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On the packing process in a shoe manufacturer

Author

Listed:
  • Manuel V. C. Vieira
  • Flora Ferreira
  • José C. M. Duque
  • Rui M. P. Almeida

Abstract

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

Suggested Citation

  • Manuel V. C. Vieira & Flora Ferreira & José C. M. Duque & Rui M. P. Almeida, 2021. "On the packing process in a shoe manufacturer," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(4), pages 853-864, March.
    • Handle: RePEc:taf:tjorxx:v:72:y:2021:i:4:p:853-864
    DOI: 10.1080/01605682.2019.1700765
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    Cited by:

    1. Manuel V. C. Vieira & Margarida Carvalho, 2023. "Lexicographic optimization for the multi-container loading problem with open dimensions for a shoe manufacturer," 4OR, Springer, vol. 21(3), pages 491-512, September.

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