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An adaptive approach to EWMA dispersion chart using Huber and Tukey functions

Zaman, Babar and Lee, Muhammad Hisyam and Muhammad Riaz, Muhammad Riaz and Abujiya, Mu'azu Ramat (2019) An adaptive approach to EWMA dispersion chart using Huber and Tukey functions. Quality and Reliability Engineering International, 35 (6). pp. 1542-1581. ISSN 0748-8017

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Official URL: http://dx.doi.org/10.1002/qre.2460

Abstract

Random causes are vital part of every process in manufacturing and nonmanufacturing environments, and these do not affect the product features. Special causes, on the other hand, come because of some burden(s) in a process and requires special attention; otherwise, it ruins the products excellence. Special causes are categorized into small, moderate, and large shifts and are handled by statistical quality control charts. The Shewhart control chart is well known for large shifts, while the cumulative sum and exponentially weighted moving average are more effective in detecting small to moderate shifts. However, in practice, many processes require the simultaneous monitoring of both the small to the large shifts. In this study, we have designed an adaptive EWMA for dispersion parameter in connection with Huber and Tukey's bisquare functions. The performance measures used in this study include average run length, extra quadratic loss, relative average run length, and performance-comparison index. We have observed that the study proposals are good competitors to the other counter parts for an efficient monitoring of shifts of varying amounts. An illustrative example using real data is given to demonstrate the implementation of the study proposal.

Item Type:Article
Uncontrolled Keywords:adaptive EWMA, CUSUM
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:89191
Deposited By: Widya Wahid
Deposited On:09 Feb 2021 08:25
Last Modified:09 Feb 2021 08:25

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