库存费依赖于库存量和短缺的变质性物品的最优订货策略  

OPTIMAL ORDER POLICY FOR DETERIORATING ITEMS WITH INVENTORY-LEVEL-DEPENDENT HOLDING COST AND SHORTAGE

作　　者：俞能福[1] 

机构地区：[1]安徽建筑工业学院数理系,安徽合肥230601

出　　处：《巢湖学院学报》2011年第6期5-9,共5页Journal of Chaohu University

摘　　要：传统的库存研究中都假定物品的库存费用是固定不变的.本文通过考虑库存费的变化率为库存量的函数,并在需求线性依赖于库存水平的形式下,拓展了变库存费的变质性物品的经济批量模型.然后以系统平均利润最大化为目标,讨论了在允许短缺发生且假定短缺完全拖后的情况下模型存在唯一最优解的条件.最后给出了应用实例,分析了模型主要参数的变化对最优订货策略的影响.Holding costs are supposed to be fixed in the traditional researches on inventory. Taking the change rate in holding costs as the function for the amount of inventory, the paper develops economic order quantity models for deteriorating items with the demand rate as a polynomial function of the retailer＇s current inventory level. Then we work out the conditions of the existence and uniqueness of the optimal solutions that could make the average profit unit time to a maximum when shortage is allowed and backlogged completely. At last, numerical examples and sensitive analysis of major parameters are presented to illustrate the developed model.

关 键 词：库存费 需求依赖于库存 变质性物品 缺货 

分 类 号：O227[理学—运筹学与控制论]