{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T14:20:26Z","timestamp":1769782826491,"version":"3.49.0"},"reference-count":6,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T00:00:00Z","timestamp":1769040000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>Hwang developed inventory models with amelioration items and applied the graphical method to locate the optimal solution. In this study, we derive an analytical method to find two local maximum points and one local minimum point. Our maximum profit is greatly superior to that of Hwang, because his maximum profit is about 0.246% of ours. The local maximum point near the starting point (denoted as 3\u00d710\u22127) is almost impossible to discoverby the numerical method, illustrating the effectiveness of our analytical method.<\/jats:p>","DOI":"10.3390\/a19010090","type":"journal-article","created":{"date-parts":[[2026,1,27]],"date-time":"2026-01-27T09:21:40Z","timestamp":1769505700000},"page":"90","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Mathematical Approach for Ameliorated Inventory Models"],"prefix":"10.3390","volume":"19","author":[{"given":"Scott Shu-Cheng","family":"Lin","sequence":"first","affiliation":[{"name":"Department of International Business, Hsing Wu University, Linkou, New Taipei City 24452, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2026,1,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"701","DOI":"10.1016\/S0360-8352(97)00226-X","article-title":"A study on an inventory model for items with Weibull ameliorating","volume":"33","author":"Hwang","year":"1997","journal-title":"Comput. Ind. Eng."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1016\/j.apm.2019.02.007","article-title":"A novel mathematical inventory model for growing-mortal items (case study: Rainbow trout)","volume":"71","author":"Malekitabar","year":"2019","journal-title":"Appl. Math. Model."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1868","DOI":"10.1016\/j.mcm.2008.03.003","article-title":"An analytic solution approach for the economic order quantity model with Weibull ameliorating items","volume":"48","author":"Chou","year":"2008","journal-title":"Math. Comput. Model."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"8946547","DOI":"10.1155\/2017\/8946547","article-title":"Improvement for Amelioration Inventory Model with Weibull Distribution","volume":"2017","author":"Tuan","year":"2017","journal-title":"Math. Probl. Eng."},{"key":"ref_5","first-page":"477","article-title":"Effect of lead time on inventory\u2014A working result","volume":"30","author":"Gupta","year":"1979","journal-title":"J. Oper. Res. Soc."},{"key":"ref_6","unstructured":"Thomas, G.B., and Finney, R.L. (1996). Calculus with Analytic Geometry, Addison-Wesley Publishing Company. [9th ed.]."}],"container-title":["Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1999-4893\/19\/1\/90\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,27]],"date-time":"2026-01-27T09:23:21Z","timestamp":1769505801000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1999-4893\/19\/1\/90"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1,22]]},"references-count":6,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2026,1]]}},"alternative-id":["a19010090"],"URL":"https:\/\/doi.org\/10.3390\/a19010090","relation":{},"ISSN":["1999-4893"],"issn-type":[{"value":"1999-4893","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,1,22]]}}}