Improving quality characteristics through combined control charts for Weibull distributed time between events

International Journal of Mechanical Engineering

© 2020 by SSRG - IJME Journal

Volume 7 Issue 3

Year of Publication : 2020

Authors : Temesgen Hailegiorgis Abebe

10.14445/23488360/IJME-V7I3P103

How to Cite?

Temesgen Hailegiorgis Abebe, "Improving quality characteristics through combined control charts for Weibull distributed time between events," SSRG International Journal of Mechanical Engineering, vol. 7,  no. 3, pp. 11-29, 2020. Crossref, https://doi.org/10.14445/23488360/IJME-V7I3P103

Abstract:

The progress of the quality control techniques and new technological developments have led to high-quality processes in which small defects occur. However, when dealing with high-quality processes, the existing control charting schemes may face some difficulties. In this article, I have designed a mixed cumulative sum-exponentially weighted moving average control chart (MCE) for monitoring Weibull distributed time between events (TBE) with individual measurements and compare it with Weibull cumulative sum, Weibull exponentially weighted moving average, and mixed exponentially weighted moving average‐cumulative sum (MEC) by transforming the Weibull data to the exponential data. A control chart's performance is evaluated by analyzing the Average run length (ARL) and the standard deviation of the run length (SDRL). The relative mean index (RMI) is also utilized to measure the proposed control chart's overall performance and three existing control charts. From real data, two illustrative examples show the application of existing control charts and the proposed control charts for monitoring Weibull distributed TBE.

Keywords:

MCE, MEC, time between events, WCUSUM, Weibull distribution, WEWMA.

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