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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
B.S. Kerner, Physica A 392, 5261–5282 (2013)
A.D. May, Traffic Flow Fundamentals (Prentice-Hall, Englewood Cliffs, 1990)
F.L. Hall, K. Agyemang-Duah, Trans. Res. Rec. 1320, 91–98 (1991)
F.L. Hall, V.F. Hurdle, J.H. Banks, Transp. Res. Rec. 1365, 12–18 (1992)
L. Elefteriadou, R.P. Roess, W.R. McShane, Transp. Res. Rec. 1484, 80–89 (1995)
B.N. Persaud, S. Yagar, R. Brownlee, Trans. Res. Rec. 1634, 64–69 (1998)
M. Lorenz, L. Elefteriadou, Transp. Res. Circ. E-C018, 84–95 (2000)
W. Brilon, M. Regler, J. Geistefeld, Straßenverkehrstechnik, Heft 3, 136 (2005)
W. Brilon, H. Zurlinden, Straßenverkehrstechnik, Heft 4, 164 (2004)
W. Brilon, J. Geistefeldt, M. Regler, in Traffic and Transportation Theory, ed. by H.S. Mahmassani (Elsevier, Amsterdam, 2005), pp. 125–144
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
B.S. Kerner, The Physics of Traffic (Springer, Berlin/Heidelberg/New York, 2004)
B.S. Kerner, Introduction to Modern Traffic Flow Theory and Control (Springer, Heidelberg/Dordrecht/London/New York, 2009)
M.J. Lighthill, G.B. Whitham, Proc. R. Soc. A 229, 281–345 (1955)
P.I. Richards, Oper. Res. 4, 42–51 (1956)
C.F. Daganzo, Trans. Res. B 28, 269–287 (1994)
C.F. Daganzo, Transp. Res. B 29, 79–93 (1995)
R. Herman, E.W. Montroll, R.B. Potts, R.W. Rothery, Oper. Res. 7, 86–106 (1959)
D.C. Gazis, R. Herman, R.B. Potts, Oper. Res. 7, 499–505 (1959)
D.C. Gazis, R. Herman, R.W. Rothery, Oper. Res. 9, 545–567 (1961)
B.S. Kerner, P. Konhäuser, Phys. Rev. E 48, 2335–2338 (1993)
B.S. Kerner, P. Konhäuser, Phys. Rev. E 50, 54–83 (1994)
B.D. Greenshields, Highw. Res. Board Proc. 14, 448–477 (1935)
Highway Capacity Manual 2000, National Research Council, Transportation Research Board, Washington, DC, 2000
Highway Capacity Manual 2010, National Research Council, Transportation Research Board, Washington, DC, 2010
L. Elefteriadou, An Introduction to Traffic Flow Theory. Springer Optimization and Its Applications, vol. 84 (Springer, Berlin, 2014)
J.G. Wardrop, in Proceedings of the Institution of Civil Engineers II, vol. 1, (London, UK, 1952), pp. 325–378
B.S. Kerner, Trans. Res. Rec. 1678, 160–167 (1999)
B.S. Kerner, Phys. World 12, 25–30 (1999)
B.S. Kerner, in Transportation and Traffic Theory, ed. by A. Ceder (Elsevier, Amsterdam, 1999), pp. 147–171
B.S. Kerner, S.L. Klenov, D.E. Wolf, J. Phys. A Math. Gen. 35, 9971–10013 (2002)
T.S. Kuhn, The Structure of Scientific Revolutions, 4th edn. (The University of Chicago Press, Chicago/London, 2012)
B.S. Kerner, Physica A 397, 76–110 (2014)
B. S. Kerner, Phys. Rev. E 84, 045102(R) (2011)
B. S. Kerner, Europhys. Lett. 102, 28010 (2013)
B. S. Kerner, S. L. Klenov, M. Schreckenberg, J. Stat. Mech. P03001 (2014)
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
Corresponding author
Editor information
Editors and Affiliations
Rights 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
DOI: https://doi.org/10.1007/978-3-319-10629-8_42
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10628-1
Online ISBN: 978-3-319-10629-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)