含模糊修复速率的生产库存模型  

Economic Production Quantity(EPQ)with fuzzy repairable rate

作　　者：赵双双[1] 郭嗣琮[1] 

机构地区：[1]辽宁工程技术大学理学院,辽宁阜新123000

出　　处：《计算机工程与应用》2014年第22期233-237,共5页Computer Engineering and Applications

基　　金：教育部高校博士学科点专项科研基金(No.20102121110002)

摘　　要：研究了缺陷产品可修复且修复速率为模糊变量情况下的生产库存模型;给出了基于模糊结构元理论的求解模糊库存总成本最小化的方法步骤;得到了含有模糊结构元的最佳生产批量的表达式;应用Hessian矩阵的正定性验证了最小成本的存在性;分析了其与经典EPQ公式之间的联系;最后通过具体算例,证明了模型求解方法的可行性。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 charac-teristic of Hessian matrix shows that the objective function has the minamal production inventory cost at the optimal pro-duction quantity point;The relationship between model and classical EPQ is revealed through theoretical analysis;A nu-merical example is given to illustrate the feasibility of using the fuzzy mathematics to solve the inventory problem.

关 键 词：生产库存模型 模糊结构元 缺陷率 修复 缺货 

分 类 号：O155[理学—数学] O227[理学—基础数学]