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.
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BibTeX
@article{HajHad:14-012,
author = {Hajiahmadi, Mohammad and Haddad, Jack and De Schutter, Bart and
Geroliminis, Nikolas},
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}
}