Networks and Spatial Economics

, Volume 1, Issue 1–2, pp 179–203 | Cite as

The Importance of Traffic Flow Modeling for Motorway Traffic Control

  • A. Kotsialos
  • M. Papageorgiou
Article

Abstract

The problem of traffic congestion in modern day motorways calls for the design and implementation of efficient control strategies. It is argued in this paper that in order to have efficient, generic, and systematic solutions to a wide range of traffic control problems, macroscopic motorway traffic flow models in state-space form, that are relevant for the control problem and computationally non-intensive, are most appropriate. Such models allow the exploitation of available powerful, systematic, and theoretically supported automatic control concepts. Based on these concepts an Extended Kalman Filter for traffic state estimation, a multivariable LQI controller for coordinated ramp metering on a motorway stretch, and an integrated optimal control strategy for motorway networks are shortly presented. The criteria of a model's relevance for a given traffic control problem and its computational requirements are subsequently examined. Finally, the application of an advanced coordinated ramp metering control strategy, based on the optimal control approach, to the ring-road of Amsterdam, The Netherlands, is provided as an illustrative example.

traffic control traffic flow models traffic state estimation ramp metering optimal control 

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References

  1. 1.
    A. Aw, and M. Rascle, “ Resurrection of 'second Order' Models of Traffic Flow?, ” SIAM Journal on Applied Mathematics, 60, 2000, pp. 916-938.Google Scholar
  2. 2.
    M. Cremer, “ Flow variables: Estimation, ” In M. Papageorgiou, (ed.), Concise Encyclopedia of Traffic and Transportation Systems, Pergamon Press, 1991, pp. 143-148.Google Scholar
  3. 3.
    M. Cremer, and A. May, “ An Extended Traffic Flow Model For Inner Urban Freeways, ” In Preprints 5th IFAC/IFIP/IFORS International Conferance on Control in Transportation Systems, Vienna, Austria, 1986, pp. 383-388.Google Scholar
  4. 4.
    M. Cremer, and M. Papageorgiou. “ Parameter Identification for a Traffic Flow Model, ” Automatica, 17, 1981, pp. 837-843.Google Scholar
  5. 5.
    C. Daganzo, “ The Cell Transmission Model: A Dynamic Representation of Highway Traffic Consistent with the Hydrodynamic Theory, ” Transportation Research B, 28, 1994, pp. 269-287.Google Scholar
  6. 6.
    C. Daganzo, “ Requiem for Second-Order Fluid Approximations of Traffic Flow, ” Transportation Research B, 29, 1995, pp. 277-286.Google Scholar
  7. 7.
    J. del Castillo, P. Pintado, and F. Benitez, “ The Reaction Time of Drivers and the Stability of Traffic Flow, ” Transportation Research B, 28, 1994, pp. 35-60.Google Scholar
  8. 8.
    C. Diakaki, and M. Papageorgiou, Design and Simulation Test of Coordinated Ramp Metering Control (METALINE) for Al0-West in Amsterdam, Internal Report 1994-2, Dynamic Systems and Simulation Laboratory, Technical University of Crete, Chania, Greece, 1994.Google Scholar
  9. 9.
    F. Ho, and P. Ioannou, “ Traffic Flow Modeling and Control using Artificial Neural Networks, ” IEEE Control Systems Magazine, 16, 1996, pp. 16-27.Google Scholar
  10. 10.
    S. Hoogerdoorn, A Macroscopic Model for Multiple User-Class Traffic Operations: Deviation, Analysis and Numerical Results, PhD thesis, Technical University of Delft, Delft, The Netherlands, 1999.Google Scholar
  11. 11.
    A. Kotsialos, Y. Pavlis, M. Papageorgiou, and G. Vardaka, “ Modelling and Validation of the Amsterdam Motorway network, ” In Kotsialos et al., (eds.), Co-ordinated Control Strategies, Deliverable D06.1 of DACCORD project (TR1017), European Commission, Brussels, Belgium, 1997.Google Scholar
  12. 12.
    A. Kotsialos, M. Papageorgiou, and A. Messmer, “ Optimal Coordinated and Integrated Motorway Network Traffic Control, ” Proceedings of the 14th International Symposium on Transportation and Traffic Theory, Jerusalem, Israel: Pergamon, July 20-23, 1999, pp. 621-644.Google Scholar
  13. 13.
    J. Lebacque, “ Les Modèles Macroscopiques de Traffic, ” Annales des Ponts, 67, 1993, pp. 28-45.Google Scholar
  14. 14.
    J. Lebacque, and J. Lesort, “ Macroscopic Traffic Flow Models: A Question of Order, ” Proceedings of the 14th International Symposium on Transportation and Traffic Theory, Jerusalem, Israel: Pergamon, July 20-23, 1999, pp. 3-25.Google Scholar
  15. 15.
    M. Lighthill, and G. Whitham, “ On Kinematic Waves II: A Traffic Flow Theory on Long Crowded Roads, ” Proceedings of the Royal Society of London Series A, 229, 1955, pp. 317-345.Google Scholar
  16. 16.
    A. Messmer, and M. Papageorgiou, “ METANET: A Macroscopic Simulation Program for Motorway Networks, ” Traffic Engineering and Control, 31, 1990, pp. 466-470 and 31, p. 549.Google Scholar
  17. 17.
    P. Nelson, and A. Sopasakis, “ The Chapman-Enskog Expansion: A Novel Approach to Hierarchical Extension of Lighthill-Whitham Models, ” Proceedings of the 14th International Symposium on Transportation and Traffic Theory, Jerusalem, Israel: Pergamon, July 20-23, 1999, pp. 51-79.Google Scholar
  18. 18.
    M. Papageorgiou, Application of Automatic Control Concepts in Traffic Flow Modelling and Control, New York: Springer Verlag, 1983.Google Scholar
  19. 19.
    M. Papageorgiou, “ Dynamic Modelling, Assignment, and Route Guidance in Traffic Networks, ” Transportation Research B, 24, 1990, pp. 471-495.Google Scholar
  20. 20.
    M. Papageorgiou, “ Some Remarks on Macroscopic Traffic Flow Modelling, ” Transportation Research A, 32, 1998, pp. 323-329.Google Scholar
  21. 21.
    M. Papageorgiou, J. Blosseville, and H. Hadj-Salem, “ Modelling and Real-Time Control of Traffic Flow on the Southern Part of Boulevard P#x00E9;riphérique in Paris. Part I: Modelling, ” Transportation Research A, 24, 1990, pp. 345-359.Google Scholar
  22. 22.
    M. Papageorgiou, and M. Marinaki, A Feasible Direction Algorithm for the Numerical Solution of Optimal Control Problems, Internal Report 1995-4, Dynamic Systems and Simulation Laboratory, Technical University of Crete, Chania, Greece, 1995.Google Scholar
  23. 23.
    H. Payne, “ Models of Freeway Traffic and Control, ” Simulation Council Proceedings, 1, 1971, pp. 51-61.Google Scholar
  24. 24.
    P. Richards, “ Shock Waves on the Highway, ” Operations Research, 4, 1956, pp. 42-51.Google Scholar
  25. 25.
    K. Sanwal, K. Petty, J. Walrand, and Y. Fawaz, “ An Extended Macroscopic Model for Traffic Flow, ” Transportation Research B, 30, 1996, pp. 1-9.Google Scholar

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • A. Kotsialos
    • 1
  • M. Papageorgiou
    • 1
  1. 1.Dynamic Systems and Simulation LaboratoryTechnical University of CreteChaniaGreece

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