需求受库存影响下具有固定保质期物品的最优订货策略  

An Optimal Order Policy for Items with Inventory-level-dependent Demand and Fixed Lifetime

作　　者：俞能福[1] 闵杰[1] 欧剑[1] 

机构地区：[1]安徽建筑工业学院数理系,安徽合肥230601

出　　处：《数学的实践与认识》2012年第22期111-120,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(71101002);安徽省自然科学基金(10040606Q10)

摘　　要：带有固定保质期物品的订货是供应链终端销售系统的一个重要决策问题,假设需求依赖库存展示水平并考虑"后进先出"的销售策略而建立了相应的库存决策模型,其中物品在固定保质期内仍具有常数的变质速率.然后以系统平均利润最大化为目标讨论了模型最优解的存在性及唯一性,并提供了寻求模型整体最优解的简单方法.最后给出应用实例,并分析了模型参数变化对最优订货策略的影响.The order decision for the items with fixed lifetime is important to the retail systems in a supply chain such as supermarket. An EOQ model is developed by considering the demand rate as a polynomial function of the retailer＇s current inventory level and the last-in-first-out （LIFO） issuing policy. The items will start to deteriorate as soon as they get into the warehouse and the deteriorating rate is a constant. Then we provide the necessary and sufficient conditions of the existence and uniqueness of the optimal solutions that could make the average profit per unit time to a maximum. An easy-to-use solution procedures are shown to find the optimal replenishment policy of the considered problem. At last, numerical examples are presented and the sensitive analysis of parameters are also given to illustrate the developed model.

关 键 词：库存 需求依赖库存 变质性商品 固定保质期 利润最大化 

分 类 号：F253.4[经济管理—国民经济] F224