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AuthorArslan, Muhammad
AuthorAshraf, Muhammad Azeem
AuthorAnwar, Syed Masroor
AuthorRasheed, Zahid
AuthorHu, Xuelong
AuthorAbbasi, Saddam Akbar
Available date2023-05-28T10:11:28Z
Publication Date2022
Publication NameMathematical Problems in Engineering
ResourceScopus
URIhttp://dx.doi.org/10.1155/2022/1362193
URIhttp://hdl.handle.net/10576/43514
AbstractThe classical cumulative SUM (CUSUM) chart is commonly used to monitor a particular size of the mean shift. In many real processes, it is assumed that the shift level varies within a range, and the exact level of the shift size is mostly unknown. For detecting a range of shift size, the dual-CUSUM (DC) and dual-Crosier CUSUM (DCC) charts are used to provide better detection ability as compared to the CUSUM and Crosier CUSUM (CC) charts, respectively. This paper introduces a new mixed exponentially weighted moving average (EWMA)-DCC (EDCC) chart to monitor process mean. In addition, AIB-based EWMA-DC (EDC) and EDCC charts (namely, AIB-EDC and AIB-EDCC charts) are suggested to detect shifts in the process mean level. Monte Carlo simulations are used to compute the run length (RL) characteristics of the proposed charts. A detailed comparison of the proposed schemes with other competing charts is also provided. It turns out that the proposed chart provides better performance than the counterparts when detecting a range of mean shift sizes. A real-life application is also presented to illustrate the implementation of the existing and proposed charts. 2022 Muhammad Arslan et al.
Languageen
PublisherHindawi Limited
SubjectIntelligent systems
Monte Carlo methods
Auxiliary information
CUSUM chart
Detection ability
Exponentially weighted moving average
Mean charts
Mean shift
Monte Carlo's simulation
Performance
Process mean
Run length
Graphic methods
TitleNovel Mixed EWMA Dual-Crosier CUSUM Mean Charts without and with Auxiliary Information
TypeArticle
Volume Number2022
dc.accessType Open Access


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