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Article

Shewhart Attribute and Variable Control Charts Using Modified Multiple Dependent State Sampling

1
Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia
2
Department of Statistics, University of Veterinary and Animal Sciences, Lahore, Jhang campus, Lahore 54000, Pakistani
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(1), 53; https://doi.org/10.3390/sym11010053
Submission received: 4 December 2018 / Revised: 25 December 2018 / Accepted: 30 December 2018 / Published: 5 January 2019

Abstract

In this article, modified multiple dependent (or deferred) state sampling control charts for the attribute and the variable quality characteristics are presented. The proposed control charts are designed using the symmetry property of the normal distribution. The control chart coefficients are estimated through simulation at different levels of the parameters using the normal distribution. The proposed control chart scheme is evaluated by calculating the in-control average run lengths and out-of-control average run lengths. Tables are constructed for the selection of parameters for different control limit coefficients under several shift levels for the attribute data as well as the variable data. Examples are included for the practical application of the proposed control chart schemes. The proposed control chart scheme is also compared with the existing control charts. It has been observed that the proposed schemes are better in quick detection of the out-of-control processes.
Keywords: multiple dependent state sampling; control chart; attribute chart; average run length; process monitoring multiple dependent state sampling; control chart; attribute chart; average run length; process monitoring

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MDPI and ACS Style

Aslam, M.; Khan, N.; Albassam, M. Shewhart Attribute and Variable Control Charts Using Modified Multiple Dependent State Sampling. Symmetry 2019, 11, 53. https://doi.org/10.3390/sym11010053

AMA Style

Aslam M, Khan N, Albassam M. Shewhart Attribute and Variable Control Charts Using Modified Multiple Dependent State Sampling. Symmetry. 2019; 11(1):53. https://doi.org/10.3390/sym11010053

Chicago/Turabian Style

Aslam, Muhammad, Nasrullah Khan, and Mohammed Albassam. 2019. "Shewhart Attribute and Variable Control Charts Using Modified Multiple Dependent State Sampling" Symmetry 11, no. 1: 53. https://doi.org/10.3390/sym11010053

APA Style

Aslam, M., Khan, N., & Albassam, M. (2019). Shewhart Attribute and Variable Control Charts Using Modified Multiple Dependent State Sampling. Symmetry, 11(1), 53. https://doi.org/10.3390/sym11010053

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