Skip to main content

Dynamic Traffic Assignment in Congested Networks

  • Conference paper
Advanced Methods in Transportation Analysis

Part of the book series: Transportation Analysis ((TRANSANALY))

Abstract

The evaluation of potential benefits of new information systems to road users and of demand management measures, like limited traffic zones and road pricing, in congested areas, requires representing time of the day dynamic of traffic flows on the road network and users’ behaviour. This can be accomplished by taking into account several aspects such as users’ information level and travel demand distribution over time, with the objective to get a forecast of the expected smoothing effects of adopted measures and information systems. Modelling approaches presented to perform this assessment are briefly reviewed in this paper, with the aim of improving traffic congestion representation in a˙ dynamic framework. In particular, queuing phenomena are studied and explicitly introduced in a simple link performance model embedded in a dynamic assignment procedure. Moreover, properties of the proposed model are investigated, the computation algorithm is defined and some preliminary results of its application to small size test networks are presented and discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Addison J.D., Heydecker B.G., “A Mathematical Model For Dynamic Traffic Assignment Transportation and Traffic Theory”, C. F. Daganzo ed. 171–183 Elsevier 1993.

    Google Scholar 

  2. Bellei G., Bielli M., “Dynamic Assignment for Trip Planning Systems Assessment”Atti del Convegno Nazionale ANIPLA L’Automazione neiSistemi di Trasporto 1990.

    Google Scholar 

  3. Bellei G., Bielli M., “Sensitivity Analysis of a Dynamic Equilibrium Model for Route and Arrival Time Choice”presented at the 2nd CapriSeminar on Urban Traffic Networks 1992.

    Google Scholar 

  4. Ben-Akiva M., Cyna M., De Palma A., “Dynamic Model of Peakperiod Traffic Congestion”Transp. Res.18B 339–355 1984.

    Article  Google Scholar 

  5. Bernstein D., Friesz T.L., Tobin R. L., Wie B. W., “A Variational Control Formulation of the Simultaneous Route and Departure-Time Choice Equilibrium Problem”Transportation and Traffic TheoryC. F. Daganzo ed. 107–126 Elsevier 1993.

    Google Scholar 

  6. Boyce D.E., Ran B., LeBlanc L.J., “Solving Dynamic User Optimal Traffic Assignment Model”Urban Transportation Center AdvanceWorking Papers Series N.ll (submitted to Transpn. Sci.) 1992.

    Google Scholar 

  7. Carey M., “A Constraint Qualif˙icanon for a Dynamic Traffic Assignment Model”Traltsplt. Sci.20 55–58 1986.

    Article  Google Scholar 

  8. Carey M., “Optimal Time-varying Flows on Congested Networks”Oper. Res.35 pp.58–69 1987

    Article  Google Scholar 

  9. Carey M., “Non convexity of the Dynamic Traffic Assignment Problem”Transpn. Res.26B 127–133 1992

    Google Scholar 

  10. Cascetta E., Cantarella G.E., “A Day-to-Day and Within-Day Dynamic Stochastic Assignment Model”, Transpn. Res. 25A.277–291 1991.

    Google Scholar 

  11. Daganzo C. F., “Stochastic Network Equilibrium with Multiple Vehicle Types and Asymmetric, Indefinite Links Cost Jacobians”Transpn. Sci.17 282–300 1983.

    Article  Google Scholar 

  12. Di Gangi M., “Continous Flow Approach in Dynamic Network Loading”presented at the 2nd Capri Seminar on Urban Traffic Networks 1992.

    Google Scholar 

  13. Drissi-Kaïtouni O.Hameda-Benchekroun A., “A Dynamic Traffic Assignment Model and a Solution Algorithm”Transpn. Sci.26 119–128 1992.

    Article  Google Scholar 

  14. Ford L.R., Fulkerson D.R., “Flows in Networks”,Princeton University Press.Princeton N. J. 1962.

    Google Scholar 

  15. Friesz T.L., Luque F.J., Tobin R.L., Wie B.W. “Dynamic User Optimal Traffic Assignment Model Based on Optimal Control Approach”Op. Res.37 pp.893–901 1989.

