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- W4386474985 abstract "A recent study explored the construction of the Shewhart median (S-M) chart by utilizing the percentile-based (PL) method. By using the PL method, practitioners can ascertain that the required conditions on run length (RL) performances for both in-control (IC) and out-of-control (OC) cases are met with desired probabilities. They conducted a comprehensive investigation on the IC and OC capabilities of the S-M chart utilizing the average run length (ARL), median run length (MRL), and PL methods for known shift sizes, and concluded that by adopting the PL method, the S-M chart demonstrated a noteworthy enhancement in the IC performance in comparison to the ARL method without causing much deterioration to the OC performance when $deltageq 1.5$. However, in various practical scenarios, the exact shift size is commonly unknown. Hence, we propose a new performance measure called the expected percentile run length (EPRL), where 50 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>th</sup> EPRL is equivalent to expected MRL (EMRL). It can be inferred that by adopting the PL method, the S-M chart demonstrated a noteworthy enhancement in the IC performance in comparison to the ARL method without causing much deterioration to the OC performance when $(delta_{mathrm{m}ln},delta_{max})=(1.5,2.0)$ for unknown shift sizes. We illustrate the application of the proposed method using a real-life example based on the hard-baking process." @default.
- W4386474985 created "2023-09-07" @default.
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- W4386474985 date "2023-08-25" @default.
- W4386474985 modified "2023-09-27" @default.
- W4386474985 title "Construction of the Shewhart Median Chart Based on the Expected Percentile Run Length" @default.
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- W4386474985 doi "https://doi.org/10.1109/iccsce58721.2023.10237176" @default.
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