On the packing process in a shoe manufacturer

Manuel V. C. Vieira, Flora Ferreira, José C. M. Duque and Rui M. P. Almeida

Journal of the Operational Research Society, 2021, vol. 72, issue 4, 853-864

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.

Date: 2021
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DOI: 10.1080/01605682.2019.1700765

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