Monitoring process mean and variance with a single generally weighted moving average chart
Two generally weighted moving average (GWMA) charts are usually used concurrently for a simultaneous monitoring of the process mean and process variance. In this article, we propose a new GWMA chart, called the Max-GWMA chart, which uses a single statistic for a simultaneous monitoring of the pro...
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| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/97340 http://hdl.handle.net/10220/13066 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | Two generally weighted moving average (GWMA) charts are usually used
concurrently for a simultaneous monitoring of the process mean and process
variance. In this article, we propose a new GWMA chart, called the Max-GWMA
chart, which uses a single statistic for a simultaneous monitoring of the process
mean and variance. The statistic of the Max-GWMA chart is based on the maximum
of the absolute values of two GWMA statistics, one for controlling the mean
while the other the variance. We show that the Max-GWMA chart outperforms
the combined GWMA chart, in terms of the average run length (ARL), standard
deviation of the run length (SDRL) and diagnostic abilities performances. The
combined GWMA chart consists of two GWMA charts that are run concurrently, one
for monitoring the mean and the other the variance. |
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