A Decomposition-Based Local Search Algorithm for Multi-Objective Sequence Dependent Setup Times Permutation Flowshop Scheduling

Murilo Zangari, Ademir Aparecido Constantino, Josu Ceberio

Abstract: The ftowshop scheduling problem (FSP) has been widely studied in the last decades, both in the single objective as well as in the multi-objective scenario. Besides, due to the real-world considerations on scheduling problems, the concern regarding sequence-dependent setup times has emerged. In this paper, we present a decomposition-based iterated local search algorithm (MOLS/D) to deal with the multi-objective sequence-dependent setup times permutation FSP. In order to demonstrate the validity of the proposed algorithm, we have conducted an experimental study on a set of 220 benchmark instances minimizing the criteria makespan and total weighted tardiness. The results, according to various performance metrics and statistical analysis, show that MOLS/D significantly outperforms a tailored MOEA/D variant and the best-known reference sets from the literature. Thus, we have established a state-of-the-art approach for the problem considered.