Increasing the efficiency of double moving average chart using auxiliary variable

Amir, Muhammad Wasim; Rani, Mishal; Abbas, Zameer; Nazir, Hafız Zafar; Riaz, Muhammad; Akhtar, Noureen

doi:10.1080/00949655.2021.1909588

Cited by 6 publications

(3 citation statements)

References 33 publications

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“…Abid et al 33 . and Amir et al 34 ARL1$AR{L}_1$ represent the OOC ARL and

AR{L}_0

denotes the IC ARL.…”

Section: Design and Simulation Settingmentioning

confidence: 99%

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On monitoring the standard deviation of log‐normal process

Akhtar,

Abid,

Amir

et al. 2024

Quality & Reliability Eng

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Control charts are widely used in the manufacturing and service sectors to track, regulate, and enhance process output. A manufacturing industry desires to utilize a control chart that has an effective structure and is sensitive to detect infrequent variations in the process. Generally, control charts are developed with the presumption that the understudy quality variable is normally distributed. In actual application, many processes have skewed distributions. The purpose of this study is to use the moving average (MA) charts to track the dispersion of a log‐normal distribution. The design of the proposals is developed and the performance is assessed by run‐length properties. The cumulative distributions of run‐length under in‐control and out‐of‐control are provided to have a broad view of the performance. The simulation findings show that when the value of the log‐normal dispersion parameter is large, the proposed chart is more sensitive to the changes in the dispersion. Additionally, an industrial application is given to illustrate the suggested charts in this research.

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“…Abid et al 33 . and Amir et al 34 ARL1$AR{L}_1$ represent the OOC ARL and

AR{L}_0

denotes the IC ARL.…”

Section: Design and Simulation Settingmentioning

confidence: 99%

“…Abid et al 33 and Amir et al 34 ), where the 𝐴𝑅𝐿 1 represent the OOC ARL and 𝐴𝑅𝐿 0 denotes the IC ARL. The effect of the subgroup size, sample size, and span are also observed in both conditions when 𝜎 < 1 and 𝜎 > 1.…”

Section: Performance Evaluationmentioning

confidence: 99%

On monitoring the standard deviation of log‐normal process

Akhtar,

Abid,

Amir

et al. 2024

Quality & Reliability Eng

Self Cite

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“…Khoo and Wong [22] proposed a modified form of the MA chart named as double moving DMA chart, which improves the performance of the MA chart to detect small to moderate shifts in the mean. Amir et al [9] used a DMA chart for the monitoring of location parameter using auxiliary information. To get the optimal parameters of the DMA chart, a zero-inflated Binomial process based on the DMA scheme was developed by [10].…”

Section: Introductionmentioning

confidence: 99%

On moving average based location charts under modified successive sampling

Mahmood,

Hyder,

Raza

et al. 2024

Hacettepe Journal of Mathematics and Statistics

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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 a2O. Therefore, it is necessary to monitor the influence of N a2O 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 ({MA}_{MSS(S)}) and double moving average ({DMA}_{MSS(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 ShewhartMSS(S) control chart. The results revealed that the ({DMA}_{MSS(S)}) performs more efficiently as compared to the ShewhartMSS(S) and ({MA}_{MSS(S)}) control charts. Further, to demonstrate the application of the designed charts, a dataset of the chemical composition of the ceramic is also utilized.

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