Abstract:
We introduce a new approach for the reactive scheduling of production systems with
uncertain parameters of bounded form. The proposed method follows a state-space representation
for the scheduling problem, and relies on the use of a rolling horizon framework and multiparametric
programming (mp) techniques. We show that by considering as uncertain parameters the set of variables
that describe the state of the system at the beginning of the prediction horizon, we can effectively formulate
a set of state-space mp problems that are solved just once and offline. In contrast to existing methods,
the repetitive solution of a new mp after each disruptive event is avoided. The results of the parametric
optimization are used in a rolling horizon basis without the need for online optimization. The proposed
mp rolling horizon (mpRH) approach is applied in the scheduling of a network of combined heat and
power (CHP) units.
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