Real-time lagrangian traffic state estimator for freeways

IEEE Transactions on Intelligent Transportation Systems

Volumn 13, Issue 1, 2012, Pages 59-70

  Yuan, Yufei ^a   Van Lint, J W C ^a   Wilson, R Eddie ^b   Van Wageningen Kessels, Femke ^a   Hoogendoorn, Serge P ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Data processing; Lagrangian formulation; traffic management; traffic state estimation

Indexed keywords

CENTRAL COMPONENT; EULERIAN; EULERIAN APPROACH; FREEWAY TRAFFIC STATE ESTIMATION; FUNDAMENTAL DIAGRAM; LAGRANGIAN; LAGRANGIAN FORMULATION; LOOP DETECTOR; LWR MODEL; MACROSCOPIC TRAFFIC FLOW MODEL; MODEL PREDICTION; OBSERVATION EQUATION; OBSERVATION MODEL; PROCESS EQUATION; REAL TIME TRAFFICS; SECOND ORDERS; SENSOR DATA; STATE ESTIMATORS; STATE VARIABLES; SYSTEM STATE; TRAFFIC DATA; TRAFFIC MANAGEMENT; TRAFFIC STATE; TRAFFIC STATE ESTIMATION; VEHICLE TRAJECTORIES;

ADVANCED TRAFFIC MANAGEMENT SYSTEMS; DATA PROCESSING; HIGHWAY TRAFFIC CONTROL; INTELLIGENT SYSTEMS; SENSORS; STATE ESTIMATION;

LAGRANGE MULTIPLIERS;

EID: 84863413335     PISSN: 15249050     EISSN: None     Source Type: Journal    
DOI: 10.1109/TITS.2011.2178837     Document Type: Article

References (42)

