一个新的具有积压定单的关于模糊订购量的模糊存储模型

A New Fuzzy Invetory Model with Backorder for Fuzzy Order Quantity

提出一个新的具有积压定单的关于模糊订购量、模糊存储量及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,当模糊订购量和模糊总需求及模糊存储量都是确定的实数时,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 order quantity and fuzzy total demand and fuzzy maximal stock quantity. The fuzzy total inventory costs of the model under the fuzzy arithmetical operations of Function Principle are proposed. The final purpose is find optimal solutions of the model by using Mean Integration Representation method for defuzzifing fuzzy total inventory cost, and by using Lingo8.0 for solving inequality constrain problem. Furthermore, we find that the optimal solutions are all crisp real numbers. In addition, when the fuzzy parameters（fuzzy order quantity , fuzzy total demand, fuzzy maximal stork quantity）are all crisp real numbers, the optimal solutions of our proposed model can specified to meet classical inventory model with backorder.