Optimal Designs Of The Double Sampling X Chart Based On Parameter Estimation
Control charts, viewed as the most powerful and simplest tool in Statistical Process Control (SPC), are widely used in manufacturing and service industries. The double sampling (DS) X chart detects small to moderate process mean shifts effectively, while reduces the sample size. The convention...
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my-usm-ep.438332019-04-12T05:26:18Z Optimal Designs Of The Double Sampling X Chart Based On Parameter Estimation 2013-01 Teoh, Wei Lin QA1 Mathematics (General) Control charts, viewed as the most powerful and simplest tool in Statistical Process Control (SPC), are widely used in manufacturing and service industries. The double sampling (DS) X chart detects small to moderate process mean shifts effectively, while reduces the sample size. The conventional application of the DS X chart is usually investigated assuming that the process parameters are known. Nevertheless, the process parameters are usually unknown in practical applications; thus, they are estimated from an in-control Phase-I dataset. In this thesis, the effects of parameter estimation on the DS X chart’s performance are examined. By taking into consideration of the parameter estimation, the run length properties of the DS X chart are derived. Since the shape and the skewness of the run length distribution change with the magnitude of the process mean shift, the number of Phase-I samples and sample size, the widely applicable performance measure, i.e. the average run length (ARL) should not be used as a sole measure of a chart’s performance. For this reason, the ARL, the standard deviation of the run length (SDRL), the median run length (MRL), the percentiles of the run length distributions and the average sample size (ASS) are recommended to effectively evaluate the proposed DS X chart with estimated parameters. 2013-01 Thesis http://eprints.usm.my/43833/ http://eprints.usm.my/43833/1/Teoh%20Wei%20Lin24.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik |
| institution |
Universiti Sains Malaysia |
| collection |
USM Institutional Repository |
| language |
English |
| topic |
QA1 Mathematics (General) |
| spellingShingle |
QA1 Mathematics (General) Teoh, Wei Lin Optimal Designs Of The Double Sampling X Chart Based On Parameter Estimation |
| description |
Control charts, viewed as the most powerful and simplest tool in Statistical Process
Control (SPC), are widely used in manufacturing and service industries. The double
sampling (DS) X chart detects small to moderate process mean shifts effectively,
while reduces the sample size. The conventional application of the DS X chart is
usually investigated assuming that the process parameters are known. Nevertheless,
the process parameters are usually unknown in practical applications; thus, they are
estimated from an in-control Phase-I dataset. In this thesis, the effects of parameter
estimation on the DS X chart’s performance are examined. By taking into
consideration of the parameter estimation, the run length properties of the DS X
chart are derived. Since the shape and the skewness of the run length distribution
change with the magnitude of the process mean shift, the number of Phase-I samples
and sample size, the widely applicable performance measure, i.e. the average run
length (ARL) should not be used as a sole measure of a chart’s performance. For this
reason, the ARL, the standard deviation of the run length (SDRL), the median run
length (MRL), the percentiles of the run length distributions and the average sample
size (ASS) are recommended to effectively evaluate the proposed DS X chart with
estimated parameters. |
| format |
Thesis |
| qualification_name |
Doctor of Philosophy (PhD.) |
| qualification_level |
Doctorate |
| author |
Teoh, Wei Lin |
| author_facet |
Teoh, Wei Lin |
| author_sort |
Teoh, Wei Lin |
| title |
Optimal Designs Of The Double
Sampling X Chart Based On Parameter
Estimation |
| title_short |
Optimal Designs Of The Double
Sampling X Chart Based On Parameter
Estimation |
| title_full |
Optimal Designs Of The Double
Sampling X Chart Based On Parameter
Estimation |
| title_fullStr |
Optimal Designs Of The Double
Sampling X Chart Based On Parameter
Estimation |
| title_full_unstemmed |
Optimal Designs Of The Double
Sampling X Chart Based On Parameter
Estimation |
| title_sort |
optimal designs of the double
sampling x chart based on parameter
estimation |
| granting_institution |
Universiti Sains Malaysia |
| granting_department |
Pusat Pengajian Sains Matematik |
| publishDate |
2013 |
| url |
http://eprints.usm.my/43833/1/Teoh%20Wei%20Lin24.pdf |
| _version_ |
1747821287373275136 |