Applicable filtering framework for online multiclass freeway network estimation

Physica A: Statistical Mechanics and its Applications

Volumn 387, Issue 2-3, 2008, Pages 599-616

  Ngoduy, D ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Macroscopic model; Multiclass traffic estimation; Unscented Kalman Filter; Unscented Particle Filter

Indexed keywords

DYNAMIC MODELS; KALMAN FILTERS; NONLINEAR ANALYSIS; ONLINE SYSTEMS; STOCHASTIC MODELS;

MACROSCOPIC MODELS; MULTICLASS TRAFFIC ESTIMATION; UNSCENTED KALMAN FILTERS; UNSCENTED PARTICLE FILTERS;

BAYESIAN NETWORKS;

EID: 36448937138     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.10.013     Document Type: Article

References (38)

1. Gazis D.C., and Knapp C.H. On-line estimation of traffic densities from time-series of flow and speed data. Transportation Science 5 (1971) 283-301
2. Szeto M.W., and Gazis D.C. Application of Kalman filtering to the surveillance and control of traffic systems. Transportation Science 6 (1972) 419-439
3. Nahi N.E., and Trivedi A.N. Recursive estimation of traffic variables: Section density and average speed. Transportation Science 7 (1973) 269-286
4. Kurkjian A., Gershwin S.B., Houpt P.K., WilLsky A.S., Chow E.Y., and Green C.S. Estimation of roadway traffic density on freeway using presence detector data. Transportation Science 14 (1980) 232-261
5. M. Cremer, H.A. Schutt, A comprehensive concept for simultaneous state observation, parameter estimation and incident detection, in: Proceedings of the 11th International Symposium on Transportation and Traffic Theory, 1990, pp. 95-111
6. Cremer M. Flow variables: Estimation. Concise Encyclopedia of Traffic and Transportation Systems (1991), Pergamon Press 143-148
7. Wang Y., and Papageorgiou M. Real-time freeway traffic state estimation based on extended Kalman filter: A general approach. Transportation Research B 39 (2005) 141-167
8. Wang Y., Papageorgiou M., and Messmer A. RENAISSANCE: A unified macroscopic model-based approach to real-time freeway network traffic surveillance. Transportation Research C 14 (2006) 190-212
9. A. Messmer, METANET, A simulation program for motorway networks, Technical University of Crete, Greece, 2001
10. S.P. Hoogendoorn, P.H.L. Bovy, Multiclass macroscopic traffic flow modelling: A multilane generalization using gas-kinetic theory, in: Proceedings of the 14th International Symposium on Transportation and Traffic Theory, 1999, pp. 27-50
11. Treiber M., Hennecke A., and Helbing D. Congested traffic states in empirical observations and microscopic simulations. Physical Review E 62 (2000) 1805-1824
12. Wong G.C.K., and Wong S.C. A multiclass traffic flow model-an extension of LWR model with heterogeneous drivers. Transportation Research A 36 (2002) 763-848
13. A. Hegyi, D. Girimonte, R. Babuska, B. De Schutter, A comparison of filter configurations for freeway traffic state estimation, in: Proceedings of the IEEE Intelligent Transportation Systems Conference, 2006, pp. 1029-1034
14. L. Mihaylova, R. Boel, A particle filter for freeway traffic estimation, in: Proc. of the 43rd IEEE Conference on Decision and Control, 2004, pp. 2106-2111
15. A. Hegyi, L. Mihaylova, R. Boel, Parallelizable particle filtering for freeway traffic state estimation, in: Proceedings of the European Control Conference, 2007
16. Helbing D., Hennecke A., Shvetsov V., and Treiber M. MASTER: Macroscopic traffic simulation based on a gas-kinetic non-local traffic model. Transportation Research B 35 2 (1999) 183-211
17. Treiber M., Hennecke A., and Helbing D. Derivation, properties and simulation of a gas-kinetic-based, non-local traffic model. Physical Review E 59 (1999) 239-253
18. Lighthill M.H., and Whitham G.B. On kinematic waves 2: A theory of traffic flow on long, crowded roads. Proceedings of the Royal Society of London A 229 (1955) 317-345
19. Richards P.I. Shock waves on the highway. Operations Research 4 (1956) 42-51
20. S. Logghe, Dynamic modeling of heterogeneous vehicular traffic, Ph.D. Thesis, Katholieke University of Leuven, Belgium, 2003
21. Chanut S., and Buisson C. A macroscopic model and its numerical solution for a two flow mixed traffic with different speeds and lengths. Transportation Research Record 1852 (2003) 209-219
22. Zhang H.M., and Jin W.L. A kinematic wave traffic flow model for mixed traffic. Transportation Research Records 1802 (2002) 197-204
23. Ngoduy D., and Liu R. Multiclass first order simulation model to explain non-linear traffic phenomena. Physica A 385 (2007) 667-682
24. Kerner B.S. The Physics of Traffic (2004), Springer, Berlin
25. Helbing D., and Treiber M. Gas-kinetic based traffic flow models explaining observed hysteretic phase transition. Physical Review Letters 81 (1998) 3042-3045
26. Helbing D., Hennecke A., and Treiber M. Phase diagram of traffic states in the presence of inhomogeneities. Physical Review Letters 82 21 (1999) 4360-4363
27. Ngoduy D., Hoogendoorn S.P., and van Zuylen H.J. New continuum traffic model for freeway with on- and off-ramp to explain different traffic congested states. Transportation Research Records 1965 (2006) 91-102
28. S. Chanut, First order macroscopic traffic flow model for mixed traffic including moving bottleneck effects, in: Proceedings of the 16th International Symposium on Transportation and Traffic Theory, 2005, pp. 365-386
29. Highway Capacity Manual (2000), Transportation Research Board, Washington D.C.
30. J.P. Lebacque, First order macroscopic traffic flow models: Intersection modeling, network modeling, in: Proceedings of the 16th International Symposium on Transportation and Traffic Theory, 2005, pp. 365-386
31. Ngoduy D., Hoogendoorn S.P., and van Zuylen H.J. Cross-comparison of numerical schemes for macroscopic traffic flow models. Transportation Research Records 1876 (2004) 52-61
32. Sod G.A. Numerical Methods in Fluid Dynamics (1985), Cambridge University Press, USA
33. E. Wan, R. Merwe, The unscented Kalman filter for nonlinear estimation, in: Proceedings of IEEE Symposium (AS-SPCC). http://citeseer.ist.psu.edu/wan00unscented.html, 2000
34. S.J. Julier, J.K. Uhlmann, Reduced sigma point filters for the propagation of means and covariances through nonlinear transformations, in: Proceedings of the American Control Conference, 2002, pp. 887-892
35. S.J. Julier, J.K. Uhlmann, Unscented Kalman filter for non-linear estimation, in: Proceedings of IEEE Symposium, 2004, pp. 401-422
36. R. van der Merwe, Sigma-point Kalman filter for probabilistic inference in dynamic state-space models, Ph.D. Thesis, OGI School of Science and Engineering at Oregon Health and Science University, USA, 2004
37. R. Merwe, E.A. Wan, Sigma-point Kalman filters for integrated navigation, in: Proceedings of the 60th Annual Meeting of the Institute of Navigation, ION. http://speech.bme.ogi.edu/publications/ps/merwe04a.pdf, 2004
38. Merwe R., Freitas N., Doucet A., and Wan E.A. Advances in Neural Information Processing System 13 (2001)