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American Journal of Applied Mathematics and Statistics. 2023, 11(3), 83-88
DOI: 10.12691/AJAMS-11-3-1
Original Research

Design of Process Control Charts to Monitor Compound Fraction Defectives with Variable Sample Sizes

DevaArul S1, and Arunthadhi N2

1Associate Professor & Head, Department of Statistics, Government Arts College (Autonomous), Coimbatore, Tamil Nadu, India.

2Research Scholar, Department of Statistics, Government Arts College (Autonomous), Coimbatore, Tamil Nadu, India.

Pub. Date: October 11, 2023
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Cite this paper

DevaArul S and Arunthadhi N. Design of Process Control Charts to Monitor Compound Fraction Defectives with Variable Sample Sizes. American Journal of Applied Mathematics and Statistics. 2023; 11(3):83-88. doi: 10.12691/AJAMS-11-3-1

Abstract

In this article a new control chart to monitor the compound fraction defectives is developed. The variability in the sample sizes and fraction defectives in the process are jointly monitored by using a single chart. The newly developed chart has good advantages over other charts by maintaining a single chart for two variable characteristics. This chart can monitor and control the fraction defectives in a process and at the same time will control the variability in the sample sizes. The ARL values are determined which is compared with other charts. It was found that the ARL of the proposed control chart better performed than the other control charts.

Keywords

Process Control, control limits, control charts, compound defectives

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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