损失率依赖于缺货量资金折现的变质库存模型

An inventory model for deteriorating items with backorder dependent lost rate and time value of money

利用折现现金流法建立了一类需求率依赖于通货膨胀和时间的变质性产品库存模型,允许缺货,缺货期间损失率与实际缺货量成正比,目标是确定最优的补货次数、补货时间和每次的补货量以使总费用现值最小,分析了模型的性质,给出了寻找最优策略的算法,并通过算例说明了模型。

Following the discounted cash flow approach, a deterministic inventory model for deteriorating items with inflation induced time-varying demand is presented. Shortages are allowed and the lost rate during the shortage period is assumed to be proportional to the quantities of the factual backorder. The aim is to determine the optimal replenishment number, timing and order quantities which minimize the present value of the total cost. Then the character of the model is analyzed and an algorithm to find the optimal replenishment policy is provided. Finally, a numerical example is shown to illustrate the model.