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LOT SIZING AND CUTTING STOCK PROBLEMS IN A PAPER PRODUCTION PROCESS

Authors :
Kelly Cristina Poldi
Livia Maria Pierini
Source :
Pesquisa Operacional v.41 n.spe 2021, Pesquisa operacional, Sociedade Brasileira de Pesquisa Operacional (SOBRAPO), instacron:SOBRAPO, Pesquisa Operacional, Vol 41, Iss spe (2021)
Publication Year :
2021
Publisher :
Sociedade Brasileira de Pesquisa Operacional, 2021.

Abstract

In many manufacturing industries, the production process involves the production of objects and the cutting of such objects into smaller pieces in order to meet a specific demand. In the optimization of these processes, one can identify the lot sizing and the cutting stock problems. In the literature, these problems are mostly separately dealt. However, treating these two problems in an integrated approach can decrease overall costs. In this research, we deal with the coupled lot sizing and cutting stock problem. It is proposed a mathematical formulation for the production and cutting of paper based on a real case, which considers setup costs and limited machine capacity in the production process of the objects. For the solution of the proposed model, we used a column generation approach and a relax-and-fix heuristic. Computational tests were carried out in order to analyze the methodology used in the resolution of the model. The results showed to be competitive in a reasonable computational time.

Details

Language :
English
Database :
OpenAIRE
Journal :
Pesquisa Operacional v.41 n.spe 2021, Pesquisa operacional, Sociedade Brasileira de Pesquisa Operacional (SOBRAPO), instacron:SOBRAPO, Pesquisa Operacional, Vol 41, Iss spe (2021)
Accession number :
edsair.doi.dedup.....e359894ec5fb012085da5ec312e8e3d5