Real-time freeway traffic state prediction: A particle filter approach

IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC

Volumn , Issue , 2011, Pages 626-631

  Chen, Hao ^a   Rakha, Hesham A ^a   Sadek, Shereef ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b VIRGINIA TECH TRANSPORTATION INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETIZATION SCHEME; ENSEMBLE KALMAN FILTER; FLOW CONTINUITY EQUATIONS; LOOP DETECTOR DATA; MULTI-STEP; NUMERICAL SOLUTION; PARTICLE FILTER; PREDICTION ACCURACY; PREDICTION ERRORS; PREDICTION HORIZON; REAL-TIME FREEWAY; SERIES EQUATIONS; SPATIAL RELATIONSHIPS; SPEED MEASUREMENT; SPEED PREDICTION; STRONG NONLINEARITY; TEMPORAL PROPAGATION; TRAFFIC SPEED; TRAFFIC STATE; TRAFFIC STREAMS;

ALGORITHMS; COMPUTER SIMULATION; CONTROL NONLINEARITIES; FORECASTING; INTELLIGENT SYSTEMS; NONLINEAR FILTERING; PARTIAL DIFFERENTIAL EQUATIONS; REAL TIME SYSTEMS; SPEED; SPEED REGULATORS; TIME SERIES;

HIGHWAY TRAFFIC CONTROL;

EID: 83755163810     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ITSC.2011.6082873     Document Type: Conference Paper

References (20)

1. Yibing Wang and Markos Papageorgiou, "Real-time freeway traffic state estimation based on extended Kalman filter: a general approach," Transportation Research Part B, vol. 39, pp. 141-167, 2005.
2. Lyudmila Mihaylova, et al., "Freeway traffic estimation within particle filtering framework," Automatica, vol. 43, pp. 290-300, 2007.
3. Jacques Sau, et al., "Particle filter-based real-time estimation and prediction of traffic conditions," Recent advances in stochastic modeling and data analysis: Chania, Greece, 29 May-1 June 2007, p. 406, 2007.
4. Daniel B. Work., et al., "An ensemble Kalman filtering approach to highway traffic estimation using GPS enabled mobile devices," presented at the 47th IEEE Conference on Decision and Control, 2008.
5. Branko Ristic, and Sanjeev Arulampalam, Beyond the Kalman Filter: Particle Filters for Tracking Applications. Boston, MA, 2004.
6. Peng Cheng, et al., "Traffic Estimation Based on Particle Filtering with Stochastic State Reconstruction Using Mobile Network Data," in Transportation Research Board Annual Meeting, 2006.
7. Daniel B. Work, et al., "A Traffic Model for Velocity Data Assimilation," Applied Mathematics Research Express, vol. 2010, pp. 1-35, 2010.
8. Hesham Rakha and Brent Crowther, "Comparison of Greenshields, Pipes, and Van Aerde car-following and traffic stream models," Transportation Research Record., pp. 248-262 2002.
9. Yibing Wang, et al., "Real-time freeway traffic state estimation based on extended Kalman filter: Adaptive capabilities and real data testing," Transportation Research Part A, vol. 42, pp. 1340-1358, 2008.
10. Vincent Guinot, Godunov-type Schemes: An Introduction for Engineers: Elsevier, 2003.
11. M.J. Lighthill and G.B. Witham, " On Kinematic Waves. I: Flood Movement in Long Rivers, II. A Theory of Traffic Flow on Long Crowded Roads," Proceedings of the Royal Society of London, vol. A229, pp. 281-345, 1955.
12. P.I. Richards, "Shock waves on the highway," Operations Research, vol. 4, pp. 42-51, 1956.
13. M. Van Aerde, "Single regime speed-flow-density relationship for congested and uncongested highways," Presented at the 74th TRB Annual Conference, Washington DC, Paper No. 950802., 1995.
14. Michel Van Aerde and Hesham Rakha, "Multivariate calibration of single regime speed-flow-density relationships," in Proceedings of the 6th 1995 Vehicle Navigation and Information Systems Conference, Seattle, WA, USA, 1995, pp. 334-341.
15. S. K. Godunov, "A Difference Scheme for Numerical Solution of Discontinuous Solution of Hydrodynamic Equations," Math. Sbornik, vol. 47, pp. 271-306, 1959.
16. Randall J. LeVeque, Numerical Methods for Conservation Laws: Birkhäuser Basel, 1992.
17. P. Le Floch, "Explicit formula for scalar non-linear conservation laws with boundary condition," Mathematical Methods in the Applied Sciences, vol. 10, pp. 265-287, 1988.
18. Sanjeev Arulampalam M., et al., "A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking," IEEE Transactions on Signal Processing, vol. 50, pp. 174-188, 2002.
19. M. Van Aerde and H. Rakha, INTEGRATION © Release 2.30 for Windows: User's Guide -Volume I: Fundamental Model Features. Blacksburg: M. Van Aerde & Assoc., Ltd., 2007.
20. Sangjun Park, et al., "Calibration Issues for Multistate Model of Travel Time Reliability," Transportation Research Record, pp. 74-84, 2010.