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A two-level lot sizing and scheduling problem applied to a cosmetic industry

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Author(s):
Schimidt, Talita M. P. ; Scarpin, Cassius T. ; V. Loch, Gustavo ; Schenekemberg, Cleder M.
Total Authors: 4
Document type: Journal article
Source: Computers & Chemical Engineering; v. 163, p. 14-pg., 2022-07-01.
Abstract

In this paper we address a novel variant of the two-level lot-sizing and scheduling problem inspired by a cosmetic industry in Brazil. In this problem, we seek to optimize production activities in an environment consisting of two dependent levels and an intermediate inventory between them. We consider sequence dependent setup in the first level, non-sequence dependent setup in the second level, and a different number of machines by level. Furthermore, following the mandatory requirements in the cosmetic industry, we also consider that each job must be stored for a minimum time limit and cannot exceeds a maximum time limit in the intermediate inventory. These practical requirements ensure a certain level of quality of the items produced. To solve the problem, we propose Mixed Integer Linear Programming (MILP) formulations and a hybrid exact method combining the traditional Branch and Bound (B&B) algorithm with Local Search (LS) procedures using a sequential framework. Our procedures apply several strategies of the Fix and Optimize (F&O) heuristic and Variable Neighborhood Descent (VND) principles. All methods were evaluated using a set of instances based on a real case scenario. The computational experiments indicated that our hybrid method can achieve competitive solutions, outperforming the results provided by the optimization of the MILP model. (c) 2022 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 20/07145-8 - Development of a hybrid metaheuristic with adaptive control flow and parameters
Grantee:Cleder Marcos Schenekemberg
Support Opportunities: Scholarships in Brazil - Post-Doctoral