考虑缺货和缺陷品的模糊生产库存模型的优化求解  

Fuzzy optimization of a production inventory system with allowable shortages and defective items

作　　者：李群霞[1] 张群[1] 

机构地区：[1]北京科技大学经济管理学院,北京100083

出　　处：《系统工程理论与实践》2011年第3期480-487,共8页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(70672102);北京市科委软科学研究博士生学位论文资助(ZZ0759)

摘　　要：提出了一种同时考虑缺货和缺陷品的生产库存模型,并利用模糊集理论进行优化求解.用梯形模糊数来描述各变量,并采用梯级平均综合表示法对目标函数进行解模糊.采用扩展拉格朗日法与反证法相结合的方法,解决了不等式约束下的目标函数的求解问题.Hessian矩阵的正定特性证明了目标函数在最佳生产量处存在最小的生产库存总成本.最后通过数据分析,研究了缺陷率和缺货对生产量和生产库存总成本的影响.The paper proposed a production inventory model with the shortage and defective products and the optimization solution using the fuzzy set theory. All input arguments in the model are treated as the trapezoidal fuzzy numbers, and the graded mean integration representation method is employed to defuzzify the objective function. The extend Lagrangian optimization Inethod is used for optimizing objective function with the inequality constraints. The positive definite characteristic of Hessian matrix shows that the objective function has the minimal production inventory cost at the optimal production quantity point. Finally, the impacts of the defective rate on the production quantity and the inventory cost are studied by using simulation analysis.

关 键 词：生产库存模型 缺陷品 缺货 

分 类 号：F253[经济管理—国民经济]