Skip to main content

Empirical and Theoretical Fundamentals for Reliable Control and Optimization of Vehicular Traffic and Transportation Networks

  • Conference paper
  • First Online:
Traffic and Granular Flow '13
  • 2034 Accesses

Abstract

As explained in a TGF’13 talk and Kerner (Physica A 392:5261–5282, 2013), generally accepted fundamentals and methodologies of traffic and transportation theory have failed by their applications for traffic network optimization and control in the real world. In comparison with a full version of the review Kerner (Physica A 392:5261–5282, 2013) with about 540 references, in this short paper we formulate and discuss empirical and theoretical fundamentals, which can be used for the development of reliable control and optimization of vehicular traffic and transportation networks.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. B.S. Kerner, Physica A 392, 5261–5282 (2013)

    Article  MathSciNet  Google Scholar 

  2. A.D. May, Traffic Flow Fundamentals (Prentice-Hall, Englewood Cliffs, 1990)

    Google Scholar 

  3. F.L. Hall, K. Agyemang-Duah, Trans. Res. Rec. 1320, 91–98 (1991)

    Google Scholar 

  4. F.L. Hall, V.F. Hurdle, J.H. Banks, Transp. Res. Rec. 1365, 12–18 (1992)

    Google Scholar 

  5. L. Elefteriadou, R.P. Roess, W.R. McShane, Transp. Res. Rec. 1484, 80–89 (1995)

    Google Scholar 

  6. B.N. Persaud, S. Yagar, R. Brownlee, Trans. Res. Rec. 1634, 64–69 (1998)

    Article  Google Scholar 

  7. M. Lorenz, L. Elefteriadou, Transp. Res. Circ. E-C018, 84–95 (2000)

    Google Scholar 

  8. W. Brilon, M. Regler, J. Geistefeld, Straßenverkehrstechnik, Heft 3, 136 (2005)

    Google Scholar 

  9. W. Brilon, H. Zurlinden, Straßenverkehrstechnik, Heft 4, 164 (2004)

    Google Scholar 

  10. W. Brilon, J. Geistefeldt, M. Regler, in Traffic and Transportation Theory, ed. by H.S. Mahmassani (Elsevier, Amsterdam, 2005), pp. 125–144

    Google Scholar 

  11. J. Geistefeldt, W. Brilon, in Transportation and Traffic Theory, ed. by W.H.K. Lam, S.C. Wong, H.K. Lo (Springer, Dordrecht/Heidelberg/London/New York, 2009), pp. 583–602

    Google Scholar 

  12. B.S. Kerner, The Physics of Traffic (Springer, Berlin/Heidelberg/New York, 2004)

    Book  Google Scholar 

  13. B.S. Kerner, Introduction to Modern Traffic Flow Theory and Control (Springer, Heidelberg/Dordrecht/London/New York, 2009)

    Book  Google Scholar 

  14. M.J. Lighthill, G.B. Whitham, Proc. R. Soc. A 229, 281–345 (1955)

    Article  MATH  MathSciNet  Google Scholar 

  15. P.I. Richards, Oper. Res. 4, 42–51 (1956)

    Article  MathSciNet  Google Scholar 

  16. C.F. Daganzo, Trans. Res. B 28, 269–287 (1994)

    Article  Google Scholar 

  17. C.F. Daganzo, Transp. Res. B 29, 79–93 (1995)

    Article  Google Scholar 

  18. R. Herman, E.W. Montroll, R.B. Potts, R.W. Rothery, Oper. Res. 7, 86–106 (1959)

    Article  MathSciNet  Google Scholar 

  19. D.C. Gazis, R. Herman, R.B. Potts, Oper. Res. 7, 499–505 (1959)

    Article  MathSciNet  Google Scholar 

  20. D.C. Gazis, R. Herman, R.W. Rothery, Oper. Res. 9, 545–567 (1961)

    Article  MATH  MathSciNet  Google Scholar 

  21. B.S. Kerner, P. Konhäuser, Phys. Rev. E 48, 2335–2338 (1993)

    Article  Google Scholar 

  22. B.S. Kerner, P. Konhäuser, Phys. Rev. E 50, 54–83 (1994)

    Article  Google Scholar 

  23. B.D. Greenshields, Highw. Res. Board Proc. 14, 448–477 (1935)

    Google Scholar 

  24. Highway Capacity Manual 2000, National Research Council, Transportation Research Board, Washington, DC, 2000

    Google Scholar 

  25. Highway Capacity Manual 2010, National Research Council, Transportation Research Board, Washington, DC, 2010

    Google Scholar 

  26. L. Elefteriadou, An Introduction to Traffic Flow Theory. Springer Optimization and Its Applications, vol. 84 (Springer, Berlin, 2014)

    Google Scholar 

  27. J.G. Wardrop, in Proceedings of the Institution of Civil Engineers II, vol. 1, (London, UK, 1952), pp. 325–378

    Google Scholar 

  28. B.S. Kerner, Trans. Res. Rec. 1678, 160–167 (1999)

    Article  Google Scholar 

  29. B.S. Kerner, Phys. World 12, 25–30 (1999)

    Google Scholar 

  30. B.S. Kerner, in Transportation and Traffic Theory, ed. by A. Ceder (Elsevier, Amsterdam, 1999), pp. 147–171

    Google Scholar 

  31. B.S. Kerner, S.L. Klenov, D.E. Wolf, J. Phys. A Math. Gen. 35, 9971–10013 (2002)

    Article  MATH  Google Scholar 

  32. T.S. Kuhn, The Structure of Scientific Revolutions, 4th edn. (The University of Chicago Press, Chicago/London, 2012)

    Book  Google Scholar 

  33. B.S. Kerner, Physica A 397, 76–110 (2014)

    Article  MathSciNet  Google Scholar 

  34. B. S. Kerner, Phys. Rev. E 84, 045102(R) (2011)

    Google Scholar 

  35. B. S. Kerner, Europhys. Lett. 102, 28010 (2013)

    Article  Google Scholar 

  36. B. S. Kerner, S. L. Klenov, M. Schreckenberg, J. Stat. Mech. P03001 (2014)

    Google Scholar 

Download references

Acknowledgements

We thank our partners for their support in the project UR:BAN – Urban Space: User oriented assistance systems and network management”, funded by the German Federal Ministry of Economics and Technology by resolution of the German Federal Parliament.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Boris S. Kerner .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Kerner, B.S. (2015). Empirical and Theoretical Fundamentals for Reliable Control and Optimization of Vehicular Traffic and Transportation Networks. In: Chraibi, M., Boltes, M., Schadschneider, A., Seyfried, A. (eds) Traffic and Granular Flow '13. Springer, Cham. https://doi.org/10.1007/978-3-319-10629-8_42

Download citation

Publish with us

Policies and ethics