基于变质性产品及模糊需求情况下的最优订购问题

将市场需求和变质率同时看成模糊数,并将物品的销售价格分成两部分来进行处理：没有损耗的产品以一种较高价格出售,有部分损耗的产品则按相对成本价较低的价格出售,建立使得平均利润最大的模糊库存模型,并利用三角模糊数、符号距离法进行处理,得出满足条件的最优订购批量。最后,通过分析算例来验证模糊库存模型比经典的库存模型更有效。

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

In this paper,we consider the attrition rate and demand as fuzzy number;meanwhile,the sale price of product is divided into two parts,the sale price of better product than that of the partial defective product.An inventory model which makes the average 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.Through the analysis of model,we find that the advantage of the fuzzy inventory model lies in uncertainty,and the fuzzy inventory model can reflect the fact circumstance better than the classic inventory model.