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

  • 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 ~xR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CVSSI~x-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.

     

    Abstract: 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.

     

/

返回文章
返回