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A MIP formulation for the minmax regret total completion time in scheduling with unrelated parallel machines. (English) Zbl 1293.90024
Summary: The paper proposes a mixed integer programming (MIP) formulation of the scheduling problem with total flow criterion on a set of parallel unrelated machines under an uncertainty context about the processing times. To model the problem we assume that lower and upper bounds are known for each processing time. In this context we consider an optimal minmax regret schedule as a suitable approximation to the optimal schedule under an arbitrary choice of the possible processing times.

90B35 Deterministic scheduling theory in operations research
90C11 Mixed integer programming
Full Text: DOI
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