IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v18y2025i2p268-d1563454.html
   My bibliography  Save this article

Combined Rough Sets and Rule-Based Expert System to Support Environmentally Oriented Sandwich Pallet Loading Problem

Author

Listed:
  • Piotr Sawicki

    (Institute of Transport, Poznan University of Technology, 61-138 Poznań, Poland)

  • Hanna Sawicka

    (Institute of Transport, Poznan University of Technology, 61-138 Poznań, Poland)

  • Marek Karkula

    (Department of Business Informatics and Management Engineering, AGH University of Krakow, 30-067 Kraków, Poland)

  • Krzysztof Zajda

    (Grupa Maspex, 34-100 Wadowice, Poland)

Abstract

A sandwich pallet loading problem represents a significant challenge in the logistics of fast-moving consumer goods (FMCG), requiring optimisation of load units (LUs) arrangements to minimise their number in transportation and warehousing processes, leading to an environmental responsibility of organisations. This study introduces an innovative approach combining Dominance-Based Rough Set Theory (DRST) with a rule-based expert system to improve the efficiency of the pallet loading and to provide sustainable development. Key criteria and attributes for the LU assessment, such as weight, height, and fragility, are defined. DRST is utilised to classify these units, leveraging its capability to handle imprecise and vague information. The rule-based system ensures an optimal arrangement of LUs by considering critical control parameters, thereby reducing LU numbers and mitigating the environmental impact of logistics operations, as measured by energy consumption. The proposed approach is validated using real-world data from the FMCG distribution company. Results demonstrate that integrating DRST with an expert system improves decision-making consistency and significantly reduces the number of LUs. This study shows a way to increase the level of environmental responsibility of the organisation by cutting energy consumption and delivering economic and social benefits through fewer shipments. For example, the approach reduces energy consumption for a customer order delivery by 40%, from 0.60 to 0.36 (kWh/pskm).

