关键词: 生产库存模型, 模糊结构元, 缺陷率, 修复, 缺货

Abstract: This paper studies the problem of the Economic Production Quantity（EPQ） with repairable imperfect items and fuzzy repairable rate; The optimal production policies are determined using fuzzy structured element theory to solve the fuzzy models; The optimal production quantity with fuzzy structured element is obtained; The positive definite characteristic of Hessian matrix shows that the objective function has the minamal production inventory cost at the optimal production quantity point; The relationship between model and classical EPQ is revealed through theoretical analysis; A numerical example is given to illustrate the feasibility of using the fuzzy mathematics to solve the inventory problem.

Key words: Economic Production Quantity（EPQ）, fuzzy structuring element, fuzzy defective rate, rework, shortage