An extension of Queiroz and Miyazawa's method for vertical stability in two-dimensional packing problems to deal with horizontal stability

Autor(es)

Queiroz, Thiago A. ^[1] ; Bracht, Evandro C. ^[2] ; Miyazawa, Flavio K. ^[2] ; Bittencourt, Marco L. ^[3]

Afiliação do(s) autor(es)

^[1] Fed Univ Goias Catalao, Inst Math & Technol, Catalao - Brazil

^[2] Univ Estadual Campinas, Inst Comp, Campinas, SP - Brazil

^[3] Univ Estadual Campinas, Fac Mech Engn, Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ENGINEERING OPTIMIZATION; v. 51, n. 6, p. 1049-1070, JUN 3 2019.
• Citações Web of Science: 1

Resumo

A method to handle the cargo horizontal stability in two-dimensional packing problems is proposed. Mechanical equilibrium concepts are used to assess the cargo stability at which vertical and horizontal forces act on packing. The proposed method improves the methods based on either a support factor for an item's lateral sides or the number of supporting sides that cannot guarantee the stability. The method deals with the horizontal stability for which there is no other method based on the mechanical equilibrium. It is proved that the proposed method has the worst-case time complexity of , therefore improving a previous result in the literature. Numerical experiments are provided over instances of the two-dimensional knapsack problem. For that, an exact two-level algorithm is developed and it obtained the optimal stable solution of of the instances. (AU)

• 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: 15/11937-9 - Investigação de problemas difíceis do ponto de vista algorítmico e estrutural
• Beneficiário: Flávio Keidi Miyazawa
• Linha de fomento: Auxílio à Pesquisa - Temático
• Processo FAPESP: 16/23552-7 - Problemas de Corte e Empacotamento: Abordagens Práticas e Teóricas
• Beneficiário: Rafael Crivellari Saliba Schouery
• Linha de fomento: Auxílio à Pesquisa - Regular