On moving average based location charts under modified successive sampling

Tahir Mahmood*, Mehvish Hyder, Syed Muhammad Muslim Raza, Muhammad Moeen Butt, Muhammad Riaz

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Ceramics are made up of water, clay, and powders. These are categorized as non-metallic and inorganic materials. It is revealed in the literature that Longquan celadon glaze had irregular cracks in glaze layers due to the relatively high content of N a 2 O . Therefore, it is necessary to monitor the influence of N a 2 O in the ceramic process. Control charts are a possible tool to monitor the changes in the ceramic process. For single event issues, simple random sampling strategy is utilized; however, modified successive sampling is preferred as the favored sampling strategy at regular intervals of time when the quality of any product is evaluated. Hence, this paper is designed to propose moving average M A M S S ( S ) and double moving average D M A M S S ( S ) based control charts to detect small to moderate location shifts using the modified successive sampling technique. We have highlighted the performance evaluations of designed control charts with respect to run-length metrics, and their comparison has been made with the existing S h e w h a r t M S S ( S ) control chart. The results revealed that the D M A M S S ( S ) performs more efficiently as compared to the S h e w h a r t M S S ( S ) and M A M S S ( S ) control charts. Further, to demonstrate the application of the designed charts, a dataset of the chemical composition of the ceramic is also utilized.
    Original languageEnglish
    Pages (from-to)506-523
    Number of pages18
    JournalHacettepe Journal of Mathematics & Statistics
    Volume53
    Issue number2
    Early online date1 Mar 2024
    DOIs
    Publication statusPublished - 23 Apr 2024

    Keywords

    • ceramics
    • control charts
    • moving average
    • quality control
    • statistical process monitoring

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