Reference
T. J. J. van den Boom, G. Delgado
Lopes, and B. De Schutter, "A modeling framework for model predictive
scheduling using switching max-plus linear models,"
Proceedings of the 52nd IEEE Conference on Decision and
Control, Florence, Italy, pp. 5456-5461, Dec. 2013.
Abstract
In this paper we discuss a modeling framework for model predictive scheduling
of a class of semi-cyclic discrete event systems that can be described by
switching max-plus linear models. We study the structure of the system matrices
and derive how routing, ordering, and synchronization can be manipulated by a
set of control variables. In addition, we show that this leads to a system
matrix that is linear in the control variables. We define the model predictive
scheduling design problem to optimize the schedule, and we show that the
problem can be recast as a mixed integer linear programming (MILP) problem.
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BibTeX
@inproceedings{vanLop:13-040,
author = {van den Boom, Ton J. J. and Delgado Lopes, Gabriel and De
Schutter, Bart},
title = {A Modeling Framework for Model Predictive Scheduling Using
Switching Max-Plus Linear Models},
booktitle = {Proceedings of the 52nd IEEE Conference on Decision and
Control},
address = {Florence, Italy},
pages = {5456--5461},
month = dec,
year = {2013}
}