Simultaneous Traffic Flow and Macro Model Estimation for Signalized Junctions with Multiple Input Lanes

Luana Chetcuti Zammit, Simon G. Fabri, Kenneth Scerri

2017

Abstract

A novel algorithm is presented for macro model estimation of the dynamics of traffic flow in a junction having multiple input lanes for each turning direction. The proposed algorithm jointly estimates the states describing the traffic flow under different traffic conditions, together with model parameters and their uncertainties of the measurement and process noise. Use is made of the Expectation-Maximization methodology with a sliding window over time in order to obtain quasi real-time estimation.

References

  1. Astrom, K. J. and Wittenmark, B. (1995). Adaptive Control. Addison-Wesley, New York.
  2. Beckmann, M., McGuire, C. B., and Winsten, C. B. (1955). Studies in the Economics of Transportation. The Cowles, Commission, Yale University Press.
  3. Bishop, C. M. (2009). Pattern Recognition and Machine Learning. Springer, New York.
  4. Dang, X. H., Lee, V. C. S., Ng, W. K., Ciptadi, A., and Ong, K. L. (2009). An EM-Based Algorithm for Clustering Data Streams in Sliding Windows. In Proceedings of the 14th International Conference on Database Systems for Advanced Applications, Australia, April 21- 23.
  5. Dempster, A., Laird, N. M., and Rubin, D. B. (1977). ML from incomplete data via the EM algorithm. Journal of the Royal Statistical Society, Series B 39, 1-38.
  6. Dunn Engineering Associates and Siemens Intelligent Transporation Systems (2005). Traffic Control Systems Handbook. Technical report, Federal Highway Administration.
  7. Elliott, R. J. and Krishnamurthy, V. (1999). New FiniteDimensional Filters for Parameter Estimation of Discrete-Time Linear Gaussian Models. IEEE Transactions on Automatic Control, 44(5):938-951.
  8. Gazis, D. C. (2002). Traffic Theory . Kluwer Academic Publishers, New York.
  9. Gipps, P. G. (1981). A behavioural car following model for computer simulation. Transp. Res. B, 15, 403-414.
  10. Homolova, J. (2005). Traffic Flow Control. In Proceedings of the 15th International Conference on Process Control, Slovak University of Technology, Bratislava, June 7-10.
  11. Huber, M. (2015). Nonlinear Gaussian Filtering: Theory, Algorithms, and Applications. KIT Scientific Publishing, Karlsruhe Institute of Technology.
  12. Kratochvilova, J. and Nagy, I. (2004). Local traffic control of a microregion. Ministry of Transportation, Czech Republic, National Programme of Research 2004-2009, Projectnum. 1F43A/003/120.
  13. Lighthill, M. J. and Whitham, G. B. (1955). On kinematic waves. II. A theory of traffic flow on long crowded roads. In Proceedings of the Royal Society of London, 229, 317-345.
  14. Ljung, L. (1999). System Identification: Theory for the User. Prentice-Hall, Inc, Sweden.
  15. Mihaylova, L., Boel, R., and Hegyi, A. (2007). Freeway traffic estimation within particle filtering framework. Automatica, 43, 290-300.
  16. Olszewski, P. S. (1994). Modeling probability distribution of delay at signalized intersections. Journal of advanced transportation, 28:3, 253-274.
  17. Pecherkova, P., Dunik, J., and Flidr, M. (2008). Robotics Automation and Control, chapter 17, Modelling and Simultaneous Estimation of State and Parameters of Traffic System. InTech.
  18. Richards, P. I. (1956). Shock waves on the highway. Operations Research 4, 42-51.
  19. Sarkka, S. (2013). Bayesian Filtering and Smoothing. Cambridge University Press, Cambridge.
  20. Soderstrom, T. and Stoica, P. (1989). System Identification . Prentice-Hall, USA.
  21. Viti, F. and van Zuylen, H. J. (2004). Modeling Queues At Signalized Intersections. In Proceedings of the 83rd Annual Meeting of the Transportation Research Board, Washington D.C., January 11-15.
  22. Wang, Y., Papageorgiou, M., and Messmer, A. (2008). Real-time freeway traffic state estimation based on extended Kalman filter: Adaptive capabilities and real data testing. Transportation Research Part A, 42, 1340-1358.
  23. Webster, F. V. (1957). Traffic Signal Settings. Technical report, Road Research Technical Paper, No. 39, Road Research Laboratory, London.
  24. Zammit, L. C., Fabri, S. G., and Scerri, K. (2016). Joint state and parameter estimation for a macro traffic junction model. In Proceedings of the 24th Mediterranean Conference on Control and Automation, Greece, June 21-24.
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Paper Citation


in Harvard Style

Chetcuti Zammit L., Fabri S. and Scerri K. (2017). Simultaneous Traffic Flow and Macro Model Estimation for Signalized Junctions with Multiple Input Lanes . In Proceedings of the 3rd International Conference on Vehicle Technology and Intelligent Transport Systems - Volume 1: VEHITS, ISBN 978-989-758-242-4, pages 157-164. DOI: 10.5220/0006244801570164


in Bibtex Style

@conference{vehits17,
author={Luana Chetcuti Zammit and Simon G. Fabri and Kenneth Scerri},
title={Simultaneous Traffic Flow and Macro Model Estimation for Signalized Junctions with Multiple Input Lanes},
booktitle={Proceedings of the 3rd International Conference on Vehicle Technology and Intelligent Transport Systems - Volume 1: VEHITS,},
year={2017},
pages={157-164},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006244801570164},
isbn={978-989-758-242-4},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 3rd International Conference on Vehicle Technology and Intelligent Transport Systems - Volume 1: VEHITS,
TI - Simultaneous Traffic Flow and Macro Model Estimation for Signalized Junctions with Multiple Input Lanes
SN - 978-989-758-242-4
AU - Chetcuti Zammit L.
AU - Fabri S.
AU - Scerri K.
PY - 2017
SP - 157
EP - 164
DO - 10.5220/0006244801570164