On the packing process in a shoe manufacturer
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 bo...
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| Other Authors: | , , |
| Format: | article |
| Language: | eng |
| Published: |
2020
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10400.6/9669 |
| Country: | Portugal |
| Oai: | oai:ubibliorum.ubi.pt:10400.6/9669 |
| Summary: | 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. |
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