z, Shi Z K and Hu Y M 2009 J. Zhejiang University-Science A 10 1835
[34]	Chen J Z, Shi Z K and Hu Y M 2012 J. Zhejiang University-Science C 13 29
[35]	Guang J and Chi S 1996 J. Comput. Phys. 126 202
[36]	Kachroo P, Al-Nasur S J, Wadoo S A and Shende A 2008 Pedestrian Dynamics:Feedback Control of Crowd Evacaution (Berlin Heidelberg:Springer-Verlag Berlin Heidelberg) p. 66
[37]	Roe P L 1981 J. Comput. Phys. 43 357
[38]	Harten A and Hayman J M 1983 J. Comput. Phys. 50 253
[39]	Risto M and Martens M H 2013 Transportation Research F 15 45
[40]	Basak K, Hetu S N, Li Z, Azevedo C L, Loganathan H, Toledo T, Xu R, Xu Y, Peh L S, and Ben-Akiva M 2013 Proceedings of 16th International IEEE Conference on intelligent Transportation Systems October 6-9, 2013 The Hague, The Netherlands, p. 302
[41]	LeVeque R J 1992 Numerical Methods for Conservation Laws (2nd Edn.) (Basel:ETH Zürich, Birkhäuser Verlag) pp. 149-156
[42]	Wenlog J 2000 Traffic Flow Models and Their Numerical Solutions (Masters thesis) (Davis:University of California Davis)
[43]	Wenlog J and Zhang H M 2001 Technical Report (Davis:University of California Davis)

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