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《Mathematics in Practice and Theory》 2008-11
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Economic Lot-size Model for Perishable Items with Variable Holding Cost and Shortage

MIN Jie1,ZHANG Fen-hui2(1.Department of Mathematics & Physics,Anhui Institute of Architecture & Industry,Hefei 230601,China)(2.School of Management,Hefei University of Technology,Hefei 230009,China)  
In the traditional economic lot-size models,there exists a common assumption that the holding cost is fixed and inflexible during every order cycle.In this paper,we relax this assumption and two possibilities of variation are considered:(a) a non-linear function of the length of time the item and(b) a non-linear function of the amount of on-hand inventory.We develop two economic lot-size models for deteriorating items with stock-dependent demand in which shortages are allowed to occur and backlogged completely.The proofs are provided for the existence and uniqueness of optimal replenishment schedule and the effect of the variation for holding cost on the optimal order policies of inventory system are also shown in this paper.
【Fund】: 国家自然科学基金(70771034);; 高校博士学科点专项科研基金(20060359007);; 安徽省自然科学基金(KJ2008A030);; 安徽省高校青年教师科研资助计划项目(2007jq1091);; 合肥工业大学研究生科技创新基金(py200614)
【CateGory Index】: F253.4;F224
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