Abstract
In this chapter we present the general approach to traffic flow modeling and distinguish it from the methods of transportation planning. Furthermore, we introduce model classifications with respect to the aggregation level and with respect to mathematical and conceptional criteria. We also discuss how to model non-motorized traffic.
Politics is for the present, but an equation is for eternity.
Albert Einstein
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Traffic flow modeling and transportation planning are intertwined in these applications: Traffic flow models provide the basis for the route choice.
- 2.
In this sense, the adaptive smoothing method described in Sect. 5.2 can be considered as a kernel-based aggregation method for data points rather than vehicles.
- 3.
Since traffic flow models include describing the human behavior, the first principles are not as universal and invariant as the first principles in, e.g., physics.
- 4.
Some people say that introducing stochastic elements is tantamount to confessing ignorance.
Author information
Authors and Affiliations
Corresponding author
Further Reading
Further Reading
-
Greenshields, B.D.: A study of traffic capacity. In: Proceedings of the Highway Research Board, Vol. 14. Highway Research Board, Washington, D.C. (1935) 448–477
-
Helbing, D.: Traffic and related self-driven many-particle systems. Reviews of Modern Physics 73 (2001) 1067–1141
-
Hoogendoorn, S., Bovy, P.: State-of-the-art of vehicular traffic flow modelling. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 215 (2001) 283–303
-
Kerner, B.: Introduction to Modern Traffic Flow Theory and Control: The Long Road to Three-Phase Traffic Theory. Springer, Heidelberg (2009)
-
Gàbor Orosz, R. Eddie Wilson and Gàbor Stépàn: Traffic jams: dynamics and control. Phil. Trans. R. Soc. A 368 (2010) 4455–4479
-
Helbing, D., Farkas, I., Vicsek, T.: Simulating dynamical features of escape panic. Nature 40 (2000) 487–490
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Treiber, M., Kesting, A. (2013). General Aspects. In: Traffic Flow Dynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32460-4_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-32460-4_6
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32459-8
Online ISBN: 978-3-642-32460-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)