On moving average based location charts under modified successive sampling

Tahir Mahmood; Mehvish Hyder; Syed Muhammad Muslim Raza; Muhammad Moeen; Muhammad Riaz

Makale detayları

On moving average based location charts under modified successive sampling

Yazarlar:

Tahir Mahmood | Mehvish Hyder | Syed Muhammad Muslim Raza | Muhammad Moeen | Muhammad Riaz

Yayıncı:

Hacettepe University

Ana Başlıklar:

Statistics

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 2, pp.506-523

Belge Tipi:

Makale

Yayın Tarihi:

4/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001315594

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 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 Na_2O. Therefore, it is necessary to monitor the influence of Na_2O 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_MSSleft S right and double moving average DMA_MSSleft S right 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 Shewhart_MSSleft S right;control chart. The results revealed that the DMA_MSSleft S right performs more efficiently as compared to the Shewhart_MSSleft S right and MA_MSSleft S right;control charts. Further, to demonstrate the application of the designed charts, a dataset of the chemical composition of the ceramic is also utilized.

 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 Na_2O. Therefore, it is necessary to monitor the influence of Na_2O 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_MSSleft S right and double moving average DMA_MSSleft S right 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 Shewhart_MSSleft S right;control chart. The results revealed that the DMA_MSSleft S right performs more efficiently as compared to the Shewhart_MSSleft S right and MA_MSSleft S right;control charts. Further, to demonstrate the application of the designed charts, a dataset of the chemical composition of the ceramic is also utilized.

 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 Na_2O. Therefore, it is necessary to monitor the influence of Na_2O 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_MSSleft S right and double moving average DMA_MSSleft S right 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 Shewhart_MSSleft S right;control chart. The results revealed that the DMA_MSSleft S right performs more efficiently as compared to the Shewhart_MSSleft S right and MA_MSSleft S right;control charts. Further, to demonstrate the application of the designed charts, a dataset of the chemical composition of the ceramic is also utilized.

 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 Na_2O. Therefore, it is necessary to monitor the influence of Na_2O 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_MSSleft S right and double moving average DMA_MSSleft S right 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 Shewhart_MSSleft S right;control chart. The results revealed that the DMA_MSSleft S right performs more efficiently as compared to the Shewhart_MSSleft S right and MA_MSSleft S right;control charts. Further, to demonstrate the application of the designed charts, a dataset of the chemical composition of the ceramic is also utilized.

Makale detayları

On moving average based location charts under modified successive sampling

Yazarlar:

Tahir Mahmood | Mehvish Hyder | Syed Muhammad Muslim Raza | Muhammad Moeen | Muhammad Riaz

Yayıncı:

Hacettepe University

Ana Başlıklar:

Statistics

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 2, pp.506-523

Belge Tipi:

Makale

Yayın Tarihi:

4/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001315594

pISSN:

2651-477X

Ceramics

control charts

moving average

quality control

statistical process monitoring

Sayı

Makale detayları

On moving average based location charts under modified successive sampling

Yazarlar: Tahir Mahmood | Mehvish Hyder | Syed Muhammad Muslim Raza | Muhammad Moeen | Muhammad Riaz

Yayıncı: Hacettepe University

Ana Başlıklar: Statistics

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 2, pp.506-523

Belge Tipi: Makale

Yayın Tarihi: 4/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001315594

pISSN: 2651-477X

Ceramics

control charts

moving average

quality control

statistical process monitoring

Sayı

Yazarlar:

Tahir Mahmood | Mehvish Hyder | Syed Muhammad Muslim Raza | Muhammad Moeen | Muhammad Riaz

Yayıncı:

Hacettepe University

Ana Başlıklar:

Statistics

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 2, pp.506-523

Belge Tipi:

Makale

Yayın Tarihi:

4/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001315594

pISSN:

2651-477X