Mathematical model and solution approaches for integrated lot-sizing, scheduling and cutting stock problems

Autor(es)

Melega, Gislaine Mara ^[1] ; de Araujo, Silvio Alexandre ^[2] ; Morabito, Reinaldo ^[1]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Carlos, Dept Engn Prod, Rodovia Washington Luis Km 235, BR-13565905 Sao Carlos, SP - Brazil

^[2] Univ Estadual Paulista, Dept Matemat, Inst Biociencias Letras & Ciencias Exatas, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ANNALS OF OPERATIONS RESEARCH; v. 295, n. 2, p. 695-736, DEC 2020.
• Citações Web of Science: 5

Resumo

In this paper, we address a two-stage integrated lot-sizing, scheduling and cutting stock problem with sequence-dependent setup times and setup costs. In production stage one, a cutting machine is used to cut large objects into smaller pieces, in which cutting patterns are generated and used to cut the pieces, and should be sequenced in order to obtain a complete cutting plan for the problem. The cut pieces, from production stage one, are used to assemble final products in production stage two, where the final products are scheduled in order to meet the client's demands. To solve the two-stage integrated problem, we present solution methods based on a price-and-branch approach, in which a column generation procedure is proposed to generate columns and the integer problem is solved by decomposition solution approaches. A computational study is conducted using randomly generated data and an analysis showing the impact of the solution approaches in the two-stage integrated problem is presented. In addition, the performance and benefits of the integrated approach are compared to an empirical simulation of the common practice (sequential approach). (AU)

• Processo FAPESP: 18/19893-9 - Problemas integrados de dimensionamento de lotes e corte de estoque
• Beneficiário: Gislaine Mara Melega
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• 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
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs