Optimal Policies for Inventory Systems with Discretionary Sales,Random Yield and Lost Sales  

作　　者：Xiao-ming Yan Ke Liu 

机构地区：[1]School of Software, Dongguan University of Technology, Guangdong 523808, China [2]Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190, China

出　　处：《Acta Mathematicae Applicatae Sinica》2010年第1期41-54,共14页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grants(No.606740852,No. 70731003,No.70221001)

摘　　要：We determine replenishment and sales decisions jointly for an inventory system with random demand, lost sales and random yield. Demands in consecutive periods are independent random variables and their distributions are known. We incorporate discretionary sales, when inventory may be set aside to satisfy future demand even if some present demand may be lost. Our objective is to minimize the total discounted cost over the problem horizon by choosing an optimal replenishment and discretionary sales policy. We obtain the structure of the optimal replenishment and discretionary sales policy and show that the optimal policy for finite horizon problem converges to that of the infinite horizon problem. Moreover, we compare the optimal policy under random yield with that under certain yield, and show that the optimal order quantity （sales quantity） under random yield is more （less） than that under certain yield.We determine replenishment and sales decisions jointly for an inventory system with random demand, lost sales and random yield. Demands in consecutive periods are independent random variables and their distributions are known. We incorporate discretionary sales, when inventory may be set aside to satisfy future demand even if some present demand may be lost. Our objective is to minimize the total discounted cost over the problem horizon by choosing an optimal replenishment and discretionary sales policy. We obtain the structure of the optimal replenishment and discretionary sales policy and show that the optimal policy for finite horizon problem converges to that of the infinite horizon problem. Moreover, we compare the optimal policy under random yield with that under certain yield, and show that the optimal order quantity （sales quantity） under random yield is more （less） than that under certain yield.

关 键 词：INVENTORY Discretionary sales Lost sales Random yield 

分 类 号：O227[理学—运筹学与控制论] F253.4[理学—数学]