| 考虑缺货和缺陷品的模糊生产库存模型的优化求解 |
| |
| 引用本文： | 李群霞,张群.考虑缺货和缺陷品的模糊生产库存模型的优化求解[J].系统工程理论与实践,2011,31(3):480-487. |
| |
| 作者姓名： | 李群霞 张群 |
| |
| 作者单位： | 北京科技大学 经济管理学院,北京 100083 |
| |
| 基金项目： | 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.
|
| 关 键 词： | 生产库存模型 缺陷品 缺货 |
| 收稿时间： | 2009-10-13 |
Fuzzy optimization of a production inventory system with allowable shortages and defective items |
| |
| LI Qun-xia,ZHANG Qun.Fuzzy optimization of a production inventory system with allowable shortages and defective items[J].Systems Engineering —Theory & Practice,2011,31(3):480-487. |
| |
| Authors: | LI Qun-xia ZHANG Qun |
| |
| Institution: | School of Economics and Management, University of Science and Technology Beijing, Beijing 100083, China |
| |
| Abstract: | 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 method is used for optimizing objective function with the inequality constraints.The positive definite characteristic of Hessian matrix shows that the ... |
| |
| Keywords: | production inventory model defective item shortage |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《系统工程理论与实践》浏览原始摘要信息 |
| 点击此处可从《系统工程理论与实践》下载免费的PDF全文 |
