Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Monitoring the Nonconforming Fraction with a Dynamic Scheme When Sample Sizes are Time-varying

Version 1 : Received: 29 September 2021 / Approved: 30 September 2021 / Online: 30 September 2021 (15:30:52 CEST)

How to cite: Morales, V.H.; Panza, C.A.; Blanco, J. Monitoring the Nonconforming Fraction with a Dynamic Scheme When Sample Sizes are Time-varying. Preprints 2021, 2021090526 (doi: 10.20944/preprints202109.0526.v1). Morales, V.H.; Panza, C.A.; Blanco, J. Monitoring the Nonconforming Fraction with a Dynamic Scheme When Sample Sizes are Time-varying. Preprints 2021, 2021090526 (doi: 10.20944/preprints202109.0526.v1).

Abstract

In many practical applications, it is more convenient to characterize the quality of production processes or service operations throughout the count of nonconformities. In the context of SPC, nonconformities are usually assumed to appear according to the binomial probability model. The conventional way for monitoring nonconformities involves Shewhart-type control procedures based on both constant and time-varying sample sizes. In this article, an EWMA scheme is proposed for monitoring the fraction of nonconforming items with time-varying sample sizes. The proposed control chart is referred to as the EWMAG-B and can be easily adapted to work with a constant sample size by fixing it at a needed value. By means of simulation, it was found out that the EWMAG-B chart outperforms the conventional p control chart in Phase II while detecting changes in the process level is wanted.

Keywords

Average run length; binomial distribution; control charts; EWMAG control chart; nonconforming fraction; p control chart; Phase II; SPC

Subject

MATHEMATICS & COMPUTER SCIENCE, Probability and Statistics

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