首页   按字顺浏览 期刊浏览 卷期浏览 Economic design of a variable sample size-chart
Economic design of a variable sample size-chart

 

作者: Changsoon Park,   Marion R. Reynolds,  

 

期刊: Communications in Statistics - Simulation and Computation  (Taylor Available online 1994)
卷期: Volume 23, issue 2  

页码: 467-483

 

ISSN:0361-0918

 

年代: 1994

 

DOI:10.1080/03610919408813182

 

出版商: Marcel Dekker, Inc.

 

关键词: Average Number of samples to signal;Average Number of Observations to signal;Average Time to signal;Markov Chain

 

数据来源: Taylor

 

摘要:

An economic design model for an-chart which uses a variable sample size feature is developed in this paper. In a variable sample size control chart the sample size at each sampling time depends on the value of the previous sample statistic, whereas the sample size is set to be fixed constant in traditional control charts. In order to detect shifts quickly, the variable sample size chart takes a larger sample if there is any indication that the process is running in an out-of-control state and a smaller sample otherwise. for practical purposes only two possible sample sizes are considered. The objective of the econo,ic design is to find the optimal sampling interval, control limit and sample sizes to minimize the expected cost per unit operating time. The determination of the optimal design requires the computation of the averge number of samples and the average number of observations taken when the process is in control and out of control. The characteristics can be computed using the Markov chain property of the control procedure. Application of the variable sample size fezture of the-chart for the case in which there are multiple assignable causes shows improved efficiency and statistical performance compared to the fixed sample size chart

 

点击下载:  PDF (607KB)



返 回