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On-line quality control procedures for a random walk model with measurement error

 

作者: M.S Srivastava,   W.U Yanhong,  

 

期刊: Sequential Analysis  (Taylor Available online 1997)
卷期: Volume 16, issue 1  

页码: 93-105

 

ISSN:0747-4946

 

年代: 1997

 

DOI:10.1080/07474943708836374

 

出版商: Marcel Dekker, Inc.

 

关键词: Controllimit;Optimal control parameters;Sampling interval;Squared loss function

 

数据来源: Taylor

 

摘要:

An economical on-line quality control procedure is given for cases where measurement error u present.The unobservable quality characteristic procw is assumed to follow a normal random walk.model independent of the measurement error which is white noise. The off-target loss function used is proportional to the squared deviation from the target value.The procw is inspected at regular intervals of m time units and adjusted at the end of a cycle when the process goes out of the control limit d.The limning long-run average cost rate is evaluated.The optimum value of the control parameters,the inspection interval m,and the control limit d are obtained by minimlzlng the long-run average cost rate.When m is small and d is large, explicit expressions for the control parameters are given.

 

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