考虑通货膨胀与最长顾客等待时间的变质性物品的库存模型

本文建立了一种考虑通货膨胀与时间价值的变质性物品的库存模型,在模型中允许短缺发生且拖后的需求速率与在缺货期间已经发生的缺货量有关.和已有相关模型的主要区别在于本模型把一个可重复的订货周期内的最大平均利润的净现值作为目标函数,且增加了在缺货期间最长顾客等待时间的限制,以确保库存系统拥有较高的服务水平.然后讨论了模型最优解的存在性与唯一性,并提供了寻求模型整体最优解的算法.最后用实例说明了此模型在实际中的应用.

An Inventory Model for Perishable Items with Maximum Customer Waiting Time under Inflation

This paper develops a deterministic inventory model for perishable items with a mixture of back orders and lost sales under inflation and time discounting,where the backlogged demand rate is dependent on the negative inventory level during the stock out period.The main differences from the existing related models are that the present model takes the maximum present value of profit in a repeatable order cycle as the objective function and proposes a more practical constraint of maximum customer-waiting time to ensure a proper customer service level.Then the existence and the uniqueness of the solution to relevant systems are examined and a solution algorithm is shown to find the optimal replenishment policy.At last,some numerical examples are presented to illustrate the applicatioh of the model.