【摘要】 构造一类需求受当前库存水平影响的非立即变质性物品的库存模型,在模型中允许短缺发生且短缺期间到达的需求愿意等待供货的比例是其等待时间的指数下降函数,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.更多还原

【Abstract】 This paper develops a more general inventory model for non-instantaneous deteriorating items with current-stock-dependent demand rate.In the model shortage is permitted and the unsatisfied demand is partially backlogged at a negative exponential rate with the waiting time.Then the paper provides the necessary and sufficient conditions of the existence and uniqueness of the optimal solutions that can make the average profit per unit time reach the maximum.An easy-to-use solving procedure is shown to find the optimal replenishment policy of the considered problem.At last,numerical example is presented and the sensitive analysis of parameters are also given to illustrate the developed model.更多还原