中文摘要：

为减少大型设备维修企业不确定需求下的备件库存成本,提出一种用模糊数学方法表示离散型不确定需求的备件库存模型。在该模型中,针对维修备件需求的离散性和模糊性,采用三角模糊数表示备件的修换率,从而得到维修备件需求的模糊预测。结合（t,R,S）库存控制策略,建立了备件采购模型。运用遗传算法对模型进行求解,得到计划周期内的最佳检验周期,最大库存和订购点,进而确定最优的采购时间和批量。结合企业应用实际进行实例分析,验证了模型的有效性。

英文摘要：

To reduce spare parts inventory cost of large-scale equipment maintenance companies,an inventory model with discrete,uncertain spare parts demand using fuzzy theory was presented.In this model,the component renewal rate was denoted by using triangular fuzzy number to better address the discreteness and fuzziness of spare parts demands so as to obtain fuzzy prediction of spare parts demand.Fuzzy spare parts purchasing strategy was then set up by combining the fuzzy demand of spare part with the（t,R,S）inventory control method.This model was solved by genetic agorithm,and the optimal inspection period,maximal inventory level,order point,optimal order periods and lot-sizes were obtained.Effectiveness of this inventory model was verified by case study.