Shock Waves in Highway Traffic: Macroscopic and Microscopic Investigation with Wavelet Transform

Shock Waves in Highway Traffic: Macroscopic and Microscopic Investigation with Wavelet Transform

Shock waves in highway traffic define the boundary conditions between different traffic states. Understanding of formation and propagation of shock waves is helpful for analyzing the features of traffic congestion and its consequences; moreover, for developing novel highway traffic operation techniques and management strategies. Formation and propagation of shock waves were analyzed with wavelet transform technique using two different sets of data, namely macroscopic (mean flow speeds) and microscopic (vehicle trajectories). Estimated propagation speeds of shock waves in this study are consistent with those reported in the literature. Shock wave speeds could be used to calibrate the fundamental diagram of a traffic stream and also to estimate flow speeds (journey times) over a highway stretch.

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  • [1] Şahin, İ., Akyıldız, G., Zorer, A., Gedizlioğlu, E., "Analysis of Long Freeway Queues and Exploring the Strategies for Improvement", Research Project Final Report, granted by the Scientific and Technical Research Council of Turkey (TÜBİTAK), Project No. İÇTAG-I920 and Yıldız Technical University (YTÜ), Proje No. 22-05- 01-0, 2004 (in Turkish).
  • [2] Şahin, İ., Akyıldız, G. "Bosporus Bridge Toll Plaza in Istanbul, Turkey: Upstream and Downstream Traffic Features", Transportation Research Record: Journal of the Transportation Research Board, No. 1910, Transportation Research Board of the National Academies, Washington, D.C., 99-107, 2005.
  • [3] Şahin, İ., "Some Observed Features of Freeway Traffic Oscillations", Transportation Research Record: Journal of the Transportation Research Board, No. 2124, Transportation Research Board of the National Academies, Washington, D.C., 186- 193, 2009.
  • [4] Adeli, H., Karim, A., "Wavelets in Intelligent Transportation Systems", John Wiley & Sons Ltd., 2005.
  • [5] Zheng, Z., Ahn, S., Chen, D., Laval, J., "Applications of Wavelet Transform for Analysis of Freeway Traffic: Bottlenecks, Transient Traffic, and Traffic Oscillations", Transportation Research Part B: Methodological, 45(2), 372-384, 2011.
  • [6] Zheng, Z., Washington, S., "On Selecting an Optimal Wavelet for Detecting Singularities in Traffic and Vehicular Data", Transportation Research Part C, Vol. 25, 18-33, 2012.
  • [7] Taylor, M.A.P., Bonsall, P.W., Young, W., "Understanding Traffic Systems: Data, Analysis and Presentation", second edition, Ashgate Publishing Ltd, 2000.
  • [8] Washington, S.P., Karlaftis, M.G., Mannering, F.L., "Statistical and Econometric Methods for Transportation Data Analysis", Chapman & Hall/CRC Press, 2003.
  • [9] Machiwal, D., Jha, M.K., "Hydrologic Time Series Analysis: Theory and Practice", Copublished by Springer, Capital Publishing Company, India, 2012.
  • [10] Kijewski, T., Kareem, A., "Wavelet Transforms for System Identification in Civil Engineering", Computer-Aided Civil and Infrastructure Engineering, Vol. 18, 339- 355, 2003.
  • [11] Jansen, M., Oonincx, P., "Second Generation Wavelets and Applications", SpringerVerlag London Limited, 2005.
  • [12] Zheng, Z., Ahn, S., Chen, D., Laval, J., "Freeway Traffic Oscillations: Microscopic Analysis of Formations and Propagations Using Wavelet Transform", Transportation Research Part B: Methodological, 45(9), 1378-1388, 2011.
  • [13] Addison, P.S., "The Illustrated Wavelet Transform Handbook - Introductory Theory and Applications in Science, Engineering, Medicine and Finance", IOP Publishing Ltd, 2002.
  • [14] Aydın, F., "Investigating Contra-Flow Lane Operation on the Fatih Sultan Mehmet Bridge by Simulation Modeling", M.Sc. Thesis, Yıldız Technical University, Graduate School of Natural and Applied Sciences, 2008 (in Turkish).
  • [15] NGSIM, 2010, "Next Generation Simulation", http://ngsim-community.org/, Date of access: 28.06.2011.
  • [16] Lu, X.-Y., Skabardonis, A., "Freeway Traffic Shockwave Analysis: Exploring the NGSIM Trajectory Data", TRB Annual Meeting, Paper #07-3016, January 2007.
  • [17] Newell, G.F., "A Simplified Theory of Kinematic Waves in Highway Traffic I: General Theory, II: Queuing at Freeway Bottlenecks, III: Multi-destination flows", Transportation Research, 27B, 281-313, 1993.
  • [18] Cassidy, M.J., "Traffic Flow and Capacity", In Handbook of Transportation Science (Ed. R.W. Hall), Kluwer Academic Publishers, 151-186, 1999.