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Research Article

Incremental unscented Kalman filter for real-time traffic estimation on motorways using multi-source data

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Pages 1127-1153 | Received 25 May 2020, Accepted 04 May 2021, Published online: 01 Jun 2021

References

  • Anand, Asha, Gitakrishnan Ramadurai, and Lelitha Vanajakshi. 2014. “Data Fusion-based Traffic Density Estimation and Prediction.” Journal of Intelligent Transportation Systems 18 (4): 367–378.
  • Chu, Lianyu, S. Oh, and Will Recker. 2005. “Adaptive Kalman Filter Based Freeway Travel Time Estimation.” In 84th TRB Annual Meeting, Washington, D.C., United States, Transportation Research Board.
  • Courant, Richard, Kurt Friedrichs, and Hans Lewy. 1928. “Über Die Partiellen Differenzengleichungen Der Mathematischen Physik.” Mathematische Annalen 100 (1): 32–74.
  • Daganzo, Carlos F. 1994. “The Cell Transmission Model: A Dynamic Representation of Highway Traffic Consistent with the Hydrodynamic Theory.” Transportation Research Part B: Methodological 28 (4): 269–287.
  • Daganzo, Carlos F. 1995. “The Cell Transmission Model, Part II: Network Traffic.” Transportation Research Part B: Methodological 29 (2): 79–93.
  • Dervisoglu, Gunes, Gabriel Gomes, Jaimyoung Kwon, Roberto Horowitz, and Pravin Varaiya. 2009. “Automatic Calibration of the Fundamental Diagram and Empirical Observations on Capacity.” In Transportation Research Board 88th Annual Meeting, Washington, D.C., United States, Vol. 15, 31–59. Citeseer.
  • Duret, Aurélien, and Yufei Yuan. 2017. “Traffic State Estimation Based on Eulerian and Lagrangian Observations in a Mesoscopic Modeling Framework.” Transportation Research Part B: Methodological 101: 51–71.
  • Hegyi, A, Lyudmila Mihaylova, René Boel, and Zs Lendek. 2007. “Parallelized Particle Filtering for Freeway Traffic State Tracking.” In 2007 European Control Conference (ECC), Kos, Greece, 2442–2449. IEEE.
  • Herrera, Juan C., and Alexandre M. Bayen. 2007. “Traffic Flow Reconstruction Using Mobile Sensors and Loop Detector Data.” In 87th TRB Annual Meeting, Washington, D.C., United States, Transportation Research Board.
  • Herrera, Juan C., and Alexandre M. Bayen. 2010. “Incorporation of Lagrangian Measurements in Freeway Traffic State Estimation.” Transportation Research Part B: Methodological 44 (4): 460–481.
  • Julier, Simon J., and Jeffrey K. Uhlmann. 1997. “New Extension of the Kalman Filter to Nonlinear Systems.” In Signal processing, sensor fusion, and target recognition VI, Orlando, United States, Vol. 3068, 182–193. International Society for Optics and Photonics.
  • Julier, Simon J., and Jeffrey K. Uhlmann. 2004. “Unscented Filtering and Nonlinear Estimation.” Proceedings of the IEEE 92 (3): 401–422.
  • Khaleghi, Bahador, Alaa Khamis, Fakhreddine O. Karray, and Saiedeh N. Razavi. 2013. “Multisensor Data Fusion: A Review of the State-of-the-art.” Information Fusion 14 (1): 28–44.
  • Leclercq, L, J Laval, and E Chevallier. 2007. “The Lagrangian Coordinate System and What it Means for First Order Traffic Flow Model.” In The Proceedings of the 17th International Symposium on Transportation and Traffic Theory, London, UK.
  • Lighthill, Michael James, and Gerald Beresford Whitham. 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.
