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Complexity Constraint in the Distributor’s Pallet Loading Problem

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Listed:
  • Hugo Barros

    (Centre for Research & Development in Mechanical Engineering (CIDEM), School of Engineering, Polytechnic of Porto, 4200-072 Porto, Portugal)

  • Teresa Pereira

    (Centre for Research & Development in Mechanical Engineering (CIDEM), School of Engineering, Polytechnic of Porto, 4200-072 Porto, Portugal
    Institute of Mechanical Engineering and Industrial Management (INEGI), School of Engineering, Polytechnic of Porto, 4200-465 Porto, Portugal)

  • António G. Ramos

    (Institute for Systems and Computer Engineering, Technology and Science (INESC-TEC), School of Engineering, Polytechnic of Porto, 4249-015 Porto, Portugal)

  • Fernanda A. Ferreira

    (Applied Management Research Unit (UNIAG), School of Hospitality and Tourism, Polytechnic of Porto, 4480-876 Vila do Conde, Portugal)

Abstract

This paper presents a study on the complexity of cargo arrangements in the pallet loading problem. Due to the diversity of perspectives that have been presented in the literature, complexity is one of the least studied practical constraints. In this work, we aim to refine and propose a new set of metrics to measure the complexity of an arrangement of cargo in a pallet. The parameters are validated using statistical methods, such as principal component analysis and multiple linear regression, using data retrieved from the company logistics. Our tests show that the number of boxes was the main variable responsible for explaining complexity in the pallet loading problem.

Suggested Citation

  • Hugo Barros & Teresa Pereira & António G. Ramos & Fernanda A. Ferreira, 2021. "Complexity Constraint in the Distributor’s Pallet Loading Problem," Mathematics, MDPI, vol. 9(15), pages 1-20, July.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1742-:d:600128
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    References listed on IDEAS

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    1. Dowsland, Kathryn A., 1993. "Some experiments with simulated annealing techniques for packing problems," European Journal of Operational Research, Elsevier, vol. 68(3), pages 389-399, August.
    2. Bortfeldt, Andreas & Wäscher, Gerhard, 2013. "Constraints in container loading – A state-of-the-art review," European Journal of Operational Research, Elsevier, vol. 229(1), pages 1-20.
    3. Riccardo Accorsi & Giulia Baruffaldi & Riccardo Manzini & Chiara Pini, 2019. "Environmental Impacts of Reusable Transport Items: A Case Study of Pallet Pooling in a Retailer Supply Chain," Sustainability, MDPI, vol. 11(11), pages 1-13, June.
    4. Aline Dresch & Daniel Pacheco Lacerda & José Antônio Valle Antunes Jr, 2015. "Design Science Research," Springer Books, Springer, edition 127, number 978-3-319-07374-3, September.
    5. Martins, Gustavo H.A. & Dell, Robert F., 2008. "Solving the pallet loading problem," European Journal of Operational Research, Elsevier, vol. 184(2), pages 429-440, January.
    6. R Morabito & S Morales, 1998. "A simple and effective recursive procedure for the manufacturer's pallet loading problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 49(8), pages 819-828, August.
    7. Dyckhoff, Harald, 1990. "A typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 44(2), pages 145-159, January.
    8. Bischoff, E. E. & Ratcliff, M. S. W., 1995. "Issues in the development of approaches to container loading," Omega, Elsevier, vol. 23(4), pages 377-390, August.
    9. Kocjan, W. & Holmström, K., 2010. "Computing stable loads for pallets," European Journal of Operational Research, Elsevier, vol. 207(2), pages 980-985, December.
    10. Aline Dresch & Daniel Pacheco Lacerda & José Antônio Valle Antunes, 2015. "Design Science Research," Springer Books, in: Design Science Research, edition 127, chapter 0, pages 67-102, Springer.
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