Auxiliary information based HEWMA chart using variable sampling interval

Peh Sang Ng (), Wai Chung Yeong (), Sajal Saha (), Sok Li Lim () and Wai Kwan Lau ()
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Peh Sang Ng: Universiti Tunku Abdul Rahman
Wai Chung Yeong: Sunway University
Sajal Saha: International University of Business Agriculture and Technology
Sok Li Lim: Taylor’s University
Wai Kwan Lau: Universiti Tunku Abdul Rahman

Quality & Quantity: International Journal of Methodology, 2024, vol. 58, issue 5, No 14, 4329 pages

Abstract: Abstract The use of auxiliary information concept (AIC) and variable sampling interval (VSI) feature in control charts is shown to enhance the sensitivity of the charts in out-of-control detection. In this paper, the VSI hybrid exponentially weighted moving average (HEWMA) chart based on auxiliary information (denoted as the VSI AIC-HEWMA) for the process mean is proposed, where two levels of sampling interval are considered, with test statistic that considers both information from the study and auxiliary characteristics. Monte-Carlo simulation is used to compute the average time to signal (ATS), standard deviation of the time to signal (SDTS) and expected ATS (EATS) of the chart. The VSI AIC-HEWMA chart is then compared with the auxiliary information based variable sampling interval exponentially weighted moving average (VSI AIC-EWMA) and AIC-HEWMA charts. Results show that the VSI AIC-HEWMA chart is more sensitive than the competing charts for all sizes of shift in out-of-control detection, by having the smallest out-of-control ATS and EATS values.

Keywords: Control chart; HEWMA; Variable sampling interval; Auxiliary information concept; 62P30; 62D05 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s11135-024-01830-z

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