**Reference:**

M. Hajiahmadi,
J. Haddad,
B. De Schutter, and
N. Geroliminis,
"Optimal hybrid perimeter and switching plans control for urban
traffic networks," *IEEE Transactions on Control Systems
Technology*, vol. 23, no. 2, pp. 464-478, Mar. 2015.

**Abstract:**

Since centralized control of urban networks with detailed modeling
approaches is computationally complex, developing efficient
hierarchical control strategies based on aggregate modeling is of
great importance. The dynamics of a heterogeneous large-scale urban
network is modeled as R homogeneous regions with the macroscopic
fundamental diagrams (MFDs) representation. 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 influence 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 optimization
problem, we reformulate the problem as a mixed integer linear
programming (MILP) problem utilizing piecewise affine approximation
techniques. Two different approaches for transformation of the
original model and building up MILP problems are presented, and the
performances of the approximated methods along with the original
problem formulation are evaluated and compared for different traffic
scenarios of a two-region urban case study.

Online version of the paper

Corresponding technical report: pdf file (1.46 MB)

@article{HajHad:14-012,

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

title={Optimal hybrid perimeter and switching plans control for urban traffic networks},

journal={IEEE Transactions on Control Systems Technology},

volume={23},

number={2},

pages={464--478},

month=mar,

year={2015},

doi={10.1109/TCST.2014.2330997}

}

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