**Reference:**

M. Hajiahmadi,
J. Haddad,
B. De Schutter, and
N. Geroliminis,
"Optimal hybrid macroscopic traffic control for urban regions:
Perimeter and switching signal plans controllers," *Proceedings of
the 2013 European Control Conference*, Zürich, Switzerland,
pp. 3500-3505, July 2013.

**Abstract:**

The dynamics of a heterogeneous large-scale urban network is modeled
as R homogeneous regions with the macroscopic fundamental diagrams
(MFDs) representations. The MFD provides for homogeneous network
regions a unimodal, low-scatter relationship between network vehicle
density and network space-mean flow. In this paper, the optimal hybrid
control problem for an R-region MFD network is formulated as a mixed
integer nonlinear optimization problem, where two types of controllers
are introduced: (i) perimeter controllers, and (ii) switching signal
timing plans controllers. The perimeter controllers are located on the
border between the regions, as they manipulate the transfer flows
between them, while the switching controllers control the dynamics of
the urban regions, as they define the shape of the MFDs, and as a
result affect the internal flows within each region. Moreover, to
decrease the computational complexity due to the nonlinear and
non-convex nature of the formulated optimization problem, we re-write
the problem as a mixed integer linear problem utilizing a piecewise
affine approximation technique. The performance of the two problems is
evaluated and compared for different traffic scenarios for a
two-region urban case study.

Corresponding technical report: pdf file (585 KB)

@inproceedings{HajHad:13-022,

author={M. Hajiahmadi and J. Haddad and B. {D}e Schutter and N. Geroliminis},

title={Optimal hybrid macroscopic traffic control for urban regions: Perimeter and switching signal plans controllers},

booktitle={Proceedings of the 2013 European Control Conference},

address={Z\"urich, Switzerland},

pages={3500--3505},

month=jul,

year={2013}

}

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