Title: Developing robust design: determining critical limits for signal-to-noise ratio based on process capability index

Authors: Arash Shahin; Arash Geramian

Addresses: Department of Management, University of Isfahan, Hezarjarib St., 81746-73441, Isfahan, Iran ' Department of Management, University of Isfahan, Hezarjarib St., 81746-73441, Isfahan, Iran

Abstract: In design of experiments (DOE), the higher the ratio of signal-to-noise (S/N) is, the better the experiment would be. However, there might be cases in which, process capability is not desirable, while the S/N ratio is high. To resolve such problem, in this study an approach has been proposed to control the ratio. For this purpose, the process capability indices, i.e., Cp and CPK ratios have been integrated with S/N ratio, and critical ratios have been determined for the two mentioned indices. The determined ratios not only have been used in measuring the value of S/N ratio, but also have been compared with the critical ratio. In this comparison, the changes of denominator has been studied and it has been found that selecting the experiment with highest S/N ratio is done in respect of controlling its undesirable changes within acceptable limits.

Keywords: quality engineering; design of experiments; DOE; process capability index; PCI; orthogonal arrays; active statistical method; critical S/N ratio; robust design; signal-to-noise ratio; quality improvement; statistical process control; SPC.

DOI: 10.1504/IJPQM.2014.064477

International Journal of Productivity and Quality Management, 2014 Vol.14 No.2, pp.228 - 246

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 27 Aug 2014 *

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