Mathematics (Mar 2024)

Pallet Loading Problem: A Case Study in the Automotive Industry Applying a Simplified Mathematical Model

  • Naiara P. V. Sebbe,
  • Francisco J. G. Silva,
  • Alcinda M. S. Barreiras,
  • Isabel M. Pinto,
  • Rita C. M. Sales-Contini,
  • Luis P. Ferreira,
  • Ana B. M. Machado

DOI
https://doi.org/10.3390/math12070984
Journal volume & issue
Vol. 12, no. 7
p. 984

Abstract

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Logistics and the supply chain are areas of great importance within organizations. Due to planning gaps, an increase in extra and unnecessary transport costs is usually observed in several companies due to their commercial commitments and need to comply with the delivery time and the batch quantity of products, leading to a negative economic impact. Thus, the objective of this work was to adjust an optimization model to maximize the shipments usually carried out by the companies. To validate the model, an automotive components manufacturer was selected, allowing us to apply the model to a real case study and evaluate the advantages and drawbacks of this tool. It was found that the company to validate the model exports most of its products, and most pallets sent are not fully optimized, generating excessive expense for the company in terms of urgent transport. To solve this problem, two mathematical optimization models were used for the company’s current reality, optimizing the placement of boxes per pallet and customer. With the use of the new tool, it was possible to determine that five pallets should be sent to the customer weekly, which correspond to their needs, and that have the appropriate configurations so that the pallet is sent completely.

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