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Switched max-plus linear-dual inequalities for makespan minimization: the case study of an industrial bakery shop (2211.07601v3)
Published 14 Nov 2022 in math.OC, cs.SY, and eess.SY
Abstract: In this paper, an industrial bakery shop is modeled by switched max-plus linear-dual inequalities (SLDIs). SLDIs are timed discrete event systems suitable for describing flow shops with time-window constraints and switching operating modes, where each mode corresponds to a job type. We consider the scheduling problem of minimizing the makespan of the shop, and we show that the application of methods based on the max-plus algebra leads to a faster solution compared to standard techniques. The results of the paper are general, in the sense that they can be applied to any permutation flow shop with time-window constraints.