{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:39:22Z","timestamp":1740155962847,"version":"3.37.3"},"reference-count":19,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Operations Research"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>We give an alternative proof of the optimality of the solution for the deterministic EPQ with partial backordering (EPQ-PBO) [<jats:italic>Omega<\/jats:italic>, vol. 37, no. 3, pp. 624\u2013636, 2009]. Our proof is based on the mathematical programming theory. We also demonstrate the determination of the optimal decision policy through solving the corresponding mathematical programming problem. We indicate that the same approach can be used within other inventory models with partial backordering, and we consider additional models.<\/jats:p>","DOI":"10.1155\/2013\/272648","type":"journal-article","created":{"date-parts":[[2013,6,20]],"date-time":"2013-06-20T17:20:01Z","timestamp":1371748801000},"page":"1-7","source":"Crossref","is-referenced-by-count":1,"title":["Mathematical Programming Approach to the Optimality of the Solution for Deterministic Inventory Models with Partial Backordering"],"prefix":"10.1155","volume":"2013","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0983-8558","authenticated-orcid":true,"given":"Irena","family":"Stojkovska","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Natural Sciences and Mathematics, Saints Cyril and Methodius University, Gazi Baba bb, 1000 Skopje, Macedonia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2010.09.002"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2008.06.041"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.orl.2011.06.009"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2007.12.004"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.omega.2008.03.002"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.omega.2010.10.004"},{"volume":"2012","journal-title":"Advances in Operations Research","year":"2012","key":"16"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2011.01.048"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2013.02.014"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2012.07.002"},{"volume":"3","volume-title":"Canonical duality theory: connection between nonconvex mechanics and global optimization","year":"2007","key":"3"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-5273(00)00068-2"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.omega.2011.03.001"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1017\/S0269964806060165"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2006.06.020"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2012.03.032"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.omega.2012.10.005"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1007\/b98874"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.omega.2008.12.008"}],"container-title":["Advances in Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2013\/272648.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2013\/272648.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2013\/272648.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,30]],"date-time":"2016-07-30T08:25:10Z","timestamp":1469867110000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/aor\/2013\/272648\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":19,"alternative-id":["272648","272648"],"URL":"https:\/\/doi.org\/10.1155\/2013\/272648","relation":{},"ISSN":["1687-9147","1687-9155"],"issn-type":[{"type":"print","value":"1687-9147"},{"type":"electronic","value":"1687-9155"}],"subject":[],"published":{"date-parts":[[2013]]}}}