Impact of Different Repetitive Sampling Schemes on the Performance of X-bar Control Chart | [Pakistan Journal of Statistics and Operation Research • 2020]

Author(s):

1. Muhammad Anwar Mughal: Department of Statistics, National College of Business Administration & Economics, Lahore, Pakistan

2. Muhammad Azam: Department of Statistics and Computer Science, University of Veterinary and Animal Sciences, Lahore, Pakistan

3. Muhammad Aslam: Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

Abstract:

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.

Page(s): 191-201

DOI: 10.18187/pjsor.v16i1.1876

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 16, Issue: 1, Year: 2020

Keywords:

Multiple Dependent State Sampling , Repetitive Sampling

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