| 可变抽样区间几何EWMA控制图的经济设计 |
| |
| 引用本文： | 薛丽.可变抽样区间几何EWMA控制图的经济设计[J].运筹与管理,2013,22(4):126-132. |
| |
| 作者姓名： | 薛丽 |
| |
| 作者单位： | 郑州航空工业管理学院 管理科学与工程学院,河南 郑州 450000 |
| |
| 基金项目： | 国家自然科学基金资助项目(U1204702,71272207,71002073);教育部人文社科研究项目(10yjc630326,11yjc630013) |
| |
| 摘 要： | 为了降低生产过程周期成本,本文对单位缺陷数服从几何分布时,可变抽样区间的指数加权移动平均(EWMA)控制图进行经济设计。首先建立可变抽样区间几何EWMA控制图的经济模型,使单位时间期望费用最小来确定参数的最优值;其次用遗传算法来寻找经济模型的最优解;最后对可变抽样区间几何EWMA控制图的经济模型进行灵敏度分析和最优性分析。研究结果表明单位时间期望费用分别随着异常原因发生的频率、过程失控时单位时间的质量费用、发现异常原因的时间期望值和纠正过程的时间期望值的增大而增大。
|
| 关 键 词： | 可变抽样区间 几何分布 指数加权移动平均(EWMA)控制图 经济设计中图分类号:TB114.2 文章标识码:A 文章编号:1007-3221(2013)04-0126-07 |
| 收稿时间： | 2012-04-03 |
Economic Design of Variable Sampling Intervals EWMA Control Charts under Geometric Distribution |
| |
| XUE Li.Economic Design of Variable Sampling Intervals EWMA Control Charts under Geometric Distribution[J].Operations Research and Management Science,2013,22(4):126-132. |
| |
| Authors: | XUE Li |
| |
| Affiliation: | School of Management Science and Engineering, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450000, China |
| |
| Abstract: | To reduce the production process cycle cost, the economic design of exponential weighted moving average(EWMA)control chart with variable sampling intervals(VSI)under geometric distribution is discussed in this paper. First, the economic model of VSI EWMA control chart under geometric distribution is developed, the optimal values of the parameters will be determined such that the expected total cost is minimized. Further, the genetic algorithms will be used to search for the optimal values of the parameters of the VSI EWMA control chart under geometric distribution. Finally, the sensitivity analysis and optimality analysis of this model is done. The result of sensitivity analysis shows that the occurrences frequency of the assignable cause, the average quality cost per hour while producing out of control, expected time to discover the assignable cause and expected time to correct the process significantly affect the average total cost. The larger the four model parameters respectively, the larger the average total cost. The economic design method which proposed in this paper can be applied to other VSI control charts. |
| |
| Keywords: | variable sampling intervals geometric distribution exponential weighted moving average(EWMA)control chart economic design |
|
| 点击此处可从《运筹与管理》浏览原始摘要信息 |
|
点击此处可从《运筹与管理》下载全文 |
