A. Sepulveda, “The Minimax Control Chart for Multivariate Quality Control,” Dissertation, Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, 1996. - References

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A. Sepulveda, “The Minimax Control Chart for Multivariate Quality Control,” Dissertation, Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, 1996.

has been cited by the following article:

TITLE: Minimax Multivariate Control Chart Using a Polynomial Function

AUTHORS: Johnson Ademola Adewara, Kayode Samuel Adekeye, Osebekwin Ebenezer Asiribo, Samuel Babatope Adejuyigbe

KEYWORDS: Minimax, Non-Linear Polynomial, Process, Maximum and Minimum

JOURNAL NAME: Applied Mathematics, Vol.2 No.12, December 27, 2011

ABSTRACT: Minimax control chart uses the joint probability distribution of the maximum and minimum standardized sample means to obtain the control limits for monitoring purpose. However, the derivation of the joint probability distribution needed to obtain the minimax control limits is complex. In this paper the multivariate normal distribution is integrated numerically using Simpson’s one third rule to obtain a non-linear polynomial (NLP) function. This NLP function is then substituted and solved numerically using Newton Raphson method to obtain the control limits for the minimax control chart. The approach helps to overcome the problem of obtaining the joint probability distribution needed for estimating the control limits of both the maximum and the minimum statistic for monitoring multivariate process.

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DOI: 10.4236/ojs.2012.25059 4,140 Downloads 6,660 Views Citations

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DOI: 10.4236/ojog.2018.813134 351 Downloads 550 Views Citations

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Ouattara Adama, Nde Ouédraogo Nina Astrid, Lankoandé Bako Natacha, Ouédraogo Smaila, Nare Amelie, Tougma Sanou Aline, Sawadogo Yobi Alexis, Millogo Traoré Francoise, Ouédraogo Marie Charlemagne, Ouédraogo Ali, Thieba Bonané Blandine

DOI: 10.4236/ojog.2018.813141 261 Downloads 455 Views Citations

Pub. Date: November 12, 2018

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