{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T11:28:53Z","timestamp":1771673333936,"version":"3.50.1"},"reference-count":55,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2024,10,29]],"date-time":"2024-10-29T00:00:00Z","timestamp":1730160000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Vice-rectorate for Research, Creation, and Innovation\u2014VINCI\u2014of the Pontificia Universidad Cat\u00f3lica de Valpara\u00edso\u2014PUCV\u2014","award":["VINCI 039.470\/2024"],"award-info":[{"award-number":["VINCI 039.470\/2024"]}]},{"name":"Vice-rectorate for Research, Creation, and Innovation\u2014VINCI\u2014of the Pontificia Universidad Cat\u00f3lica de Valpara\u00edso\u2014PUCV\u2014","award":["VINCI 039.493\/2024"],"award-info":[{"award-number":["VINCI 039.493\/2024"]}]},{"name":"Vice-rectorate for Research, Creation, and Innovation\u2014VINCI\u2014of the Pontificia Universidad Cat\u00f3lica de Valpara\u00edso\u2014PUCV\u2014","award":["VINCI 039.309\/2024"],"award-info":[{"award-number":["VINCI 039.309\/2024"]}]},{"name":"Vice-rectorate for Research, Creation, and Innovation\u2014VINCI\u2014of the Pontificia Universidad Cat\u00f3lica de Valpara\u00edso\u2014PUCV\u2014","award":["FONDECYT 1200525"],"award-info":[{"award-number":["FONDECYT 1200525"]}]},{"name":"Vice-rectorate for Research, Creation, and Innovation\u2014VINCI\u2014of the Pontificia Universidad Cat\u00f3lica de Valpara\u00edso\u2014PUCV\u2014","award":["UIDB\/00013\/2020"],"award-info":[{"award-number":["UIDB\/00013\/2020"]}]},{"name":"Vice-rectorate for Research, Creation, and Innovation\u2014VINCI\u2014of the Pontificia Universidad Cat\u00f3lica de Valpara\u00edso\u2014PUCV\u2014","award":["UIDP\/00013\/2020"],"award-info":[{"award-number":["UIDP\/00013\/2020"]}]},{"name":"Portuguese funds through the CMAT\u2014Research Centre of Mathematics of University of Minho, Portugal","award":["VINCI 039.470\/2024"],"award-info":[{"award-number":["VINCI 039.470\/2024"]}]},{"name":"Portuguese funds through the CMAT\u2014Research Centre of Mathematics of University of Minho, Portugal","award":["VINCI 039.493\/2024"],"award-info":[{"award-number":["VINCI 039.493\/2024"]}]},{"name":"Portuguese funds through the CMAT\u2014Research Centre of Mathematics of University of Minho, Portugal","award":["VINCI 039.309\/2024"],"award-info":[{"award-number":["VINCI 039.309\/2024"]}]},{"name":"Portuguese funds through the CMAT\u2014Research Centre of Mathematics of University of Minho, Portugal","award":["FONDECYT 1200525"],"award-info":[{"award-number":["FONDECYT 1200525"]}]},{"name":"Portuguese funds through the CMAT\u2014Research Centre of Mathematics of University of Minho, Portugal","award":["UIDB\/00013\/2020"],"award-info":[{"award-number":["UIDB\/00013\/2020"]}]},{"name":"Portuguese funds through the CMAT\u2014Research Centre of Mathematics of University of Minho, Portugal","award":["UIDP\/00013\/2020"],"award-info":[{"award-number":["UIDP\/00013\/2020"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This study introduces an inventory model for manufacturing that prioritizes product quality and cost efficiency. Utilizing fuzzy logic and mathematical programming, the model integrates fuzzy numbers to describe uncertainties associated with manufacturing costs and quality control parameters. The model extends beyond conventional inventory systems by incorporating a dynamic mechanism to halt production, employing fuzzy decision variables to optimize the economic order quantity and minimize total costs. Key innovations include the application of approaches related to graded mean integration for defuzzification and the use of Kuhn\u2013Tucker conditions to ensure optimal solutions under complex constraints. These approaches facilitate the precise management of production rates, inventory levels, and cost factors, which are essential in achieving a balance between supply and demand. A computational analysis validates the model\u2019s effectiveness, demonstrating cost reductions while maintaining optimal inventory levels. This underscores the potential of integrating fuzzy arithmetic with traditional optimization techniques to enhance decision making in inventory management. The model\u2019s adaptability and accuracy indicate its broad applicability across various sectors facing similar challenges, offering a valuable tool for operational managers and decision makers to improve efficiency and reduce waste in production cycles.<\/jats:p>","DOI":"10.3390\/axioms13110743","type":"journal-article","created":{"date-parts":[[2024,10,29]],"date-time":"2024-10-29T10:45:35Z","timestamp":1730198735000},"page":"743","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Hybrid Fuzzy Mathematical Programming Approach for Manufacturing Inventory Models with Partial Trade Credit Policy and Reliability"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3152-1592","authenticated-orcid":false,"given":"Prasantha Bharathi","family":"Dhandapani","sequence":"first","affiliation":[{"name":"Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore 641202, Tamil Nadu, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6705-5354","authenticated-orcid":false,"given":"Kalaiarasi","family":"Kalaichelvan","sequence":"additional","affiliation":[{"name":"PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Bharathidasan University, Tiruchirappalli 620018, Tamil Nadu, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4755-3270","authenticated-orcid":false,"given":"V\u00edctor","family":"Leiva","sequence":"additional","affiliation":[{"name":"School of Industrial Engineering, Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Valpara\u00edso 2362807, Chile"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9897-8186","authenticated-orcid":false,"given":"Cecilia","family":"Castro","sequence":"additional","affiliation":[{"name":"Centre of Mathematics, Universidade do Minho, 4710-057 Braga, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9654-7729","authenticated-orcid":false,"given":"Soundaria","family":"Ramalingam","sequence":"additional","affiliation":[{"name":"PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Bharathidasan University, Tiruchirappalli 620018, Tamil Nadu, India"}]}],"member":"1968","published-online":{"date-parts":[[2024,10,29]]},"reference":[{"key":"ref_1","first-page":"125","article-title":"Simultaneous determination of production cycle and inspection schedules in a production system","volume":"33","author":"Lee","year":"1987","journal-title":"Manag. 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