Empirical study of traffic velocity distribution and its effect on VANETs connectivity

In this article we use real traffic data to confirm that vehicle velocities follow Gaussian distribution in steady state traffic regimes (free-flow, and congestion). We also show that in the transition between free-flow and congestion, the velocity distribution is better modeled by generalized extreme value distribution (GEV). We study the effect of the different models on estimating the probability distribution of connectivity duration between vehicles in vehicular ad-hoc networks.

[1]  Heng Wei,et al.  Examining Headway Distribution Models with Urban Freeway Loop Event Data , 2007 .

[2]  Milan Krb.  Equilibrium distributions in a thermodynamical traffic gas , 2007 .

[3]  William J. Phillips,et al.  Assignment of dynamic transmission range based on estimation of vehicle density , 2005, VANET '05.

[4]  Dirk Helbing,et al.  Determination of Interaction Potentials in Freeway Traffic From Steady-State Statistics , 2003, cond-mat/0301484.

[5]  Paczuski,et al.  Emergent traffic jams. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  E. J. Gumbel,et al.  Statistics of Extremes. , 1960 .

[7]  Milan Krbálek,et al.  Lattice thermodynamic model for vehicular congestions , 2011 .

[8]  Lin Cheng,et al.  Effects of intervehicle spacing distributions on connectivity of VANET: a case study from measured highway traffic , 2012, IEEE Communications Magazine.

[9]  B. Kerner.  The Physics of Traffic: Empirical Freeway Pattern Features, Engineering Applications, and Theory , 2004 .

[10]  Robert Nagel,et al.  The effect of vehicular distance distributions and mobility on VANET communications , 2010, 2010 IEEE Intelligent Vehicles Symposium.

[11]  Adolf D May,et al.  Loop Detector Data Collection and Travel Time Measurement in the Berkeley Highway Laboratory , 2003 .

[12]  Milan Krbalek,et al.  Theoretical predictions for vehicular headways and their clusters , 2012, 1207.6579.

[13]  Edward Chi-Fai Lo.  The Sum and Difference of Two Lognormal Random Variables , 2013, J. Appl. Math..

[14]  Michael Schreckenberg,et al.  A cellular automaton model for freeway traffic , 1992 .

[15]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[16]  K. Nagel.  LIFE TIMES OF SIMULATED TRAFFIC JAMS , 1993, cond-mat/9310018.