{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T03:12:44Z","timestamp":1776309164401,"version":"3.50.1"},"reference-count":51,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2025,10,17]],"date-time":"2025-10-17T00:00:00Z","timestamp":1760659200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Systems"],"abstract":"<jats:p>This research communication aims to present three mathematical methods for analyzing inventory management in dynamic supply chains, starting from the basic definition in differential equations for inventory levels, which relates with production and demand rates. Initially, the study adopts a systemic perspective to examine the role of energy within a production\u2013inventory system. Subsequently, the analysis focuses on inventory dynamics under parameters expressed in complex variables, with the aim of quantifying fluctuations in a generic production system and demonstrating the influence of inventory variation rates on system behavior. Finally, the investigation addresses the impact of variable capacity on production system inventories, drawing on analogies with corresponding physical systems to support the analysis.<\/jats:p>","DOI":"10.3390\/systems13100909","type":"journal-article","created":{"date-parts":[[2025,10,17]],"date-time":"2025-10-17T14:29:17Z","timestamp":1760711357000},"page":"909","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Mathematical Methods for Inventory Management in Dynamic Supply Chains"],"prefix":"10.3390","volume":"13","author":[{"given":"Yasser A.","family":"Daviz\u00f3n","sequence":"first","affiliation":[{"name":"IT Los Mochis, Tecnol\u00f3gico Nacional de M\u00e9xico, Juan de Dios, Batiz y 20 de Noviembre, Los Mochis C.P. 81259, Sinaloa, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9334-1159","authenticated-orcid":false,"given":"Carlos","family":"Hern\u00e1ndez-Santos","sequence":"additional","affiliation":[{"name":"IT Nuevo Le\u00f3n, Tecnol\u00f3gico Nacional de M\u00e9xico, Av. Eloy Cavazos 2001, Guadalupe 66170, Nuevo Le\u00f3n, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4897-2402","authenticated-orcid":false,"given":"Nain","family":"de la Cruz","sequence":"additional","affiliation":[{"name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del IPN, Unidad Monterrey, V\u00eda del Conocimiento 201, Parque PIIT, Apodaca 66600, Nuevo Le\u00f3n, Mexico"}]},{"given":"Roxana","family":"Garcia-Andrade","sequence":"additional","affiliation":[{"name":"IT Nuevo Le\u00f3n, Tecnol\u00f3gico Nacional de M\u00e9xico, Av. Eloy Cavazos 2001, Guadalupe 66170, Nuevo Le\u00f3n, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7906-9307","authenticated-orcid":false,"given":"Arnoldo Fern\u00e1ndez","family":"Ramirez","sequence":"additional","affiliation":[{"name":"IT Nuevo Le\u00f3n, Tecnol\u00f3gico Nacional de M\u00e9xico, Av. Eloy Cavazos 2001, Guadalupe 66170, Nuevo Le\u00f3n, Mexico"}]},{"given":"Amadeo","family":"Hern\u00e1ndez","sequence":"additional","affiliation":[{"name":"IT de Pachuca, Tecnol\u00f3gico Nacional de M\u00e9xico, Blvd. Felipe \u00c1ngeles Km. 84.5, Venta Prieta, Pachuca de Soto 42083, Hidalgo, Mexico"}]},{"given":"Francisco Fabi\u00e1n","family":"Tob\u00edas-Mac\u00edas","sequence":"additional","affiliation":[{"name":"IT de Piedras Negras, Tecnol\u00f3gico Nacional de M\u00e9xico, Prol. Tecnol\u00f3gico 310, Tecnol\u00f3gico, Piedras Negras 26080, Coahuila, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5885-5691","authenticated-orcid":false,"given":"Ernesto","family":"Rinc\u00f3n","sequence":"additional","affiliation":[{"name":"IT Nuevo Le\u00f3n, Tecnol\u00f3gico Nacional de M\u00e9xico, Av. 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