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Lagrangian-based heuristics for production planning with perishable products, scarce resources, and sequence-dependent setup times

Willy A. Oliveira Soler (), Maristela O. Santos () and Kerem Akartunalı ()
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Willy A. Oliveira Soler: Universidade Federal de Mato Grosso do Sul
Maristela O. Santos: Universidade de São Paulo
Kerem Akartunalı: University of Strathclyde

Journal of Heuristics, 2025, vol. 31, issue 1, No 1, 35 pages

Abstract: Abstract In this paper, we study a lot-sizing and scheduling problem apparent in the food industry that stemmed originally from the Brazilian meat production sector. More specifically, we consider a production environment in which various production lines share a set of scarce production resources. Therefore, only a subset of the existing production lines can simultaneously operate in each period under the limitations of the availability of resources. Moreover, we consider sequence-dependent setup times and costs, significant inventory holding costs, backlogging, and perishable products. The problem is formulated as a mixed integer programming model, and we propose four Lagrangian-based heuristics to find high-quality solutions for challenging instances. A computational study shows that proposed approaches are very competitive in solving the problem, outperforming methods already established in the literature.

Keywords: Lagrangian heuristic; Production planning; Scarce resources; Perishable products; 90C11 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10732-024-09539-w

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