Monitoring process variation using modified EWMA

Saghir, Aamir‭, ‬Aslam, Muhammad‭, ‬Faraz, Alireza‭, ‬Ahmad, Liaquat‭ and Cédric Heuchenne
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Cédric Heuchenne: Université catholique de Louvain, LIDAM/ISBA, Belgium

No 2021040, LIDAM Reprints ISBA from Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA)

Abstract: A‭ ‬new‭ ‬control‭ ‬chart,‭ ‬namely,‭ ‬modified‭ ‬exponentially‭ ‬weighted‭ ‬moving‭ ‬average (EWMA)‭ ‬control‭ ‬chart,‭ ‬for‭ ‬monitoring‭ ‬the‭ ‬process‭ ‬variance‭ ‬is‭ ‬introduced‭ ‬in this‭ ‬work‭ ‬by‭ ‬following‭ ‬the‭ ‬recommendations‭ ‬of‭ ‬Khan‭ ‬et‭ ‬al. The‭ ‬proposed control‭ ‬chart‭ ‬deduces‭ ‬the‭ ‬existing‭ ‬charts‭ ‬to‭ ‬be‭ ‬its‭ ‬special‭ ‬cases.‭ ‬The‭ ‬necessary coefficients,‭ ‬which‭ ‬are‭ ‬required‭ ‬for‭ ‬the‭ ‬construction‭ ‬of‭ ‬modified‭ ‬EWMA‭ ‬chart, are‭ ‬determined‭ ‬for‭ ‬various‭ ‬choices‭ ‬of‭ ‬sample‭ ‬sizes‭ ‬and‭ ‬smoothing‭ ‬constants. The‭ ‬performance‭ ‬of‭ ‬the‭ ‬proposed‭ ‬modified‭ ‬EWMA‭ ‬is‭ ‬evaluated‭ ‬in‭ ‬terms‭ ‬of its‭ ‬run‭ ‬length‭ ‬(RL)‭ ‬characteristics‭ ‬such‭ ‬as‭ ‬average‭ ‬RL‭ ‬and‭ ‬standard‭ ‬deviation of‭ ‬RL.‭ ‬The‭ ‬efficiency‭ ‬of‭ ‬the‭ ‬modified‭ ‬EWMA‭ ‬chart‭ ‬is‭ ‬investigated‭ ‬and‭ ‬compared‭ ‬with‭ ‬some‭ ‬existing‭ ‬control‭ ‬charts.‭ ‬The‭ ‬comparison‭ ‬reveals‭ ‬the‭ ‬superiority‭ ‬of‭ ‬proposal‭ ‬as‭ ‬compared‭ ‬with‭ ‬other‭ ‬control‭ ‬charts‭ ‬in‭ ‬terms‭ ‬of‭ ‬early detection‭ ‬of‭ ‬shift‭ ‬in‭ ‬process‭ ‬variation.‭ ‬The‭ ‬application‭ ‬of‭ ‬the‭ ‬proposal‭ ‬is‭ ‬also demonstrated‭ ‬using‭ ‬a‭ ‬real‭-life‭ ‬dataset.

Keywords: Control‭ ‬charts; ‬modified‭ ‬EWMA‭ ‬statistic; ‭ ‬Monte‭ ‬Carlo‭ ‬simulation; ‭ ‬process‭ ‬variation; ‭ ‬run‭ ‬length (search for similar items in EconPapers)
Pages: 12
Date: 2021-01-01
Note: In: Quality and Reliability Engineering International ,2020, vol. 36(1), p. 328-339
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Persistent link: https://EconPapers.repec.org/RePEc:aiz:louvar:2021040

DOI: 10.1002/qre.2576

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