Reference
N. Groot, B. De Schutter,
S. K. Zegeye,
and H. Hellendoorn, "Model-based traffic and emission control using PWA models
- A mixed-logical dynamic approach,"
Proceedings of the 14th
International IEEE Conference on Intelligent Transportation Systems (ITSC
2011), Washington, DC, pp. 2142-2147, Oct. 2011.
Abstract
For the purpose of traffic control a piecewise-affine (PWA) approximation of
the METANET model is proposed and tested in a model-based predictive control
(MPC) framework. This approximation is provided as an alternative to the rather
intensive computations when using the original nonlinear nonconvex METANET
traffic flow model extended with a model for vehicular emissions and fuel
consumption in an MPC context. As a direct PWA-MPC computation turned out to be
intractable for on-line applications due to the size of the final, full PWA
model that consists of a large number of PWA regions, the PWA model equations
were additionally converted into a mixed-logical dynamic (MLD) model. The
resulting MLD-MPC problem - written as a mixed-integer linear program (MILP) -
can be solved much more efficiently as it does not explicitly state all model
equations for each particular region. In a simple case study on a traffic
network including a variable speed limit and an un-metered on-ramp while
optimizing the total time spent (TTS), we compared the performance of the
approximate MLD-MPC approach to that of model predictive traffic control when
using the original nonlinear formulation of the METANET model.
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BibTeX
@inproceedings{GroDeS:11-030,
author = {Groot, Noortje and De Schutter, Bart and Zegeye, Solomon Kidane
and Hellendoorn, Hans},
title = {Model-Based Traffic and Emission Control Using {PWA} Models --
{A} Mixed-Logical Dynamic Approach},
booktitle = {Proceedings of the 14th International IEEE Conference on
Intelligent Transportation Systems (ITSC 2011)},
address = {Washington, DC},
pages = {2142--2147},
month = oct,
year = {2011}
}