Performance of Moving Average (MA) Chart Under Three Delta Control Limits and Six Delta Initiatives

Authors

  • Kalpesh S Tailor Department of Statistics, M. K. Bhavnagar University, Bhavnagar, 364 001, Gujarat, India

DOI:

https://doi.org/10.15415/mjis.2019.72020

Keywords:

Moderate distribution, Moving average, Mean deviation, Six Delta

Abstract

An SQC chart is a graphical tool for representation of the data for knowing the extent of variations from the expected standard. This technique was first suggested by W.A. Shewhart of Bell Telephone Company based on 3σ limits. M. Harry, the engineer of Motorola has introduced the concept of six sigma in 1980. In 6σ limits, it is presumed to attain 3.4 or less number of defects per million of opportunities. Naik V.D and Desai J.M proposed an alternative of normal distribution, which is named as moderate distribution. The parameters of this distribution are mean and mean deviation. Naik V.D and Tailor K.S. have suggested the concept of 3-delta control limits and developed various control charts based on this distribution. Using these concepts, control limits based on 6-delta is suggested in this paper. Also the moving average chart is studied by using 6-delta methodology. A ready available table for mean deviation is prepared for the quality control experts for taking fast actions. 

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References

Montgomery, D. C. (2007). Introduction to Statistical Quality Control, 4Th Edition, John Wiley and sons.

Naik, V. D., Desai, J. M. (2015). Moderate Distribution: A modified normal distribution which has Mean as location parameter and Mean Deviation as scale parameter, VNSGU Journal of Science and Technology, 4, 1, 256–270

Naik, V. D.,Tailor, K. S. (2015). On performance of and R-charts under the assumption of moderateness rather than normality and with 3 control limits rather than 3 control limits, VNSGU Journal of Science and Technology, 4, 1, 243–255.

Radhakrishnan, R., Balamurugan, P. (2010). Six Sigma based Exponentially Weighted Moving Average Control Chart, Indian journal of Science and Technology (IJST), 3, 10, October, 1052–1055.

Radhakrishnan, R., Balamurugan, P. (2011). Construction of control chart based on six sigma initiatives for moving average, International Journal of Current Scientific Research, 1, 3, 111–114.

Radhakrishnan, R., Balamurugan, P. (2016). Construction of control chart based on six sigma initiatives for standard deviation ,American International Journal of Research in Science, Technology, Engineering & Mathematics, June- August , 245–248.

Ravichandran, J. (2016). Six Sigma Based X-bar control chart for Continuous Quality Improvement, International Journal for Quality Research, 10, Issue.2, 257–266. https://doi.org/10.18421/IJQR10.02-02

Shewhart, W. A. (1931). Economic Control of Quality of Manufactured Product, New York: Van Nostrand.

Tailor, K. S. (2016). Moving Average And Moving Range Charts Under The Assumption Of Moderateness And Its 3 Control Limits, Sankhya Vignan, December-2016, 2, 18–31.

Tailor, K. S. (2017). Exponentially Weighted Moving Average (EWMA)Charts Under The Assumption Of Moderateness And Its 3-delta Control Limits, Mathematical Journal of Interdisciplinary Sciences(MJIS), March-2017, 5, No. 2, 121–129, https://doi.org/10.15415/mjis.2017.52009

Tailor, K. S. (2017). Sample Standard Deviation(s) Chart Under The Assumption Of Moderateness And Its Performance Analysis, International Journal of Research-Granthaalayah (IJRG), 5, Issue 6, June -2017, 368–377. https://doi.org/10.5281/zenodo.821537

Tailor, K. S (2018). Exponentially Weighted Moving Average (EWMA) Chart Based on Six Delta Initiatives, Mathematical Journal of Interdisciplinary Sciences(MJIS), March-201, 6, 2, 121–135. https://doi.org/10.15415/mjis.2018.62010

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Published

2019-03-06

How to Cite

Kalpesh S Tailor. 2019. “Performance of Moving Average (MA) Chart Under Three Delta Control Limits and Six Delta Initiatives”. Mathematical Journal of Interdisciplinary Sciences 7 (2):157-60. https://doi.org/10.15415/mjis.2019.72020.

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