Classification and literature review of integrated lot-sizing and cutting stock problems

Autor(es)

Melega, Gislaine Mara ^[1] ; de Araujo, Silvio Alexandre ^[1] ; Jans, Raf ^{[2, 3]}

Afiliação do(s) autor(es)

^[1] UNESP Univ Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil

^[2] HEC Montreal, Montreal, PQ H3T 2A7 - Canada

^[3] CIRRELT, Montreal, PQ H3T 2A7 - Canada

• Tipo de documento: Artigo de Revisão
• Fonte: European Journal of Operational Research; v. 271, n. 1, p. 1-19, NOV 16 2018.
• Citações Web of Science: 7

Resumo

The aim of this paper is to classify the literature related to the integration between the lot-sizing and cutting stock problem. A deterministic mathematical model, that considers multiple dimensions of integration and comprises several aspects found in practice, is proposed. This model is used as a framework to classify the current literature in this field. The main classification of the literature is organized around two types of integration. In a planning horizon which consists of multiple periods, the inventory provides a link between the periods. This integration across time periods constitutes the first type of integration. The proposed model also considers the production of different types of items at three different levels: objects are fabricated or purchased and next cut into pieces which are then assembled into final products. The integration between these three production levels constitutes the second type of integration. The classification indicates that, even though many papers in the current literature analyze an integrated lot-sizing and cutting stock problem, they vary widely with respect to the level of integration on the time and production level dimensions. Furthermore, our analysis indicates that the current models also consider varying assumptions with respect to the inventory, the production capacities and the setups. Finally, we point out some possible interesting areas for future research. (C) 2018 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 14/17273-2 - Métodos de solução para o problema integrado de dimensionamento de lotes e corte de estoque
• Beneficiário: Gislaine Mara Melega
• Linha de fomento: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: José Alberto Cuminato
• Linha de fomento: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
• Processo FAPESP: 16/01860-1 - Problemas de corte, empacotamento, dimensionamento de lotes, programação da produção, roteamento, localização e suas integrações em contextos industriais e logísticos
• Beneficiário: Reinaldo Morabito Neto
• Linha de fomento: Auxílio à Pesquisa - Temático
• Processo FAPESP: 12/20631-2 - O problema integrado de dimensionamento de lotes e corte de estoque
• Beneficiário: Gislaine Mara Melega
• Linha de fomento: Bolsas no Brasil - Doutorado