On the packing process in a shoe manufacturer

• Autor(a) principal: Vieira, Manuel V. C.
• Data de Publicação: 2020
• Outros Autores: Ferreira, Flora, Duque, José C. M., Almeida, Rui M.P.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10400.6/9669
• topic: Packing; Practice of OR; Non-linear programming

This paper addresses a shoe packing problem that is motivated by an industry applicationand involves two main stages: (i) packing shoes into suitable boxes and (ii) loading thepacked shoes into three dimensional open-dimension containers. This is the first study deal-ing with the packing of small boxes into several containers where each container has allthree dimensions open. Assigning shoes to a minimum number of box types is achievedusing a 0–1 program, whereas the loading problem is tackled via a mixed-integer nonlinearprogram that minimizes the total volume of the container. That latter model is linearized byusing a simple summation of the container dimensions, which is compared against a moreelaborated linearization scheme. The effectiveness and efficiency of the proposed schemeare demonstrated with numerical experiments using real-world instances.