{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,24]],"date-time":"2026-04-24T06:24:42Z","timestamp":1777011882121,"version":"3.51.4"},"reference-count":45,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2024,3,26]],"date-time":"2024-03-26T00:00:00Z","timestamp":1711411200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"European Structural and Investment Funds","award":["C644913740-00000022"],"award-info":[{"award-number":["C644913740-00000022"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematics"],"abstract":"<jats:p>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\u2019s 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.<\/jats:p>","DOI":"10.3390\/math12070984","type":"journal-article","created":{"date-parts":[[2024,3,26]],"date-time":"2024-03-26T13:16:41Z","timestamp":1711459001000},"page":"984","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Pallet Loading Problem: A Case Study in the Automotive Industry Applying a Simplified Mathematical Model"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6948-1429","authenticated-orcid":false,"given":"Naiara P. V.","family":"Sebbe","sequence":"first","affiliation":[{"name":"CIDEM, ISEP, Polytechnic of Porto, Rua Dr. Ant\u00f3nio Bernardino de Almeida, 4249-015 Porto, Portugal"},{"name":"Department of Mechanical Engineering, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 400, 4200-465 Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8570-4362","authenticated-orcid":false,"given":"Francisco J. G.","family":"Silva","sequence":"additional","affiliation":[{"name":"CIDEM, ISEP, Polytechnic of Porto, Rua Dr. Ant\u00f3nio Bernardino de Almeida, 4249-015 Porto, Portugal"},{"name":"Associate Laboratory for Energy, Transports and Aerospace (LAETA-INEGI), Rua Dr. Roberto Frias, 400, 4200-465 Porto, Portugal"}]},{"given":"Alcinda M. S.","family":"Barreiras","sequence":"additional","affiliation":[{"name":"CIDEM, ISEP, Polytechnic of Porto, Rua Dr. Ant\u00f3nio Bernardino de Almeida, 4249-015 Porto, Portugal"}]},{"given":"Isabel M.","family":"Pinto","sequence":"additional","affiliation":[{"name":"CIDEM, ISEP, Polytechnic of Porto, Rua Dr. Ant\u00f3nio Bernardino de Almeida, 4249-015 Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2160-0609","authenticated-orcid":false,"given":"Rita C. M.","family":"Sales-Contini","sequence":"additional","affiliation":[{"name":"CIDEM, ISEP, Polytechnic of Porto, Rua Dr. Ant\u00f3nio Bernardino de Almeida, 4249-015 Porto, Portugal"},{"name":"Technological College of S\u00e3o Jos\u00e9 dos Campos, Centro Paula Souza, Avenida Cesare Mansueto Giulio Lattes, 1350 Distrito Eug\u00eanio de Melo, S\u00e3o Jos\u00e9 dos Campos 12247-014, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4225-6525","authenticated-orcid":false,"given":"Luis P.","family":"Ferreira","sequence":"additional","affiliation":[{"name":"CIDEM, ISEP, Polytechnic of Porto, Rua Dr. Ant\u00f3nio Bernardino de Almeida, 4249-015 Porto, Portugal"},{"name":"Associate Laboratory for Energy, Transports and Aerospace (LAETA-INEGI), Rua Dr. Roberto Frias, 400, 4200-465 Porto, Portugal"}]},{"given":"Ana B. M.","family":"Machado","sequence":"additional","affiliation":[{"name":"CIDEM, ISEP, Polytechnic of Porto, Rua Dr. Ant\u00f3nio Bernardino de Almeida, 4249-015 Porto, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2024,3,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"101683","DOI":"10.1016\/j.jksus.2021.101683","article-title":"Green Logistics Performance and Infrastructure on Service Trade and Environment-Measuring Firm\u2019s Performance and Service Quality","volume":"34","author":"Yingfei","year":"2022","journal-title":"J. King Saud Univ. Sci."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Tan, B.Q., Wang, F., Liu, J., Kang, K., and Costa, F. (2020). A Blockchain-Based Framework for Green Logistics in Supply Chains. 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