**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.

Corresponding technical report: pdf file (138 KB)

@inproceedings{LusKul:10-044,

author={T. Luspay and B. Kulcs{\'{a}}r and I. Varga and S.K. Zegeye and B. {D}e Schutter and M. Verhaegen},

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}

}

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