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A Side-sensitive Modified Group Runs Control Chart with Auxiliary Information to Detect Process Mean Shifts

Faijun Nahar Mim, Sajal Saha, Michael Khoo Boon Chong and Mahfuza Khatun

Pertanika Journal of Tropical Agricultural Science, Volume 27, Issue 2, April 2019

Keywords: Auxiliary information (AI), average run length (ARL), expected average run length (EARL), side-sensitivity, side-sensitive modified group runs (SSMGR)

Published on: 24 Apr 2019

This study aims to develop a side-sensitive modified group runs control chart using auxiliary information (SSMGR-AI) to enhance the speed of detecting mean shifts in a process. The average run length (ARL) and expected average run length (EARL) criteria are adopted as performance measures of the proposed chart. The performance of the proposed chart is compared to the exponentially weighted moving average chart with AI (EWMA-AI) and the run sum chart with AI (RS-AI), in terms of the ARL and EARL criteria. The results reveal that the optimal SSMGR-AI chart generally outperforms all charts under comparison for detecting shifts in the process mean. An application with numerical data is presented to elaborate the implementation of the SSMGR-AI chart.

ISSN 1511-3701

e-ISSN 2231-8542

Article ID

JST-1319-2018

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