一类时变需求且存货影响销售率的库存模型  

An Inventory Model with Time-varying Demand and Stock-dependent Selling Rate

作　　者：潘义前[1,2] 周优军[2] 曹亮[2] 

机构地区：[1]广西民族师范学院数学与计算机科学系,广西崇左532200 [2]广西大学数学与信息科学学院,南宁530004

出　　处：《重庆理工大学学报（自然科学）》2010年第3期121-126,共6页Journal of Chongqing University of Technology：Natural Science

基　　金：广西青年科学基金资助项目(桂科青0832092)

摘　　要：研究了需求率具有下降趋势的产品库存问题,建立了存货影响销售率且短缺量拖后率时变的库存模型,并证明了库存系统总利润最大值的存在性和唯一性,最后给出确定最优订货策略的算法与数值分析实例。In this paper, the inventory problem for product studied and an inventory model with stock-dependent selling with decreasing trend of demand rate is rate and time-varying backlogging is developed. The existence and uniqueness of the maximization total profit for inventory system is proved. Algorithm of the optimal ordering policy and numerical examples are presented in the end.

关 键 词：库存模型 存货影响销售率 时变需求 

分 类 号：O227[理学—运筹学与控制论]