A Group Runs Control Chart for Detecting Shifts in the Process Mean

Gadre M. P. and Rattihalli R. N.
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Gadre M. P.: Department of Statistics, Mudhoji College, Phaltan, Pin - 415523, INDIA. mpg28@rediffmail.com
Rattihalli R. N.: Department of Statistics, Shivaji University, Kolhapur, Pin-416004, INDIA. rnr5@rediffmail.com

Stochastics and Quality Control, 2004, vol. 19, issue 1, 29-43

Abstract: Wu and Spedding [Journal of Quality Technology 32: 32-38, 2000] have proposed the synthetic control chart to detect small shifts in process mean. In this paper, for the same problem, we propose a control chart called ’Group Runs’ (GR) control chart, which is a combination of Shewhart's chart and an extended version of conforming run length chart. It is numerically verified that, the GR chart gives a significant reduction in out of control ATS as compared to those of the synthetic control chart and chart when in-control ATS is not smaller than a certain number. Steady state performance of the GR chart is also better. Hence, GR chart turns out to be economical to detect small shifts in the process mean.

Keywords: -Chart; CRL Chart; Synthetic Chart; Average Time to Signal (ATS); Steady State ATS (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (3)

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DOI: 10.1515/EQC.2004.29

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