基于损耗率和需求不确定情况下的订购批量

库存管理模型在现实生活中有着广泛的运用。然而,在实际生活中,由于种种不确定性原因的影响,使得经典的确定型的EOQ模型的运用越来越不符合现实的需要;本文将需求和损耗率看成模糊数的同时,将物品的销售价格分成两部分来进行处理,即:没有损耗的产品以一种较高价格出售,对于有部分损耗的产品则按较低的价格出售;采用概率论置信区间估计的方法构建模糊变量的波动区间,构建使得总的利润达到最大的模糊库存模型,并利用三角模糊数、符号距离的方法以及最优化理论进行处理,得出满足条件的最优订购批量。最后,给出了模型分析和算例分析;通过分析,我们发现模糊库存模型的优点在于它自生所具有的不确定性;从数据上看,模糊库存模型比经典的库存模型更能反映出实际情况。

Ordering Lot-sizing under Uncertain Attrition Rate and Uncertain Demand Condition

The inventory management models have wide applications in the real world. However, in real life, because of the influence of all kinds factors, the application of classic EOQ model does not meets the realistic requisition. This paper we regard the attrition rate and demand as fuzzy number at the same time, the sale price of product is divided into two parts, i.e. , the sale price of good product than that of the partial defective product; A inventory model which makes the total profits maximize is constructed, we can obtain the optimal ordering lot-sizing using triangle fuzzy number.the method of the sign distance and the optimal theory. Finally, the model analysis and examples are given. Though the analysis of model, we find the advantage of the fuzzy inventory model lies in itself uncertainty; From the analysis of data, the fuzzy inventory model can reflect the fact circumstance than the classic inventory model.