A Control Chart Based on Two-piece Normal Distribution Using Repetitive Sampling

Gadde Srinivasa Rao,Muhammad Aslam,Muhammad Azam,Chi-Hyuck Jun

doi:10.18187/pjsor.v14i4.1561

Abstract

In this manuscript, a control chart is designed for two-piece normal distribution using repetitive sampling. The necessary measures to determine the average run lengths for in control and out-of-control process are given. The average run lengths are presented for various specified parameters and shift constants. The efficiency of the proposed chart is compared with the existing control chart using single sampling. The application of the proposed chart is given with the help of an example.

Highlights

Statistical analysis plays an important role in the production of high quality product
A control chart is based on two natural limits called upper control limit (UCL) and lower control limit (LCL)
We focus on the development of control charts for two-piece normal distribution using single and repetitive sampling

Summary

Introduction

Statistical analysis plays an important role in the production of high quality product. The process can be away from the given specifications limit and results in non-conforming products. Control charts are developed under the assumption that the quality of interest follows the normal distribution. S Rao, Muhammad Aslam, Muhammad Azam, Chi-Hyuck Jun always follows the normal distribution. In this situation, the use of a control chart based on normal distribution assumption increases the false alarms. It is necessary to develop control charts designed for non-normal distributions. We note that there is no work on designing a control chart for two-piece normal distribution. We focus on the development of control charts for two-piece normal distribution using single and repetitive sampling. A simulation study is given for illustration of the proposed chart

Design of Proposed Chart

Real data

Simulated data

Concluding Remarks