Title: Synthetic control chart with curtailment for monitoring shifts in fraction non-conforming

Authors: Salah Haridy; Nger Ling Chong; Michael B.C. Khoo; Mohammad Shamsuzzaman; Philippe Castagliola

Addresses: Department of Industrial Engineering and Engineering Management, College of Engineering, University of Sharjah, Sharjah, UAE; Benha Faculty of Engineering, Benha University, Benha, Egypt ' School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Minden, Penang, Malaysia ' School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Minden, Penang, Malaysia ' Department of Industrial Engineering and Engineering Management, College of Engineering, University of Sharjah, Sharjah, UAE ' LS2N, UMR CNRS 6004, Université de Nantes, Nantes, France

Abstract: The integration of the curtailment method with control charts considerably improves the detection speed by signalling an out-of-control condition prior to the inspection of the whole sample. To date, few research works have focused on the incorporation of the curtailment method to improve the performance of control charts. Thus, this paper incorporates the curtailment approach with the synthetic chart to propose a synthetic with curtailment (Curt_Syn) control chart for detecting upward shifts in the fraction non-conforming, p. We compare the newly developed Curt_Syn chart with the synthetic, exponentially weighted moving average (EWMA), cumulative sum (CUSUM), EWMA with curtailment (Curt_EWMA), and CUSUM with curtailment (Curt_CUSUM) charts. From an overall perspective, the results reveal that the Curt_Syn chart surpasses the synthetic chart by 38% under various conditions. For all p shifts, the Curt_Syn chart outperforms the CUSUM and EWMA charts. When the p shift is large, the Curt_Syn chart is superior to the Curt_CUSUM and Curt_EWMA charts. To demonstrate the implementation of the Curt_Syn chart, an illustrative example is provided. [Received: 30 April 2019; Accepted: 7 April 2021]

Keywords: control chart; synthetic chart; curtailment; fraction non-conforming; quality control; statistical process control; SPC; monitoring; attribute chart.

DOI: 10.1504/EJIE.2022.121184

European Journal of Industrial Engineering, 2022 Vol.16 No.2, pp.194 - 214

Accepted: 07 Apr 2021
Published online: 28 Feb 2022 *

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