Abstract: The realization of road traffic prediction not only provides real-time and effective information for travelers, but also helps them select the optimal route to reduce travel time. Road traffic prediction offers traffic guidance for travelers and relieves traffic jams. In this paper, a real-time road traffic state prediction based on autoregressive integrated moving average (ARIMA) and the kalman filter is proposed. First, an ARIMA model of road traffic data in a time series is built on the basis of historical road traffic data. Second, this ARIMA model is combined with the kalman filter to construct a road traffic state prediction algorithm, which can acquire the state, measurement, and updating equations of the kalman filter. Third, the optimal parameters of the algorithm are discussed on the basis of historical road traffic data. Finally, four road segments in Beijing are adopted for case studies. Experimental results show that the real-time road traffic state prediction based on ARIMA and the kalman filter is feasible and can achieve high accuracy.

基于ARIMA和Kalman滤波的道路交通状态实时预测

[1]Brockwell, P.J., Davis, R.A., 2006. ARMA models. In: Casella, G., Fienberg, S., Olkin, I. (Eds.), Introduction to Time Series and Forecasting. Springer Science & Business Media, Berlin, Germany, p.83-100.

[2]Chang, T.H., Chueh, C.H., Yang, L.K., 2011. Dynamic traffic prediction for insufficient data roadways via automatic control theories. Contr. Eng. Pract., 19(12):1479-1489.

[3]Chen, B.K., Xie, Y.B., Tong, W., et al., 2012. A comprehensive study of advanced information feedbacks in real-time intelligent traffic systems. Phys. A, 91(8):2730-2739.

[4]Chen, C.Y., Hu, J.M., Meng, Q., et al., 2011. Short-time traffic flow prediction with ARIMA-GARCH model. IEEE Intelligent Vehicles Symp., p.607-612.

[5]Diebold, F.X., Mariano, R.S., 1995. Comparing predictive accuracy. J. Bus. Econ. Stat., 13(3):134-144.

[6]Dong, C.F., Ma, X., Wang, G.W., et al., 2009. Prediction feedback in intelligent traffic systems. Phys., 388(21):4651-4657.

[7]Dong, C.F., Ma, X., Wang, B.H., 2010. Weighted congestion coefficient feedback in intelligent transportation systems. Phys. Lett. A, 374(11):1326-1331.

[8]Durbin, J., Koopman, S.J., 2012. Time Series Analysis by State Space Methods. Oxford University Press, London, UK.

[9]Guo, J.H., Huang, W., Williams, B.M., 2014. Adaptive Kalman filter approach for stochastic short-term traffic flow rate prediction and uncertainty quantification. Transp. Res. Part C, 43:50-64.

[10]Hoong, P.K., Tan, I.K.T., Chien, O.K., et al., 2012. Road traffic prediction using Bayesian networks. IET Int. Conf. on Wireless Communications and Applications, p.1-5.

[11]Kirchgässner, G., Wolters, J., Hassler, U., 2012. Introduction to Modern Time Series Analysis. Springer Science & Business Media, Berlin, Germany.

[12]Kumar, K., Parida, M., Katiyar, V.K., 2013. Short term traffic flow prediction for a non urban highway using artificial neural network. Proc.-Soc. Behav. Sci., 104:755-764.

[13]Lin, L., Li, Y., Sadek, A., 2013. A k nearest neighbor based local linear wavelet neural network model for online short-term traffic volume prediction. Proc.-Soc. Behav. Sci., 96:2066-2077.

[14]Liu, H., Tian, H.Q., Li, Y.F., 2012. Comparison of two new ARIMA-ANN and ARIMA-Kalman hybrid methods for wind speed prediction. Appl. Energy, 98:415-424.

[15]Liu, J.Y., Wang, W.D., Gong, X.Y., et al., 2012. A hybrid model based on Kalman filter and neutral network for traffic prediction. IEEE 2nd Int. Conf. on Cloud Computing and Intelligent Systems, p.533-536.

[16]Liu, X.L., Jia, P., Wu, S.H., et al., 2011. Short-term traffic flow forecasting based on multi-dimensional parameters. J. Transp. Syst. Eng. Inform. Technol., 11(4):140-146 (in Chinese).

[17]Lv, L., Chen, M., Liu, Y., et al., 2015. A plane moving average algorithm for short-term traffic flow prediction. In: Cau, T., Lim, E.P., Zhou, Z.H., et al. (Eds.), Advances in Knowledge Discovery and Data Mining. Springer Int. Publishing, Cham, Switzerland, p.357-369.

[18]Ma, T., Zhou, Z., Abdulhai, B., 2015. Nonlinear multivariate time–space threshold vector error correction model for short term traffic state prediction. Transp. Res. Part B, 76:27-47.

[19]Ma, X.L., Tao, Z.M., Wang, Y.H., et al., 2015. Long short-term memory neural network for traffic speed prediction using remote microwave sensor data. Transp. Res. Part C, 54:187-197.

[20]Min, W., Wynter, L., 2011. Real-time road traffic prediction with spatio-temporal correlations. Transp. Res. Part C, 19 (4):606-616.

[21]Moretti, F., Pizzuti, S., Panzieri, S., et al., 2015. Urban traffic flow forecasting through statistical and neural network bagging ensemble hybrid modeling. Neurocomputing, 167:3-7.

[22]Ojeda, L.L., Kibangou, A.Y., de Wit, C.C., 2013. Adaptive Kalman filtering for multi-step ahead traffic flow prediction. IEEE American Control Conf., p.4724-4729.

[23]Pan, T.L., Sumalee, A., Zhong, R.X., et al., 2013. Short-term traffic state prediction based on temporal–spatial correlation. IEEE Trans. Intell. Transp. Syst., 14(3):1242-1254.

[24]Park, J., Li, D., Murphey, Y.L., et al., 2011. Real time vehicle speed prediction using a neural network traffic model. IEEE Int. Joint Conf. on. Neural Networks, p.2991-2996.

[25]Qi, Y., Ishak, S., 2014. A hidden Markov model for short term prediction of traffic conditions on freeways. Transp. Res. Part C, 43:95-111.

[26]Smith, B.L., Williams, B.M., Oswald, R.K., 2002. Comparison of parametric and nonparametric models for traffic flow forecasting. Transp. Res. Part C, 10(4):303-321.

[27]Sommer, M., Tomforde, S., Haehner, J., 2015. A systematic study on forecasting of traffic flows with artificial neural networks. Proc. 28th Int. Conf. on. Architecture of Computing Systems, p.1-8.

[28]Vlahogianni, E.I., Karlaftis, M.G., Golias, J.C., 2005. Optimized and meta-optimized neural networks for short-term traffic flow prediction: a genetic approach. Transp. Res. Part C, 13(3):211-234.

[29]Wang, J., Shi, Q.X., 2013. Short-term traffic speed forecasting hybrid model based on chaos–wavelet analysis-support vector machine theory. Transp. Res. Part C, 27:219-232.

[30]Zhang, L., Ma, J., Sun, J., 2012. Examples of validating an adaptive Kalman filter model for short-term traffic flow prediction. 12th Int. Conf. of Transportation Professionals, p.912-922.

[31]Zhang, L., Liu, Q.C., Yang, W.C., et al., 2013. An improved k-nearest neighbor model for short-term traffic flow prediction. Proc.-Soc. Behav. Sci., 96:653-662.