A Mixed Integer Programming Formulation for the Total Flow Time Single Machine Robust Scheduling Problem with Interval Data |
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Authors: | Roberto Montemanni |
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Institution: | (1) Istituto Dalle Molle di Studi sull’Intelligenza Artificiale (IDSIA), Galleria 2, CH-6928 Lugano-Manno, Switzerland |
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Abstract: | We consider a version of the total flow time single machine scheduling problem where uncertainty about processing times is
taken into account. Namely an interval of equally possible processing times is considered for each job, and optimization is
carried out according to a robustness criterion. We propose the first mixed integer linear programming formulation for the
resulting optimization problem and we explain how some known preprocessing rules can be translated into valid inequalities
for this formulation. Computational results are finally presented.
Work funded by the Swiss National Science Foundation through project 200020-109854/1. |
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Keywords: | 90B35 90C47 90C11 |
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