MIP approaches for a lot sizing and scheduling problem on multiple production lines with scarce resources, temporary workstations, and perishable products

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Soler, Willy A. O. and Santos, Maristela O. and Akartunali, Kerem (2021) MIP approaches for a lot sizing and scheduling problem on multiple production lines with scarce resources, temporary workstations, and perishable products. Journal of the Operational Research Society, 72 (8). pp. 1691-1706. ISSN 0160-5682 (https://doi.org/10.1080/01605682.2019.1640588)

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Abstract

This paper addresses a lot sizing and scheduling problem inspired from a real-world production environment apparent in food industry. Due to the scarcity of resources, only a subset of production lines can operate simultaneously, and those lines need to be assembled in each production period. In addition, the products are perishable, and there are often significant sequence-dependent setup times and costs. We first propose a standard mixed integer programming model for the problem, and then a reformulation of the standard model in order to allow us to define a branching rule to accelerate the performance of the branch-and-bound algorithm. We also propose an efficient relax-and-fix procedure that can provide high-quality feasible solutions and competitive dual bounds for the problem. Computational experiments indicate that our approaches provide superior results when benchmarked with a commercial solver and an established relax-and-fix heuristic from the literature.

ORCID iDs

Soler, Willy A. O., Santos, Maristela O. and Akartunali, Kerem ORCID logoORCID: https://orcid.org/0000-0003-0169-3833;
CORE (COnnecting REpositories)