需求率依赖于库存水平的离散性库存费的库存模型

传统的库存控制模型都视需求率为固定不变的,放松了这个假定,通过考虑库存费为存储时间的阶梯函数的情形:(1)全单位库存费用,(2)增量库存费用,并且在需求率依赖于库存水平,当库存水平下降到一定程度时,需求率变为常数的形式下,把变化的订购费引入,发展了两个离散性库存费的变质物品的库存控制模型。在模型中允许周期末库存水平不为零,并且提出了最优解的算法。

Inventory Model for Perishable Items with Stock-level Dependent Demand Rate and Discretely Variable Holding Costs

In the traditional economic inventory models,there exists a common assumption that the holding cost is fixed and inflexible during every order cycle.In this paper,the holding cost per unit of the item per unit time is assumed to be an increasing function of the time spent in storage.Two variable holding cost step functions are considered: Retroactive cost increases and incremental holding cost increases.The inventory model with discretely variable holding costs for perishable items is developed by assuming that the stock-dependent demand rate is down to a given level of inventory,beyond which it is a constant,and variable ordering cost is considered.Moreover,the terminal condition of zero ending inventories is not imposed on the inventory.Furthermore,the paper provides a simple solution algorithm for finding the maximum total profit per unit time.