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A branch-and-cut algorithm for the irregular strip packing problem with uncertain demands

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Autor(es):
de Souza Queiroz, Layane Rodrigues ; Andretta, Marina
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: International Transactions in Operational Research; v. 29, n. 6, p. 28-pg., 2022-02-07.
Resumo

This work presents a tailored branch-and-cut algorithm for the two-dimensional irregular strip packing problem with uncertain demand for the items to be cut. A two-stage stochastic programming model is developed, considering a discrete and finite set of scenarios. The strip is discretized over a mesh of points in the model and includes constraints to ensure items are non-overlapping based on the concepts of inner-fit raster and no-fit raster. The algorithm considers lower and upper bounds from a heuristic based on the variable neighborhood search. This heuristic is also used during optimization to obtain new solutions and help to prune unsatisfactory nodes. The numerical results indicate the effectiveness of the proposed algorithm when observing other exact algorithms on the same problem without uncertainty. The algorithm can also provide optimal solutions for instances with uncertainty having more than 60 scenarios within some hours of execution. Besides, the conclusions show it is preferable to handle uncertainty to achieve minimum cost decisions. (AU)

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
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: 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