Impact of Different Repetitive Sampling Schemes on the Performance of X-bar Control Chart
| Autor: | Muhammad Azam, Muhammad Anwar Mughal, Muhammad Aslam |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
0209 industrial biotechnology Monte Carlo method Process (computing) Sampling (statistics) 02 engineering and technology Management Science and Operations Research 01 natural sciences 010104 statistics & probability 020901 industrial engineering & automation Control limits Control theory Sample size determination Modeling and Simulation Process control Control chart 0101 mathematics Statistics Probability and Uncertainty \bar x and R chart Mathematics |
| Zdroj: | Pakistan Journal of Statistics and Operation Research. :191-201 |
| ISSN: | 2220-5810 1816-2711 |
| Popis: | Repetitive sampling has been found very popular in improving the control chart techniques for last couple of years. In repetitive sampling based control charts, there are two additional control limits inside the usual upper control limit (UCL) and lower control limit (LCL). If any subgroup crosses these limits but remain inside outer limits, it is deferred and replaced with another selection. Process is said to be out of control if any subgroup falls outside UCL/LCL. In this article, the technique has been modified by introducing a relation between outer and inner control limits in terms of a ratio and need of this modification has also been justified by highlighting a gap in the existing technique. By using Monte Carlo simulation, several results have been generated relevant to different sample sizes and introduced ratios. The results have been described with the help of average run length (ARL) tables that how the efficiency of control chart is effected by using different ratios. The modification in the technique also provides variety of alternatives within the scope of repetitive based control charts. All the discussed options have summarized to one table to see that how the control limits under this technique behave and impact on detecting shifts in the process average. The schemes have been interpreted in the light of above ratio and their comparison has been described under different sample sizes that facilitate the user to select most appropriate scheme for a desired process control. An example has been included by choosing one of the proposed schemes to show the application and performance of the proposed control chart in a manufacturing process. |
| Databáze: | OpenAIRE |
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