  • Liu, Yingshun, Shanglu He, Bin Ran, and Yang Cheng. 2018. “A Progressive Extended Kalman Filter Method for Freeway Traffic State Estimation Integrating Multisource Data.” Wireless Communications and Mobile Computing 2018: 1–10.
  • Messner, Albert, and Markos Papageorgiou. 1990. “METANET: A Macroscopic Simulation Program for Motorway Networks.” Traffic Engineering & Control 31 (8–9): 466–470.
  • Mihaylova, Lyudmila, and René Boel. 2004. “A Particle Filter for Freeway Traffic Estimation.” In 2004 43rd IEEE Conference on Decision and Control (CDC)(IEEE Cat. No. 04CH37601), Nassau, Bahamas, Vol. 2, 2106–2111. IEEE.
  • Mihaylova, Lyudmila, René Boel, and A. Hegiy. 2006. “An Unscented Kalman Filter for Freeway Traffic Estimation.” In The 11th IFAC Symposium on Control in Transportation Systems, Delft, The Netherlands, 29–31. IFAC.
  • Mihaylova, Lyudmila, René Boel, and Andreas Hegyi. 2007. “Freeway Traffic Estimation Within Particle Filtering Framework.” Automatica 43 (2): 290–300.
  • Muñoz, Laura, Xiaotian Sun, Dengfeng Sun, Gabriel Gomes, and Roberto Horowitz. 2004. “Methodological Calibration of the Cell Transmission Model.” In Proceedings of the 2004 American Control Conference, Boston, Massachusetts, Vol. 1, 798–803. IEEE.
  • Nantes, Alfredo, Dong Ngoduy, Ashish Bhaskar, Marc Miska, and Edward Chung. 2016. “Real-time Traffic State Estimation in Urban Corridors From Heterogeneous Data.” Transportation Research Part C: Emerging Technologies 66: 99–118.
  • Nanthawichit, Chumchoke, Takashi Nakatsuji, and Hironori Suzuki. 2003. “Application of Probe-vehicle Data for Real-time Traffic-state Estimation and Short-term Travel-time Prediction on a Freeway.” Transportation Research Record 1855 (1): 49–59.
  • Ngoduy, D. 2011a. “Low-rank Unscented Kalman Filter for Freeway Traffic Estimation Problems.” Transportation Research Record 2260: 113–122.
  • Ngoduy, Dong. 2011b. “Kernel Smoothing Method Applicable to the Dynamic Calibration of Traffic Flow Models.” Computer-Aided Civil and Infrastructure Engineering 26 (6): 420–432.
  • Ngoduy, Dong, and Agachai Sumalee. 2010. “Adaptive Estimation of Noise Covariance Matrices in Unscented Kalman Filter for Multiclass Traffic Flow Model.” Transportation Research Record 2188 (1): 119–130.
  • Ottaviano, Flavia, Fabing Cui, and Andy H. F. Chow. 2017. “Modeling and Data Fusion of Dynamic Highway Traffic.” Transportation Research Record 2644 (1): 92–99.
  • Papageorgiou, Markos, Jean-Marc Blosseville, and Habib Hadj-Salem. 1989. “Macroscopic Modelling of Traffic Flow on the Boulevard Périphérique in Paris.” Transportation Research Part B: Methodological 23 (1): 29–47.
  • PeMS. n.d. “Freeway Performance Measurement System.” Accessed January 10, 2020. http://pems.dot.ca.gov/.
  • Richards, Paul I. 1956. “Shock Waves on the Highway.” Operations Research 4 (1): 42–51.
  • Risso, Mariano A., Neila Bhouri, Aldo J. Rubiales, and Pablo A. Lotito. 2020. “A Constrained Filtering Algorithm for Freeway Traffic State Estimation.” Transportmetrica A: Transport Science 16 (2): 316–336.
  • Sun, Xiaotian, Laura Muñoz, and Roberto Horowitz. 2003. “Highway Traffic State Estimation Using Improved Mixture Kalman Filters for Effective Ramp Metering Control.” In 42nd IEEE International Conference on Decision and Control (IEEE Cat. No. 03CH37475), Maui, Hawaii, Vol. 6, 6333–6338. IEEE.