1. A. Hegyi, D. Girimonte, R. Babuska, and B. De Schutter, "A comparison of filter configurations for freeway traffic state estimation," in Proc. IEEE ITSC, Toronto, ON, Canada, 2006, pp. 1029-1034. (Pubitemid 351492306)
2. L. Mihaylova, R. Boel, and A. Hegyi, "Freeway traffic estimation within recursive Bayesian framework," Automatica, vol. 43, no. 2, pp. 290-300, 2007. (Pubitemid 46037591)
3. C. Nanthawichit, T. Nakatsuji, and H. Suzuki, "Application of probevehicle data for real-time traffic-state estimation and short-term traveltime prediction on a freeway," Transp. Res. Rec., vol. 1855, pp. 49-59, 2003.
4. Y. Wang and M. Papageorgiou, "Real-time freeway traffic state estimation based on extended Kalman filter: A general approach," Transp. Res. Part B, Methodological, vol. 39, no. 2, pp. 141-167, Feb. 2005. (Pubitemid 40032216)
5. D. Ngoduy, "Applicable filtering framework for online multiclass freeway network estimation," Phys. A, Statist. Mech. Appl., vol. 387, no. 2/3, pp. 599-616, Jan. 2008. (Pubitemid 350166141)
6. J. W. C. Van Lint, S. P. Hoogendoorn, and M. Schreuder, "Fastlane-A new multiclass first-order traffic model," Transp. Res. Rec., J. Transp. Res. Board, vol. 2088, no. 1, pp. 177-187, 2008.
7. C. F. Daganzo, "The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory," Transp. Res. Part B, Methodological, vol. 28, no. 4, pp. 269-287, 1994.
8. M. Lighthill and G.Whitham, "On kinematic waves II: A theory of traffic flow on long crowded roads," Proc. R. Soc. Lond. A, Math. Phys. Sci., vol. 229A, no. 1178, pp. 317-345, May 1955.
9. G. Newell, "A simplified theory of kinematic waves in highway traffic, Part I: General theory," Transp. Res. Part B, Methodological, vol. 27, no. 4, pp. 281-287, 1993.
10. P. I. Richards, "Shock waves on the highway," Oper. Res., vol. 4, no. 1, pp. 42-51, Feb. 1956.
11. J. C. Herrera and A. M. Bayen, "Incorporation of Lagrangian measurements in freeway traffic state estimation," Transp. Res. Part B, Methodological, vol. 44, no. 4, pp. 460-481, 2010.
12. C. Tampère and B. Immers, "An extended Kalman filter application for traffic state estimation using CTM with implicit mode switching and dynamic parameters," in Proc. IEEE Intell. Transp. Syst. Conf., Seattle, WA, 2007, pp. 209-216.
13. C. P. I. Van Hinsbergen, F. S. Zuurbier, J. W. C. Van Lint, and H. J. Van Zuylen, "Using an LWR model with a cell based Kalman filter to estimate travel times," in Proc. Symp. 3rd ISTS-Conf., Melbourne, Australia, 2008, pp. 1-14.
14. R. Pueboobpaphan, T. Nakatsuji, and H. Suzuki, "Unscented Kalman filter-based real-time traffic state estimation," in Proc. 86th Transp. Res. Board Annu. Meeting, Washington, DC, 2007, pp. 1-19.
15. B. S. Kerner, Introduction to Modern Traffic Flow Theory and Control. Berlin, Germany: Springer-Verlag, 2009.
16. D. Helbing, "Traffic and related self-driven many-particle systems," Rev. Mod. Phys., vol. 73, no. 4, pp. 1067-1141, Dec. 2001. (Pubitemid 33395907)
17. J. P. Lebacque, "The Gudunov scheme and what it means for first order traffic flow models," in Proc. 13th Int. Symp. Transp. Traffic Theory, Lyon, France, 1996, pp. 647-677.
18. R. Courant, K. Friedrichs, and H. Levy, "On the partial difference equations of mathematical physics," IBM J. Res. Develop., vol. 11, no. 2, pp. 215-234, Mar. 1967.
19. J. W. C. Van Lint, S. P. Hoogendoorn, and A. Hegyi, "Dual EKF state and parameter estimation in multi-class first-order traffic flow models," in Proc. 17th IFAC World Congr., Seoul, Korea, 2008, pp. 14 078-14 083.
20. B. Ristic, S. Arulampalam, and N. Gordon, Beyond the Kalman Filter: Particle Filters for Tracking Applications. Boston, MA: Artech House, 2004.
21. R. E. Kalman, "A new approach to linear filtering and prediction problems," J. Basic Eng., vol. 82, no. 1, pp. 35-45, 1960.
22. M. Treiber and D. Helbing, "Reconstructing the spatio-temporal traffic dynamics from stationary detector data," Coop. Transp. Dyn., vol. 1, pp. 3.1-3.24, 2002.
23. J. W. C. Van Lint and S. P. Hoogendoorn, "A robust and efficient method for fusing heterogeneous data from traffic sensors on freeways," Comput.-Aided Civil Infrastruct. Eng., vol. 25, no. 8, pp. 596-612, Nov. 2009.
24. L. Leclercq, J. Laval, and E. Chevallier, "The Lagrangian coordinates and what it means for first order traffic flow models," in Proc. 17th Int. Symp. Transp. Traffic Theory, London, U.K., 2007, pp. 735-753.
25. F. Van Wageningen-Kessels, J. W. C. Van Lint, S. P. Hoogendoorn, and C. Vuik, "Lagrangian formulation of multi-class kinematic wave model," Transp. Res. Rec., J. Transp. Res. Board, vol. 2188, no. 1, pp. 29-36, 2010.
26. F. Van Wageningen-Kessels, J. W. C. Van Lint, S. P. Hoogendoorn, and C. Vuik, "Multiple user classes in the kinematic wave model in Lagrangian coordinates," in Proc. Traffic Granular Flow, Shanghai, China, 2009, pp. 1-7.
27. S. A. Smulders, "Control of freeway traffic flow," Ph.D. dissertation, Univ. Twente, Enschede, The Netherlands, 1989.
28. M. Bando, K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama, "Dynamical model of traffic congestion and numerical simulation," Phys. Rev. E, Stat. Nonlinear Soft Matter Phys., vol. 51, no. 2, pp. 1035-1042, Feb. 1995.
29. F. Van Wageningen-Kessels, Y. Yuan, J. W. C. Van Lint, S. P. Hoogendoorn, and C. Vuik, "Discontinuities in the Lagrangian formulation of the kinematic wave model," in Proc. Summer Meeting Transp. Res. Board, Annecy, France, 2010, pp. 1-12.
30. F. Van Wageningen-Kessels, Y. Yuan, J. W. C. Van Lint, S. P. Hoogendoorn, and K. Vuik, "Sinks and sources in Lagrangian coordinates: Derivation, interpretation and simulation results," in Proc. 90th Transp. Res. Board Annu. Meeting, Washington, D.C., 2011, pp. 1-17.
31. L. Edie, "Discussion of traffic stream measurements and definitions," in Proc. 2nd Int. Symp. Theory Traffic Flow, Paris, France, 1965, pp. 139-154.
32. T. Schreiter, J. W. C. Van Lint, Y. Yuan, and S. P. Hoogendoorn, "Propagation wave speed estimation of freeway traffic with image processing tools," in Proc. 89th Transp. Res. Board Annu. Meeting,Washington, DC, 2010, pp. 1-17.
33. F. Soriguera and F. Robusté, "Estimation of traffic stream space mean speed from time aggregations of double loop detector data," Transp. Res. Part C, Emerging Technol., vol. 19, no. 1, pp. 115-129, 2011.
34. Y. Yuan, J. W. C. Van Lint, T. Schreiter, S. P. Hoogendoorn, and J. L. M. Vrancken, "Automatic speed-bias correction with flow-density relationships," in Proc. IEEE Int. Conf. Netw., Sens. Control, Chicago, IL, 2010, pp. 1-7.
35. S. Haykin, Kalman Filtering and Neural Networks. New York: Wiley, 2001.
36. T. Schreiter, C. P. I. Van Hinsbergen, F. S. Zuurbier, J.W. C. Van Lint, and S. P. Hoogendoorn, "Data-model synchronization in extended Kalman filters for accurate online traffic state estimation," in Proc. Summer Meeting Transp. Res. Board, Annecy, France, 2010, pp. 1-17.
37. Highway Agency, Accessed Jul. 2011. [Online]. Available: http://www.highways.gov.uk/knowledge/1334.aspx
38. R. E. Wilson, Accessed Jul. 2011. [Online]. Available: http://www.enm. bris.ac.uk/trafficdata
39. R. E. Wilson, "From inductance loops to vehicle trajectories," in Proc. Symp. Fundam. Diagram-75 years, 2008, pp. 134-143.
40. J.W. C. Van Lint, "Empirical evaluation of new robust travel time estimation algorithms," Transp. Res. Rec., vol. 2160, pp. 50-59, 2010.
41. J.W. C. Van Lint, "Empirical evaluation of new robust travel time estimation algorithms," in Proc. 89th Compendium Papers TRB Annu. Meeting, Washington, DC, 2010, pp. 1-18.
42. M. Cassidy, "Bivariate relations in nearly stationary highway traffic," Transp. Res. Part B, Methodological, vol. 32, no. 1, pp. 49-59, 1998.