Suggested Citation

  • Piotr Sawicki & Hanna Sawicka & Marek Karkula & Krzysztof Zajda, 2025. "Combined Rough Sets and Rule-Based Expert System to Support Environmentally Oriented Sandwich Pallet Loading Problem," Energies, MDPI, vol. 18(2), pages 1-48, January.
  • Handle: RePEc:gam:jeners:v:18:y:2025:i:2:p:268-:d:1563454
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/18/2/268/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/18/2/268/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Leao, Aline A.S. & Toledo, Franklina M.B. & Oliveira, José Fernando & Carravilla, Maria Antónia & Alvarez-Valdés, Ramón, 2020. "Irregular packing problems: A review of mathematical models," European Journal of Operational Research, Elsevier, vol. 282(3), pages 803-822.
    2. Yaqoob, Ibrar & Hashem, Ibrahim Abaker Targio & Gani, Abdullah & Mokhtar, Salimah & Ahmed, Ejaz & Anuar, Nor Badrul & Vasilakos, Athanasios V., 2016. "Big data: From beginning to future," International Journal of Information Management, Elsevier, vol. 36(6), pages 1231-1247.
    3. Blaszczynski, Jerzy & Greco, Salvatore & Slowinski, Roman, 2007. "Multi-criteria classification - A new scheme for application of dominance-based decision rules," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1030-1044, September.
    4. Greco, Salvatore & Matarazzo, Benedetto & Slowinski, Roman, 2001. "Rough sets theory for multicriteria decision analysis," European Journal of Operational Research, Elsevier, vol. 129(1), pages 1-47, February.
    5. Dekker, Rommert & Bloemhof, Jacqueline & Mallidis, Ioannis, 2012. "Operations Research for green logistics – An overview of aspects, issues, contributions and challenges," European Journal of Operational Research, Elsevier, vol. 219(3), pages 671-679.
    6. María Teresa Ballestar & Pilar Grau-Carles & Jorge Sainz, 2019. "Predicting customer quality in e-commerce social networks: a machine learning approach," Review of Managerial Science, Springer, vol. 13(3), pages 589-603, June.
    7. Mhand Hifi & Rym M'Hallah, 2009. "A Literature Review on Circle and Sphere Packing Problems: Models and Methodologies," Advances in Operations Research, Hindawi, vol. 2009, pages 1-22, July.
    8. Azibi, R. & Vanderpooten, D., 2002. "Construction of rule-based assignment models," European Journal of Operational Research, Elsevier, vol. 138(2), pages 274-293, April.
    9. Baldo, Alessandro & Boffa, Matteo & Cascioli, Lorenzo & Fadda, Edoardo & Lanza, Chiara & Ravera, Arianna, 2023. "The polynomial robust knapsack problem," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1424-1434.
    10. Chun-Che Huang & Wen-Yau Liang & Tzu-Liang Tseng & Ping-Houa Chen, 2016. "The rough set based approach to generic routing problems: case of reverse logistics supplier selection," Journal of Intelligent Manufacturing, Springer, vol. 27(4), pages 781-795, August.
    11. Delorme, Maxence & Iori, Manuel & Martello, Silvano, 2016. "Bin packing and cutting stock problems: Mathematical models and exact algorithms," European Journal of Operational Research, Elsevier, vol. 255(1), pages 1-20.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fernandez, Eduardo & Navarro, Jorge & Bernal, Sergio, 2010. "Handling multicriteria preferences in cluster analysis," European Journal of Operational Research, Elsevier, vol. 202(3), pages 819-827, May.
    2. Pawel Lezanski & Maria Pilacinska, 2018. "The dominance-based rough set approach to cylindrical plunge grinding process diagnosis," Journal of Intelligent Manufacturing, Springer, vol. 29(5), pages 989-1004, June.
    3. Azam, Nouman & Zhang, Yan & Yao, JingTao, 2017. "Evaluation functions and decision conditions of three-way decisions with game-theoretic rough sets," European Journal of Operational Research, Elsevier, vol. 261(2), pages 704-714.
    4. Hu, Qiwei & Chakhar, Salem & Siraj, Sajid & Labib, Ashraf, 2017. "Spare parts classification in industrial manufacturing using the dominance-based rough set approach," European Journal of Operational Research, Elsevier, vol. 262(3), pages 1136-1163.
    5. Julio Cezar Soares Silva & Diogo Ferreira de Lima Silva & Luciano Ferreira & Adiel Teixeira de Almeida-Filho, 2022. "A dominance-based rough set approach applied to evaluate the credit risk of sovereign bonds," 4OR, Springer, vol. 20(1), pages 139-164, March.
    6. Oppio, Alessandra & Dell’Ovo, Marta & Torrieri, Francesca & Miebs, Grzegorz & Kadziński, Miłosz, 2020. "Understanding the drivers of Urban Development Agreements with the rough set approach and robust decision rules," Land Use Policy, Elsevier, vol. 96(C).
    7. Liou, James J.H. & Yen, Leon & Tzeng, Gwo-Hshiung, 2010. "Using decision rules to achieve mass customization of airline services," European Journal of Operational Research, Elsevier, vol. 205(3), pages 680-686, September.
    8. Fernández, Eduardo & Figueira, José Rui & Navarro, Jorge & Solares, Efrain, 2023. "A generalized approach to ordinal classification based on the comparison of actions with either limiting or characteristic profiles," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1309-1322.
    9. Iori, Manuel & de Lima, Vinícius L. & Martello, Silvano & Miyazawa, Flávio K. & Monaci, Michele, 2021. "Exact solution techniques for two-dimensional cutting and packing," European Journal of Operational Research, Elsevier, vol. 289(2), pages 399-415.
    10. Tlili, Ali & Belahcène, Khaled & Khaled, Oumaima & Mousseau, Vincent & Ouerdane, Wassila, 2022. "Learning non-compensatory sorting models using efficient SAT/MaxSAT formulations," European Journal of Operational Research, Elsevier, vol. 298(3), pages 979-1006.
    11. Chakhar, Salem & Ishizaka, Alessio & Labib, Ashraf & Saad, Inès, 2016. "Dominance-based rough set approach for group decisions," European Journal of Operational Research, Elsevier, vol. 251(1), pages 206-224.
    12. Fernandez, Eduardo & Navarro, Jorge & Bernal, Sergio, 2009. "Multicriteria sorting using a valued indifference relation under a preference disaggregation paradigm," European Journal of Operational Research, Elsevier, vol. 198(2), pages 602-609, October.
    13. Yuan Li & Xiuwu Liao & Wenhong Zhao, 2009. "A rough set approach to knowledge discovery in analyzing competitive advantages of firms," Annals of Operations Research, Springer, vol. 168(1), pages 205-223, April.
    14. Sawicki, Piotr & Zak, Jacek, 2009. "Technical diagnostic of a fleet of vehicles using rough set theory," European Journal of Operational Research, Elsevier, vol. 193(3), pages 891-903, March.
    15. Szeląg, Marcin & Słowiński, Roman, 2024. "Explaining and predicting customer churn by monotonic rules induced from ordinal data," European Journal of Operational Research, Elsevier, vol. 317(2), pages 414-424.
    16. Bouzayane, Sarra & Saad, Inès, 2020. "A multicriteria approach based on rough set theory for the incremental Periodic prediction," European Journal of Operational Research, Elsevier, vol. 286(1), pages 282-298.
    17. Atteya, T.E.M. & Chakhar, Salem & Labib, Ashraf & Cox, Adam & Ishizaka, Alessio, 2024. "Estimating relative importance of criteria by post-processing dominance-based rough set approach’s outputs," European Journal of Operational Research, Elsevier, vol. 315(3), pages 1096-1122.
    18. Lejeune, Miguel & Lozin, Vadim & Lozina, Irina & Ragab, Ahmed & Yacout, Soumaya, 2019. "Recent advances in the theory and practice of Logical Analysis of Data," European Journal of Operational Research, Elsevier, vol. 275(1), pages 1-15.
    19. Chakhar, Salem & Ishizaka, Alessio & Thorpe, Andy & Cox, Joe & Nguyen, Thang & Ford, Liz, 2020. "Calculating the relative importance of condition attributes based on the characteristics of decision rules and attribute reducts: Application to crowdfunding," European Journal of Operational Research, Elsevier, vol. 286(2), pages 689-712.
    20. Werner, Christoph & Bedford, Tim & Cooke, Roger M. & Hanea, Anca M. & Morales-Nápoles, Oswaldo, 2017. "Expert judgement for dependence in probabilistic modelling: A systematic literature review and future research directions," European Journal of Operational Research, Elsevier, vol. 258(3), pages 801-819.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:18:y:2025:i:2:p:268-:d:1563454. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.