Publication Type:

Journal Article

Source:

Communications in Statistics - Theory and Methods, Taylor and Francis Inc., Volume 48, Issue 16, p.3976 - 3991 (2019)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85054402448&doi=10.1080%2f03610926.2018.1483510&partnerID=40&md5=43cec95eafa4a8ba73bbbca7800d58c5

Keywords:

Average run length, high quality processes, Six Sigma quality, world class organizations, zone control charts

Abstract:

In this article, Six Sigma zone control charts (SSZCCs) are proposed for world class organizations. The transition probabilities are obtained using the Markov chain approach. The Average Run Length (ARL) values are then presented. The ARL performance of the proposed SSZCCs and the standard Six Sigma control chart (SSCC) without zones or run rules is studied. The ARL performance of these charts is then compared with those of the other standard zone control charts (ZCCs), the modified ZCC and the traditional Shewhart control chart (SCC) with common run rules. As expected, it is shown that the proposed SSZCC outperforms the standard SSCC without zones or run rules for process shifts of any magnitude. When compared to the other standard ZCCs and the Shewhart chart with common run rules, it is observed that the proposed SSZCCs have much higher false alarm rates for smaller shifts and hence they prevent unwanted process disturbances. The application of the proposed SSZCC is illustrated using a real time example. © 2018, © 2018 Taylor & Francis Group, LLC.

Notes:

cited By 0; Article in Press

Cite this Research Publication

Dr. Ravichandran J., “Transistion Probabilities and ARL performance of Six Sigma zone control charts”, Communications in Statistics - Theory and Methods, vol. 48, no. 16, pp. 3976 - 3991, 2019.