可变样本容量和抽样区间的联合中位值和极差控制图  

Combine Median and Range Charts with Variable Sample Sizes and Sampling Intervals

作　　者：张维铭[1] 刘建斌[1] 

机构地区：[1]浙江工程学院,杭州310033

出　　处：《应用概率统计》2004年第1期20-26,共7页Chinese Journal of Applied Probability and Statistics

摘　　要：最近的理论研究表明具有可变样本容量(VSS)和可变抽样区间(VSI)的控制图比常规控制(FSSI)图能更快地揭露生产过程中的问题.本文将以前单个控制图的研究方法推广到联合中位值(x)和极差(R)控制图,记作CVSSI x—R图.假定过程处于控制状态的时间T服从负指数分布,利用Costa的马氏链方法设计CVSSIx-R图,并同联合常规(CFSSI)图作比较.所设计的CVSSI图较之CFSSI图能更快地发现过程平均值和方差的较小和中等的变化,从而减小不合格品数.This paper extends previous studies for processes that are monitored by the combine x and R charts with variable sample sizes and sampling intervals based on Costa model of joint x and R charts, it is assumed that the amount of time the process remains in control has exponential distribution. Calculating the average time to signal for the combine x and R charts under the variable sample size and sampling interval. The proposed charts are compared with the conventional charts, the variable sample size charts and the variable sampling interval charts.

关 键 词：中位值 极差 控制图 可变样本容量 可变抽样区间 发信号的平均时间 

分 类 号：O213.1[理学—概率论与数理统计]