TSAN MING CHOIChiu C.H.To K.M.C.2022-05-302022-05-302011https://www.scopus.com/inward/record.uri?eid=2-s2.0-79957792645&doi=10.1177%2f0040517510391697&partnerID=40&md5=399a972efa90d78d406e879bb218f186https://scholars.lib.ntu.edu.tw/handle/123456789/612388In the industry of textiles and clothing, fast fashion is a trend. More and more fashion retailers are following the steps of the renowned brands, such as H&M and Zara, in having more frequent changes of styles every season and keeping a low inventory level. In this paper, we analytically explore this phenomenon in a supply chain with the safety-first objective. According to the Bienaym??chebysheff inequality theory, it is known that maximizing the safety-first objective is equivalent to minimizing the chance of making a profit lower than a target profit threshold. Accordingly, and with reference to the fast fashion system, we mathematically derived the optimal retailer? inventory policy. We found that the optimal policy was consistent with that which was applied in the case of fast fashion. Data sets from a fast fashion retailer were collected for further analysis. Extensive sensitivity analysis was conducted and the implications are discussed. ? 2010, SAGE Publications. All rights reserved.Bienaym??chebysheff inequality; Economics systems in textiles and clothing; fast fashion inventory system; optimization; safety-first objective[SDGs]SDG8[SDGs]SDG10Garment industry; Inventory control; Optimization; Profitability; Sales; Supply chains; Textile industry; Textiles; Inventory levels; Inventory modeling; Inventory policies; Inventory systems; Optimal policies; Safety firsts; Sensitivity analysisjournal article10.1177/00405175103916972-s2.0-79957792645