A new car-following model yielding log-normal type headways distributions

doi:10.1088/1674-1056/19/2/020513

Abstract Modeling time headways between vehicles has attracted increasing interest in the traffic flow research field recently, because the corresponding statistics help to reveal the intrinsic interactions governing the vehicle dynamics. However, most previous micro-simulation models cannot yield the observed log-normal distributed headways. This paper designs a new car-following model inspired by the Galton board to reproduce the observed time-headway distributions as well as the complex traffic phenomena. The consistency between the empirical data and the simulation results indicates that this new car-following model provides a reasonable description of the car-following behaviours.

Keywords: traffic flow car-following log-normal distribution

Received: 01 October 2008
Revised: 08 April 2009
Accepted manuscript online:

PACS:	89.40.Bb	(Land transportation)
	45.70.Vn	(Granular models of complex systems; traffic flow)
	02.50.Ng	(Distribution theory and Monte Carlo studies)

Fund: Project supported partly by the National Basic Research Program of China (Grant No.~2006CB705506), the National Hi-Tech Research and Development Program of China (Grant Nos.~2006AA11Z215 and 2007AA11Z222), and the National Natural Science Foundation of China (Grant Nos.~50708055, 60774034 and 10872194).

Cite this article:

Li Li(李力),Wang Fa(王法), Jiang Rui(姜锐),Hu Jian-Ming(胡坚明), and Ji Yan(吉岩) A new car-following model yielding log-normal type headways distributions 2010 Chin. Phys. B 19 020513

[1]	Helbing D 2001 Rev. Mod. Phys. 7 3 1067
[2]	Kerner B S 2004 The Physics of Traffic (Heidelberg: Springer)
[3]	Krbalek M, Seba P and Wagner P 2001 Phys. Rev. E 64 066119
[4]	Krbalek M and Helbing D 2004 Physica A 33 3 370
[5]	Abul-Magd A Y 2007 Phys. Rev. E 76 057101
[6]	Thiemann C, Treiber M and KestingA 2008 Traffic Flow Theory and Characteristics 2008 90
[7]	Piao J and McDonald M 2003 Proceedings of IEEE IntelligentVehicles Symposium 462
[8]	Zhang G, Wang Y, Wei H and Chen Y 2007 Traffic FlowTheory 2007 141
[9]	Galton F 1889 Natural Inheritance (London: Mac Millan)
[10]	Crow E L and Shimizu K 1988 Log-normal Distributions:Theory and Applications(New York: Markel Dekker, Inc.)
[11]	Limpert E, Stahel W A and Abbt M 2001 Bioscience 51 341
[12]	Gazis D C, Herman R and Potts R B 1959 Operations Research 7 499
[13]	Brackstone M and McDonald M 1999 Transportation Research, PartF, Traffic Psychology and Behaviour 2 181
[14]	Lee H K, Barlovic R,Schreckenberg M and Kim D 2003 Traffic and Granular Flow 0 3253
[15]	Jiang R and Wu Q 2005 Eur. Phys. J. B 46 581
[16]	Gao K, Jiang R, Hu S, Wang B and Wu Q 2007 Phys. Rev. E 76026105
[17]	Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E 51 1035
[18]	Kerner B S, Klenov S L, Hiller A and Rehborn H 2006 Phys. Rev. E 7 3 046107
[19]	Schonhof M and Helbing D 2007 Transp. Sci. 41135
[20]	Maerivoet S and De Moor B 2005 Phys. Rep. 419 1

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A new car-following model yielding log-normal type headways distributions

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