Reference
M. van den Berg, B. De Schutter, A. Hegyi, and H. Hellendoorn, "Day-to-day
route choice control in traffic networks with time-varying demand profiles,"
Proceedings of the European Control Conference 2009,
Budapest, Hungary, pp. 1776-1781, Aug. 2009.
Abstract
We develop a day-to-day route choice control method that is based on model
predictive control (MPC). To influence the route choice of drivers we propose
to use traffic control measures like variable speed limits or outflow control.
In previous papers we have developed MPC for route choice control in the case
of a constant demand. In this paper we consider the case of a time-varying
demand. The resulting MPC optimization problem is in general nonlinear and
nonconvex. However, in the case of outflow control and for a linear or a
piecewise affine cost function it is possible to approximate the problem and to
recast it as a mixed integer linear programming (MILP) problem, for which
efficient branch-and-bound solvers are available. The solution of the MILP
problem can then be used as a good initial starting point for a nonlinear
optimization method for the original MPC optimization problem. We also
illustrate the proposed approach for a simple simulation example involving
outflow control.
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BibTeX
@inproceedings{vanDeS:08-029,
author = {van den Berg, Monique and De Schutter, Bart and Hegyi, Andreas
and Hellendoorn, Hans},
title = {Day-to-Day Route Choice Control in Traffic Networks with
Time-Varying Demand Profiles},
booktitle = {Proceedings of the European Control Conference 2009},
address = {Budapest, Hungary},
pages = {1776--1781},
month = aug,
year = {2009}
}