  • Sun, Xiaotian, Laura Muñoz, and Roberto Horowitz. 2004. “Mixture Kalman Filter Based Highway Congestion Mode and Vehicle Density Estimator and its Application.” In Proceedings of the 2004 American Control Conference, Boston, Massachusetts, Vol. 3, 2098–2103. IEEE.
  • Treiber, Martin, and Dirk Helbing. 2002. “Reconstructing the Spatio-temporal Traffic Dynamics From Stationary Detector Data.” Cooper@tive Tr@nsport@tion Dyn@mics 1 (3): 3–1.
  • Treiber, Martin, Arne Kesting, and R. Eddie Wilson. 2011. “Reconstructing the Traffic State by Fusion of Heterogeneous Data.” Computer-Aided Civil and Infrastructure Engineering 26 (6): 408–419.
  • Trinh, Xuan Sy, Dong Ngoduy, Mehdi Keyvan-Ekbatani, and Blair Robertson. 2019. “A Comparative Study on Filtering Methods for Online Freeway Traffic Estimation Using Heterogeneous Data.” In 2019 IEEE Intelligent Transportation Systems Conference (ITSC), Auckland, NZ, 4386–4391. IEEE.
  • Van Lint, J. W. C., and Serge P. Hoogendoorn. 2010. “A Robust and Efficient Method for Fusing Heterogeneous Data From Traffic Sensors on Freeways.” Computer-Aided Civil and Infrastructure Engineering 25 (8): 596–612.
  • Van Lint, J. W. C., Serge P. Hoogendoorn, and A. Hegyi. 2008. “Dual EKF State and Parameter Estimation in Multi-class First-order Traffic Flow Models.” IFAC Proceedings Volumes 41 (2): 14078–14083.
  • Wan, Eric A, and Rudolph Van Der Merwe. 2000. “The Unscented Kalman Filter for Nonlinear Estimation.” In Proceedings of the IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium (Cat. No. 00EX373), Alberta, Canada, 153–158. IEEE.
  • Wang, Yibing, and Markos Papageorgiou. 2005. “Real-time Freeway Traffic State Estimation Based on Extended Kalman Filter: a General Approach.” Transportation Research Part B: Methodological 39 (2): 141–167.
  • Wang, Yibing, Markos Papageorgiou, Albert Messmer, Pierluigi Coppola, Athina Tzimitsi, and Agostino Nuzzolo. 2009. “An Adaptive Freeway Traffic State Estimator.” Automatica 45 (1): 10–24.
  • Work, Daniel B., Sébastien Blandin, Olli-Pekka Tossavainen, Benedetto Piccoli, and Alexandre M. Bayen. 2010. “A Traffic Model for Velocity Data Assimilation.” Applied Mathematics Research EXpress2010 (1): 1–35.
  • Wright, Matthew, and Roberto Horowitz. 2016. “Fusing Loop and GPS Probe Measurements to Estimate Freeway Density.” IEEE Transactions on Intelligent Transportation Systems 17 (12): 3577–3590.
  • Yuan, Yufei, Friso Scholten, and Hans van Lint. 2015. “Efficient Traffic State Estimation and Prediction Based on the Ensemble Kalman Filter With a Fast Implementation and Localized Deterministic Scheme.” In 2015 IEEE 18th International Conference on Intelligent Transportation Systems, Las Palmas, Spain, 477–482. IEEE.
  • Yuan, Yufei, J. W. C. Van Lint, R. Eddie Wilson, Femke van Wageningen-Kessels, and Serge P. Hoogendoorn. 2012. “Real-time Lagrangian Traffic State Estimator for Freeways.” IEEE Transactions on Intelligent Transportation Systems 13 (1): 59–70.
  • Yuan, Yufei, J. W. C. Van Lint, Serge P. Hoogendoorn, Jos L. M. Vrancken, and Thomas Schreiter. 2011. “Freeway Traffic State Estimation Using Extended Kalman Filter for First-Order Traffic Model in Lagrangian Coordinates.” In 2011 International Conference on Networking, Sensing and Control, Delft, The Netherlands, 121–126. IEEE.

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