A Comparison of the Efficiency of Shewhart Control Charts and Tabular Cumulative Sum Control Charts: Case Study Monitor of Diameter of Rod
Dussadee Buntam
Abstract
Dussadee Buntam
Abstract
Theobjectiveofthisstudywastofindthe� efficiencyofcontrolchartsinthemonitoringofthe� rod production process. The control chart methods in the study were: 1) the Shewhart Control Chart and 2) the Tabular Cumulative Sum Control Chart. The efficienciesofthecontrolchartweredeterminedby� comparing their average run lengths (ARL). The data for the experiment were collected from the Rod Slice Industry, by sampling 4 rods per hour. The results of the study revealed a relatively small mean of 1.67, which can be described as follows. The Tabular CumulativeSumControlChartwasmoreefficient � than the Shewhart Control Chart when used to detect the difference in the rod production process. The result comparison of the control chart between the average run length (ARL) calculation and the actual production experimentindicatedthesameefficiency.�TheTabular� ChartexhibitedahigherefficiencythantheShewhart� Chart in the low differential shift. On the other hand, theTabularChartrevealedlowerefficiencythanthe� Shewhart Chart in the high differential shift.
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Theobjectiveofthisstudywastofindthe� efficiencyofcontrolchartsinthemonitoringofthe� rod production process. The control chart methods in the study were: 1) the Shewhart Control Chart and 2) the Tabular Cumulative Sum Control Chart. The efficienciesofthecontrolchartweredeterminedby� comparing their average run lengths (ARL). The data for the experiment were collected from the Rod Slice Industry, by sampling 4 rods per hour. The results of the study revealed a relatively small mean of 1.67, which can be described as follows. The Tabular CumulativeSumControlChartwasmoreefficient � than the Shewhart Control Chart when used to detect the difference in the rod production process. The result comparison of the control chart between the average run length (ARL) calculation and the actual production experimentindicatedthesameefficiency.�TheTabular� ChartexhibitedahigherefficiencythantheShewhart� Chart in the low differential shift. On the other hand, theTabularChartrevealedlowerefficiencythanthe� Shewhart Chart in the high differential shift.
Key concepts: X-bar chart, Control chart, Shewhart individuals control chart, \bar x and R chart, Chart, Statistics, Control limits, EWMA chart