Two-stage stochastic/robust scheduling based on permutable operation groups

Louis Riviere (), Christian Artigues and Hélène Fargier
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Louis Riviere: Université de Toulouse
Christian Artigues: Université de Toulouse
Hélène Fargier: Université de Toulouse

Annals of Operations Research, 2024, vol. 332, issue 1, No 23, 645-687

Abstract: Abstract In this paper we study the performance of a two-stage approach to scheduling under uncertainty making use of sequences of groups of permutable operations. Given a sample set of uncertainty realization scenarios, the goal is to compute a sequence of groups of permutable operations representing a partial scheduling decision in the first-stage, that yields the best possible score in the second-stage, when, for a specific scenario, a full operation sequence is obtained via a second-stage decision policy. This approach is described for a single-machine problem and the jobshop problem with stochastic and robust optimization, as well as several commonly studied objectives. We propose new constraint programming models as well as a genetic algorithm meta-heuristic to compute such two-stage solutions. We also investigate a warm-start scheme to work around the difficult search space of sequences of permutable operations. Experiments are carried out to characterize when this two-stage approach yields better results. We also compare the introduced methods with existing ones. Theoretical extensions of the known methods are also described and evaluated.

Keywords: Stochastic and robust 2-stage scheduling; Permutable operation groups; Constraint programming (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10479-023-05639-1

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