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題名 A comprehensive note on “Lot-sizing decisions for deteriorating items with two warehouses under an order-size-dependent trade credit”
作者 陳聖智
Chen, Sheng-Chih ; Chan, Chun-Tao ; Teng, Jinn-Tsair
貢獻者 傳播學院
關鍵詞 inventory theory;economic order quantity;deteriorating items;two warehouses;trade credit
日期 2014-09
上傳時間 20-Mar-2014 17:48:47 (UTC+8)
摘要 To reduce inventory and increase sales, the supplier frequently offers the retailer a permissible delay in payments if the retailer orders more than or equal to a predetermined quantity. In 2012, Liao et al. proposed an economic order quantity model for a retailer with two warehouses when the supplier offers a permissible delay linked to order quantity. In this paper, we attempt to overcome some shortcomings of their mathematical model. Then, we apply some existing theoretical results in fractional convex programs to prove that the annual total variable cost is pseudoconvex. Hence, the optimal solution exists uniquely, which simplifies the search for the global minimum solution to a local minimum solution. Finally, we run a couple of numerical examples to illustrate the problem and compare the optimal solutions between theirs and ours.
關聯 International Transactions in Operational Research, Article first published online: 17 SEP 2013
資料類型 article
DOI 10.1111/itor.12045
dc.contributor 傳播學院en_US
dc.creator (作者) 陳聖智zh_TW
dc.creator (作者) Chen, Sheng-Chih ; Chan, Chun-Tao ; Teng, Jinn-Tsairen_US
dc.date (日期) 2014-09en_US
dc.date.accessioned 20-Mar-2014 17:48:47 (UTC+8)-
dc.date.available 20-Mar-2014 17:48:47 (UTC+8)-
dc.date.issued (上傳時間) 20-Mar-2014 17:48:47 (UTC+8)-
dc.identifier.uri (URI) http://dx.doi.org/10.1111/itor.12045-
dc.description.abstract (摘要) To reduce inventory and increase sales, the supplier frequently offers the retailer a permissible delay in payments if the retailer orders more than or equal to a predetermined quantity. In 2012, Liao et al. proposed an economic order quantity model for a retailer with two warehouses when the supplier offers a permissible delay linked to order quantity. In this paper, we attempt to overcome some shortcomings of their mathematical model. Then, we apply some existing theoretical results in fractional convex programs to prove that the annual total variable cost is pseudoconvex. Hence, the optimal solution exists uniquely, which simplifies the search for the global minimum solution to a local minimum solution. Finally, we run a couple of numerical examples to illustrate the problem and compare the optimal solutions between theirs and ours.en_US
dc.format.extent 243210 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) International Transactions in Operational Research, Article first published online: 17 SEP 2013en_US
dc.subject (關鍵詞) inventory theory;economic order quantity;deteriorating items;two warehouses;trade crediten_US
dc.title (題名) A comprehensive note on “Lot-sizing decisions for deteriorating items with two warehouses under an order-size-dependent trade credit”en_US
dc.type (資料類型) articleen
dc.doi.uri (DOI) 10.1111/itor.12045-