带有积压定单的最优模糊存储模型

A New Fuzzy Inventory Model with Backorder for Fuzzy Total Demand

本文提出一个新的具有积压定单的关于模糊总需求的模糊存储模型。在模糊函数原理下，给出了模糊总存储成本。为了寻找最优解，使用积分均值法白化模糊总存储成本，利用Lingo8．0求解不等式约束问题，我们发现最优解都是确定的实数。此外，当模糊总需求是确定的实数时，我们提出模型的最优解与经典的具有积压定单存储模型具有相同的结果。

In this paper, we introduce fuzzy inventory model with backorder for fuzzy total demand. The fuzzy total inventory costs under the fuzzy arithmetical operations of function principle are proposed. The final purpose is to find optimal solutions of the model by using mean integration representation method for defuzzifing fuzzy total inventory cost, and by using Lingo 8.0 for solving inequality constrained problem. We find that the optimal solutions are all determinstic real numbers. In addition, when the fuzzy total demand is crisp real numbers, the optimal solutions of our proposed model are consistent with those obtained from classical inventory model with backorder.