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Variable sample size and variable sampling interval Shewhart control chart with estimated parameters

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Variable sample size and variable sampling interval Shewhart control chart with estimated parameters

Content Provider	Springer Nature Link
Author	Zhou, Maoyuan
Copyright Year	2015
Abstract	The theoretical results about variable sample size and sampling intervals (VSSI) Shewhart control chart are concerned with the case where the mean and standard deviation of the given process are known. However, in practice the mean and standard deviation are unknown. In this case, the common treatment is to estimate the unknown parameters using historical data. After determining the parameters we treat the control limits as though fixed. Up to now we have no idea about the average time to signal (ATS) of VSSI $${\bar{X}}$$ charts when the control limits are estimated. This paper will calculate the mean of the ATS for VSSI $${\bar{X}}$$ charts when the control limits are estimated in three different ways. The results show that parameter estimation has significant effect on the in-control ATS, but has little effect on the out-of-control ATS. These results could show us some good reference idea for choosing adequate number of sample groups m and the sample size n of historical data. Finally, this paper obtains the optimal design of the maximum sample size $$n_2$$ when other parameters are fixed.
Starting Page	17
Ending Page	37
Page Count	21
File Format	PDF
ISSN	11092858
Journal	Operational Research
Volume Number	17
Issue Number	1
e-ISSN	18661505
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-12-22
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Average time to signal Variable sample size and sampling interval Parameter estimation Statistical process control Operation Research/Decision Theory Operations Research, Management Science Computational Intelligence
Content Type	Text
Resource Type	Article
Subject	Management Science and Operations Research Strategy and Management Management of Technology and Innovation Computational Theory and Mathematics Statistics, Probability and Uncertainty Modeling and Simulation Numerical Analysis

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Variable sample size and variable sampling interval Shewhart control chart with estimated parameters

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