基于需求依赖库存的变质性商品最优库存-配送模型  

An Optimal Inventory-distribution Model with Deteriorating Items and Inventory-Level-Dependent Demand

作　　者：闵杰[1] 付娟[1] 欧剑[1] 刘耀玺[2] 

机构地区：[1]安徽建筑大学数理学院,安徽合肥230601 [2]中国科学技术大学管理学院,安徽合肥230026

出　　处：《工业工程》2014年第6期54-61,共8页Industrial Engineering Journal

基　　金：国家自然科学基金资助项目(71101002;71201044;71131003;71231004)

摘　　要：超市型销售终端中商品展示水平的"选择效应"和"广告效应",使得商品需求在很大程度上依赖其库存展示水平。针对这一实际情形,假设销售商在此类终端销售某一变质性商品,其中需求线性依赖于该商品当前库存水平,当库存水平下降到一定量时,立即从配送中心运送商品对超市库存进行补充。以单位平均利润最大化为目标构造相应的库存-配送模型,使用最优化理论讨论了模型最优解的存在性及唯一性,并提供寻求模型整体最优解的算法,以此求出最优的库存与配送方案。最后给出了数值例子,分析了模型参数变化对系统最优策略和利润的影响。The demand of items in the supermarket mode of sales terminals is largely dependent on its inventory level because of the ＂selection effect＂ and ＂advertising effect＂ of items＇ demonstrated inventory. It is assumed that retailer sells deteriorating items in supermarkets, and the demand of items linear depends on the current stock levels. When the inventory level in the supermarkets drops to a certain amount, the i- tems should be transported immediately from distribution center to supermarkets to supplement its inventory. An inventory-distribution model is developed based on the goal of maximum average profit, the existence and uniqueness of the optimal solution to the present model are examined by optimization theory, and an algorithm is also shown to find the global optimal inventory and distribution policies of the considered problem. Finally, numerical examples are given and a sensitive analysis made to illustrate the effect of parameters on the system＇s optimal strategy and profits.

关 键 词：库存 变质性商品 需求依赖库存 配送 

分 类 号：O22[理学—运筹学与控制论]