Correlations among Various Parameters in Car-Following Models with NGSIM Trajectory Data

Abstract:

Based on NGSIM empirical trajectory data, we focus on verifying the correlations among various parameters in car-following models. The data is preprocessed primarily by symmetric exponential moving average filter. Then, based on SPSS, we explore the preprocessed NGSIM trajectory data by plotting scatter diagram and correlation analysis. The results show that the acceleration of the following vehicle is obviously proportional to the velocity difference and acceleration difference between the following and the preceding (next preceding) vehicle, as well as the product of such velocity difference and the following vehicle’s velocity. Furthermore, we analyze the delay time by using time series correlation formula and modified R/S and V/S statistics methods.

• Periodical: Applied Mechanics and Materials (Volumes 66-68)
• Pages: 179-184
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.66-68.179
• Online since: July 2011
• Authors: Ling Xiao Yang, Xiao Mei Zhao, Jian Feng Zheng
• Keywords: Car-Following Model, Correlation Analysis, NGSIM Empirical Data

References

[1] A. Reuschel: Oestrreichisches Ingenieur-Archir Vol. 4 (1950), p.193.

[2] L.A. Pipes: J. Appl. Phys. Vol. 24 (1953), p.274.

[3] G.F. Newell: Oper. Res. Vol. 9 (1961), p.209.

[4] M. Bando: Phys. Rev. E Vol. 51 (1995), p.1035.

[5] D. Helbing and B. Tilch: Phys. Rev. E Vol. 58 (1998), p.133.

[6] R. Jiang, Q.S. Wu and Z.J. Zhu: Phys. Rev. E Vol. 64 (2001), p.017101.

[7] X.M. Zhao and Z.Y. Gao: Eur. Phys. J. B Vol. 47 (2005), p.145.

[8] NGSIM: Next Generation Simulation: FHWA, U.S. Department of Transportation. (www. ngsim. fhwa. dot. gov).

[9] C.F. Choudhury, M.E. Ben-Akiva, T. Toledo, G. Lee and A. Rao: Presented in the 86th Annual Meeting of the Transportation Research Board, Washington, D.C., (2007).

[10] L. Leclercq, N. Chiabaut, J.A. Laval and C. Buisson: Transp. Res. Rec. Vol. 1999 (2007), p.79.

[11] R.P. Roess and J.M. Ulerio: Presented in the 86th Annual Meeting of the Transportation Research Board, Washington, D.C., (2007).

[12] T. Toledo and D. Zohar: Transp. Res. Rec. Vol. 1999 (2007), p.71.

[13] X.Y. Lu and A. Skabardonis: Presented in the 86th Annual Meeting of the Transportation Research Boar, Washington, D.C., (2007).

[14] C. Thiemann, M. Treiber and A. Kesting: Transp. Res. Rec. Vol. 2088 (2008), p.90.

[15] A.W. Lo: Econometrica Vol. 59 (1991), p.1297.

[16] G. Liudas, K. Piotr, L. Remigijus and T. Gilles: J. Econ. Vol. 112 (2003), p.265.