Freeway traffic oscillations: Microscopic analysis of formations and propagations using Wavelet Transform

Procedia - Social and Behavioral Sciences

Volumn 17, Issue , 2011, Pages 702-716

  Zheng, Zuduo ^a   Ahn, Soyoung ^a   Chen, Danjue ^b   Laval, Jorge ^b  

^a ARIZONA STATE UNIVERSITY   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Car following behavior; Lane changing maneuver; Stop and go traffic; Traffic oscillations; Wavelet Transform

Indexed keywords

EID: 79960084417     PISSN: 18770428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1016/j.sbspro.2011.04.540     Document Type: Conference Paper

References (33)

1. Addison, P.S. (2002). The illustrated wavelet transform handbook: Introductory theory and applications in science, engineering, medicine and finance, Taylor & Francis.
2. Th International Symposium on Transportation and Traffic Theory, Amsterdam, Elsevier, 691-710.
3. Ahn, S., Laval, J.A., & Cassidy, M.J. (2010). Merging and diverging effects on freeway traffic oscillations: theory and observations. Transportation Research Record, Journal of the Transportation Research Board, 2188, 1-8.
4. Ahn, S. (2005). Formation and spatial evolution of traffic oscillations. Doctoral Dissertation, Department of Civil and Environment Engineering, University of California, Berkeley.
5. Ahn, S., Cassidy, M.J., & Laval, J.A. (2004). Verification of simplified car-following theory. Transportation Research Part B, 38(5), 431-440.
6. Del Castillo, J.M. (2001). Propagation of perturbations in dense traffic flow: A model and its implications. Transportation Research Part B, 35(4), 367-389. (Pubitemid 32160517)
7. Donoho, D.L. (1993). Unconditional bases are optimal bases for data compression and for statistical estimation. Applied and Computational Harmonic Analysis 1(1), 100-115.
8. rdInternational Symposium on the Theory of Traffic Flow, New York, 26-37.
9. FHWA. The next generation simulation (NGSIM). 〈http://www.ngsim. fhwa.dot.gov/〉 (05/08, 2008).
10. Fugal, D. (2009). Conceptual wavelets in digital signal processing: an in-depth, practical approach for the nonmathematician. Space and Signals Technical Publishing.
11. Herman, R., Montroll, E.W., Potts, R.B., & Rothery, R.W. (1959). Traffic dynamics: analysis of stability in car following. Operations Research, 7, 86-106.
12. Kerner, B., & Rehborn, H. (1996). Experimental features and characteristics of traffic jams. Physical Review E, 53(2), 1297-1300.
13. Kim, T., & Zhang, H. (2008). A stochastic wave propagation model. Transportation Research Part B, 42(7-8), 619-634.
14. Laval, J.A., & Leclercq, L. (2010). A mechanism to describe the formation and propagation of stop-and-go waves in congested freeway traffic. Philosophical Transactions of The Royal Society A: Mathematical Physical and Engineering Sciences, 368, 4519-4541.
15. Li, X., Peng, F., & Ouyang, Y. (2010). Measurement and estimation of traffic oscillation properties. Transportation Research Part B, 44(1), 1-14.
16. Lighthill, M., & Whitham, G. (1955). On kinematic waves: II. A theory of traffic flow on long crowded roads. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 229(1178), 317-345.
17. Lu, X. & Skabardonis, A. (2007). Freeway traffic shockwave analysis: Exploring the NGSIM trajectory data, Proceedings of the 86th TRB Annual Meeting, Washington D.C., January 2007, TRB Paper #07-3016, CDROM.
18. Ma, T., & Ahn, S. (2008). Comparisons of speed-spacing relations under general car following versus lane changing. Transportation Research Record, Journal of the Transportation Research Board, 2088, 138-147.
19. Mallat, S.G. (2009). A wavelet tour of signal processing (Third edition): The sparse way. Academic Press.
20. Mauch, M., & Cassidy, M.J. (2002). Freeway traffic oscillations: Observations and predictions. Proceedings of the 15th International Symposium on Transportation and Traffic Theory, Pergamon-Elsevier, Oxford, UK, 653-674.
21. Newell, G.F. (1993). A simplified theory of kinematic waves in highway traffic, part I: General theory. Transportation Research Part B, 27(4), 281-287.
22. Newell, G.F. (2002). A simplified car following theory: A lower order model. Transportation Research Part B, 36(3), 195-205. (Pubitemid 34045951)
23. Orosz, G., Wilson, R.E., Szalai, R., & Stépán, G. (2009). Exciting traffic jams: Nonlinear phenomena behind traffic jam formation on highways. Physical Review E, 80(4): 046205.
24. Richards, P.I. (1956). Shock waves on the highway. Operations Research, 4(1), 42-51.
25. Schoenhof, M., & Helbing, D. (2007). Empirical features of congested traffic states and their implications for traffic modeling. Transportation Science, 41(2), 135-166.
26. Smilowitz, K., Daganzo, C.F., Cassidy, M.J., & Bertini, R.L. (1999). Some observations of highway traffic in long queues, Transportation Research Record, 1678, 225-233. (Pubitemid 30552728)
27. Sugiyama, Y., Nakayama, A., Fukui, M., Hasebe, K., Kikuchi, M., Nishinari, K., Tadaki, S. & Yukawa, S. (2003). Observation, theory and experiment for freeway traffic as physics of many-body system, In M. Schreckenberg P. Bovy, S. Hoogendoorn and D.E. Wolf, editors, Traffic and granular flow '03, 45-59
28. Thiemann, C., Treiber, M., & Kesting, A. (2008). Estimating acceleration and lane-changing dynamics based on NGSIM trajectory data. Transportation Research Record: Journal of the Transportation Research Board, 2088, 90-101.
29. Wilson, R.E. (2008). Mechanisms for spatio-temporal pattern formation in highway traffic models. Philosophical Transactions of The Royal Society A: Mathematical Physical and Engineering Sciences, 366(1872), 2017-2032. (Pubitemid 351585443)
30. Yeo, H., & Skabardonis, A. (2009). Understanding stop-and-go traffic in view of asymmetric traffic theory. Proceedings of the 18th International Symposium on Transportation and Traffic Theory. Hong Kong, Springer, 99-116.
31. Zheng, Z., Ahn, S. & Monsere, C.M. (2010). Impact of traffic oscillations on freeway crash occurrences. Accident Analysis and Prevention, 42(2), 626-636.
32. Zheng, Z., Ahn, S., Chen, D., & Laval, J.A., (2011a). Applications of wavelet transform for analysis of freeway traffic: Bottlenecks, transient traffic, and traffic oscillations, Transportation Research Part B, 45(2), 372-384.
33. Zheng, Z., Ahn, S., Chen, D., & Laval, J.A., (2011b). The impact of lane-changing on the immediate follower: Anticipation, relaxation, and behavioral change, Submitted.