التفاصيل البيبلوغرافية
| العنوان: |
New run sum t charts with variable sampling intervals for process mean. |
| المؤلفون: |
Mim, Faijun Nahar, Khoo, Michael B. C., Saha, Sajal, Haq, Abdul |
| المصدر: |
Communications in Statistics: Simulation & Computation; 2022, Vol. 51 Issue 9, p5350-5372, 23p |
| مصطلحات موضوعية: |
QUALITY control charts, SAMPLING (Process), STANDARD deviations, MOVING average process, UNITS of time |
| مستخلص: |
The t chart is commonly used as an alternative to the Shewhart mean chart when the process standard deviation is not known in advance. In this paper, we develop variable sampling interval (VSI) based run sum (RS) t charts for monitoring the mean of a normal process when the process mean is either known or estimated, namely the VSI RS t charts. The sensitivity of the proposed chart with known process mean is evaluated and compared with the existing RS t and VSI exponentially weighted moving average t charts, in terms of average time to signal (ATS) and standard deviation of the time to signal (SDTS) criteria, while average of the ATSs (AATS) criterion is used when the process mean is estimated. Quantitative results lead us to conclude that the proposed chart with known process mean generally outperforms the existing charts in detecting the mean shift. Additionally, the AATS performance of the VSI RS t chart with estimated process mean is assessed using the standard deviation of ATS criterion. The minimum number of Phase-I samples to estimate the process mean so that the VSI RS t chart with estimated process mean has the desired in-control AATS performance is provided. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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