Optimal variable sample size and sampling interval control chart for the process mean based on expected average time to signal

Khaw, K. W. and Chew, X. Y. and Teh, X. Y. and Yeong, W. C. * (2019) Optimal variable sample size and sampling interval control chart for the process mean based on expected average time to signal. International Journal of Machine Learning and Computing, 9 (6). pp. 880-885. ISSN 2010 3700

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Official URL: http://doi.org/10.18178/ijmlc.2019.9.6.887

Abstract

A control chart is one of the effective tools in statistical process control (SPC) for improving productivity, reducing defective products and providing diagnostic information. Control charting techniques have gained increasing importance recently due to the rapid advancement in technology. Many industries tend to use control charts to monitor the quality of their products or services. The adoption of variable sample size and sampling interval (VSSI) strategy significantly improved the sensitivity of Shewhart X chart in detecting small and moderate process mean shifts, in terms of average time to signal (ATS) criterion when the process shifts are specified. However, for some scenarios in real industries, the process shift size is not set to a specific value. In this case, the expected average time to signal (EATS) can be used as a measure of performance when the process shift is unknown. The EATS of the optimal VSSI X chart is numerically evaluated based on a Markov chain approach. The findings show that the VSSI X chart prevails over the Shewhart X chart under comparison. Being able to vary the sample size and sampling interval, a practitioner will have more flexibility and better control of the process and at the same time is able to detect an out-of-control signal quicker.

Item Type: Article
Uncontrolled Keywords: Expected average time to signal; Markov chain; process mean; variable sample size and sampling interval
Subjects: Q Science > QA Mathematics
Divisions: Others > Non Sunway Academics
Sunway University > School of Mathematical Sciences > Department of Applied Statistics
Depositing User: Dr Janaki Sinnasamy
Date Deposited: 02 Oct 2020 05:54
Last Modified: 02 Oct 2020 05:54
URI: http://eprints.sunway.edu.my/id/eprint/1459

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