    Article  Google Scholar 

  16. Hamerslag R., “Dynamic Assignment in Three-Dimensional Time Space”Transpn Res. Rec.1220 28–32 1988.

    Google Scholar 

  17. Ho J.K., “A Successive Linear Optimization Approach to the Dynamic Traffic Assignment Problem”Transpn. Sci.14 pp.295–305 1980.

    Article  Google Scholar 

  18. Ho J.K., “Solving the Dynamic Traffic Assignment Problem on a Hypercube Multicomputer”Transp. Res.24B pp.443–451 1990.

    Article  Google Scholar 

  19. Janson B.N., “Dynamic Traffic Assignment for Urban Road Networks”Transpn. Res.25B pp.143–161 1991.

    Google Scholar 

  20. Mahmassani H.S., Chang G.L., “Experiments with Departure Time Choice Dynamics of Urban Commuters”Transpn. Res 20B pp.297 -320 1986.

    Google Scholar 

  21. Mahmassani H.S., Chang G.L., “Travel Time Prediction and Departure Time Adjustment Behaviour Dynamics in a Congested Traffic System”Transpn. Res 22B pp.217–232 1988.

    Google Scholar 

  22. Merchant D.K., Nemhauser G.L., “A Model and Algorithm for the Dynamic Traffic Assignment Problem”Transpn. Sci.12 183–199 1978a.

    Article  Google Scholar 

  23. Merchant D.K., Nemhauser G.L., “Optimality Conditions for a Dynamic Traffic Assignment Model”Transp. Sci.12 200–207 1978b.

    Article  Google Scholar 

  24. Papageorgiou M., “Dynamic Modelling, Assignment and Route Guidance in Traffic Networks”Transp. Res.24B pp.471–495 1990.

    Article  Google Scholar 

  25. Ran B., Shimazaki T., “A General Model and Algorithm for the Dynamic Traffic Assignment Problem”Proceedings of the 5th World Conference on Transportation Resarch- Yokohama, Japan 1989.

    Google Scholar 

  26. Ran B., Boyce D.E., LeBlanc L.J., “Dynamic User-Optimal Departure Time and Route Choice Model: A Bilevel, Optimal Control Formulation”submitted to Ann. of Op. Res., special issue onAdvances in Equilibrium Modelling, Analysis and Computation 1992a.

    Google Scholar 

  27. Ran B., Boyce D.E., LeBlanc L.J., “Dynamic User-Optimal Route Choice Models Based on Stochastic Route Travel Times”presented atthe 2nd Capri Seminar on Urban Traffic Networks 1992b.

    Google Scholar 

  28. Smith M.J., “A New Dynamic Traffic Model and the Existence and Calculation of Dynamic User Equilibria on Congested Capacityconstrained Road Networks”Transp. Res.27B pp 49–64 1993.

    Article  Google Scholar 

  29. Vythoulkas P.K., “A Dynamic Stochastic Assignmenl Model for the Analysis of General Networks”Transp. Res.24B pp.453–469 1990.

    Article  Google Scholar 

  30. Wie B.W., Friesz T.L., Tobin R.L., “Dynamic User Optimal Traffic Assignment on Congested MuItidestination Networks”Transp. Res.24B pp.431–442 1990.

    Article  Google Scholar 

  31. YagarS.“Emulation of Dynamic Equilibrium in Traffic Networks”Traffic Equilibrium Methods240–264 (Florian M. Editor) Springer- Verlag 1976.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin. Heidelberg

About this paper

Cite this paper

Bellei, G., Bielli, M. (1996). Dynamic Traffic Assignment in Congested Networks. In: Bianco, L., Toth, P. (eds) Advanced Methods in Transportation Analysis. Transportation Analysis. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85256-5_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-85256-5_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-85258-9

  • Online ISBN: 978-3-642-85256-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics