The two-dimensional cutting stock problem with usable leftovers: mathematical modelling and heuristic approaches

Autor(es)

do Nascimento, Douglas Nogueira ; Cherri, Adriana Cristina ; Oliveira, Jose Fernando

• Tipo de documento: Artigo Científico
• Fonte: OPERATIONAL RESEARCH; v. 22, n. 5, p. 41-pg., 2022-08-06.

Resumo

Different variations of the classic cutting stock problem (CSP) have emerged and presented increasingly complex challenges for scientists and researchers. One of these variations, which is the central subject of this work, is the two-dimensional cutting stock problem with usable leftovers (2D-CSPUL). In these problems, leftovers can be generated to reduce waste. This technique has great practical importance for many companies, with a strong economic and environmental impact. In this paper, a non-linear mathematical model and its linearization are proposed to represent the 2D-CSPUL. Due to the complexity of the model, a heuristic procedure was also proposed. Computational tests were performed with instances from the literature and randomly generated instances. The results demonstrate that the proposed model and the heuristic procedure satisfactorily solve the problem, proving to be adequate and beneficial tools when applied to real situations. (AU)

• Processo FAPESP: 19/25041-8 - O problema de corte bidimensional com sobras aproveitáveis e incerteza na demanda
• Beneficiário: Douglas Nogueira Do Nascimento
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado Direto
• Processo FAPESP: 18/07240-0 - Incerteza em problemas de cortes e empacotamentos: planeamento robusto e replaneamento otimizado na produção e nos transportes
• Beneficiário: Franklina Maria Bragion de Toledo
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 18/16600-0 - O problema de corte bidimensional com sobras aproveitáveis e incerteza na demanda
• Beneficiário: Douglas Nogueira Do Nascimento
• Modalidade de apoio: Bolsas no Brasil - Doutorado Direto
• 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