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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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Chinese Journal Full-text Database 8 Hits
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Mao Xiao li ( Wuhan University of Science and Technology, 430081);OPTIMAL ORDER POLICIES FOR PERISHABLE ITEMS WITH HOLDING COST FUNCTIONS[J];经济数学;2001-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Zhou Youjun;School of Business Administration, South China University of Technology;Department of Mathematics & Computer Science, Liuzhou Higher Vocational Normal School;;Study on Perishable Item Inventory Model with Variable Inventory Cost under Finite Planning Period[J];物流技术;2014-19
2 LAN De-xin;ZHAO Meng;Mathematics and Computer Department,Wuyi University;;An Inventory Model with Variable Holding Cost and Shortage Postponed Delivery[J];重庆理工大学学报(自然科学);2014-03
3 ZHOU You-jun School of Business Administration,South China University of Technology,Guangzhou 510641,China;Department of Mathematics and Computer Science,Liuzhou Teachers College,Liuzhou Guangxi 545004,China;On EOQ Model for Sectional Changes of Holding Cost Depending on Deterioration Rate[J];西南师范大学学报(自然科学版);2013-07
4 JIA Ning,TAO Sheng,YANG Zhi-lin(College of Mathematics,Hefei University of Technoiogy,Hefei 230000,China);Inventory Model for Perishable Items Based on Variable Holding Cost and Shortage Cost[J];皖西学院学报;2012-05
5 WANG Hai-fang1,3,CAI Ying-Jie2,YANG Zhi-lin3(1.Hefei Economic Technic Vocational College,Hefei 230031,China; 2.Lu'an No.2 Middle School,Lu'an 237005,China; 3.Hefei University of Techonology,Hefei 230009,China);Inventory Model for Perishable Items with Variable Holding Cost and Partial Backlogging[J];大学数学;2012-03
6 SONG Hui,YANG Zhi-lin,TAO Sheng(School of Mathematics,Hefei University of Technology,Hefei 230009,China);Inventory model with order cost and holding cost including two classes of cost[J];合肥工业大学学报(自然科学版);2012-01
7 YU Neng-Fu (Department of Mathematics & Physics,Anhui University of Architecture,Hefei Anhui 230601);OPTIMAL ORDER POLICY FOR DETERIORATING ITEMS WITH INVENTORY-LEVEL-DEPENDENT HOLDING COST AND SHORTAGE[J];巢湖学院学报;2011-06
8 YU Neng-Fu(Department of Mathematics & Physics,Anhui University of Architecture,Hefei 230601,China);An EOQ model for inventory cost depending on storage time and shortage deteriorating items[J];安徽建筑工业学院学报(自然科学版);2011-05
9 HE Kun1,LU Quan-yu2(1.Dept.of Computer Engineering,Anhui Institute of Economic Management,Hefei 230059,China;2.School of Mathematics,Hefei University of Technology,Hefei 230009,China);Inventory model with variable holding cost and lost sales[J];合肥工业大学学报(自然科学版);2010-11
10 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);Economic Lot-size Model for Perishable Items with Variable Holding Cost and Shortage[J];数学的实践与认识;2008-11
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 HE Kun1,LU Quan-yu2(1.Dept.of Computer Engineering,Anhui Institute of Economic Management,Hefei 230059,China;2.School of Mathematics,Hefei University of Technology,Hefei 230009,China);Inventory model with variable holding cost and lost sales[J];合肥工业大学学报(自然科学版);2010-11
2 MO Jiang-tao,XU Chun-ming,WEN Zong-liang,MENG Li-hua (College of Mathematics and Information Science Guangxi University,Nanning 530004,China);An Inventory Model with Quantity Discount and Partial Backlogging[J];数学的实践与认识;2010-05
3 ZHANG Han-dong,WANG Qing-yun,CEN Yu-wan(School of Electrical Engineering & Information,Anhui University of Technology,Maanshan 243002,China);EOQ model for deteriorating items under elastic demand[J];计算机集成制造系统;2009-08
4 ZHANG Fu-ming,MENG Xian-zhong(Aetna School of Management,Shanghai Jiaotong University,Shanghai 20052,China);A Study of EOQ Models with Variation of Holding Cost and Ramp Type Demand Rate[J];工业工程与管理;2009-04
5 MIN Jie1,2,ZHOU Yong-wu1,3(1.School of Management,Hefei University of Technology,Hefei 230009,China;2.Department of Mathematics& Physics,Anhui University of Architecture,Hefei 230601,China;3.School of Business Administration,South China University of Technology,Guangzhou 510640,China);Inventory model for non-instantaneous deteriorating items under stock-dependent selling rate[J];系统工程学报;2009-02
6 ZHAO Meng,ZHONG Bo(College of Mathematics and Physics,Chongqing University,Chongqing 400044,China);Inventory Model with Stock-level Dependent Demand Rate and Variable Holding Cost[J];重庆工学院学报(自然科学版);2008-10
7 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);Economic Lot-size Model for Perishable Items with Variable Holding Cost and Shortage[J];数学的实践与认识;2008-11
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