Reference
T. Luspay, B. Kulcsár, I. Varga,
S. K. Zegeye, B. De Schutter, and M. Verhaegen,
"On acceleration of traffic flow,"
Proceedings of the 13th
International IEEE Conference on Intelligent Transportation Systems (ITSC
2010), Madeira Island, Portugal, pp. 741-746, Sept. 2010.
Abstract
The paper contributes to the derivation and analysis of accelerations in
freeway traffic flow models. First, a solution based on fluid dynamics and on
pure mathematical manipulations is given to express accelerations. The
continuous-time acceleration is then approximated by a discrete-time
equivalent. By applying continues time microscopic and macroscopic traffic flow
velocity definitions, spatial and material derivatives are used to describe the
continuous-time and exact changes in the velocity vector field. A
forward-difference Euler method is proposed to discretize the acceleration both
in time and space. For applicability purposes the use of average quantities is
proposed. The finite-difference approximation by space-mean speed is shown to
be consistent, and its solution is convergent to the original continuous-time
form. As an alternative, the acceleration obtained from a second-order
macroscopic freeway model by means of physical interpretation (see
"Model-based traffic control for balanced reduction of fuel consumption,
emissions, and travel time," by S.K. Zegeye, B. De Schutter, H. Hellendoorn,
and E. Breunesse,
Proceedings of the 12th IFAC Symposium on
Transportation Systems, Redondo Beach, California, pp. 149-154, Sept.
2009) is analyzed and found to be an appropriate discrete approximation.
Comparative remarks as well as future research questions conclude the paper.
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BibTeX
@inproceedings{LusKul:10-044,
author = {Luspay, Tam{\'{a}}s and Kulcs{\'{a}}r, Bal{\'{a}}zs and Varga,
Istv{\'{a}}n and Zegeye, Solomon Kidane and De Schutter, Bart
and Verhaegen, Michel},
title = {On Acceleration of Traffic Flow},
booktitle = {Proceedings of the 13th International IEEE Conference on
Intelligent Transportation Systems (ITSC 2010)},
address = {Madeira Island, Portugal},
pages = {741--746},
month = sep,
year = {2010}
}