带有可变库存费的变质性物品的部分延期供给的库存控制模型

摘要

传统的库存控制模型都视需求率为常数,在这篇文章中,放松了这个假定,研究了库存费的两种可能的变化：（i）库存费的变化率为存储时间的函数;（ii）库存费的变化率为库存量的函数.在模型中允许短缺发生且假定短缺部分延期供给,且在需求率线性依赖于库存水平的情形下,发展了两个变库存费的库存控制模型.%In the traditional inventory models,there exists a common assumption that the holding cost is constant.In the paper,we relax this assumption and two possibilities are considered ：（i）A non-linear function of the length of time the item;（ii） A non-linear function of the amount of on-hand inventory.we develop two inventory models for deteriorating items with stock-dependent demand in which shortages are allowed to occur and partial backlogged.The proofs are provided for the existence and uniqueness of optimal replenishment schedule a certain condition.