Application of Statistical Process Control in a Production Process

Maruf Ariyo Raheem; Aramide Titilayo Gbolahan; Itohowo Eseme Udoada

doi:doi:10.11648/j.sjams.20160401.11

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Application of Statistical Process Control in a Production Process

Maruf Ariyo Raheem, Aramide Titilayo Gbolahan, Itohowo Eseme Udoada

Published in Science Journal of Applied Mathematics and Statistics (Volume 4, Issue 1)

Received: 29 December 2015 Accepted: 6 January 2016 Published: 31 January 2016

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Abstract

This study evaluates the process of production of Champion Breweries Plc., located at Aka Offot, Uyo, Akwa Ibom State Nigeria. The information on the following measurable characteristics used during production were obtained; Brilliance (Haze), pH, Original Gravity (O.G) and Alcohol Percentage. Information on the number of defective crates recorded for the period of fifteen (15) days on Amstel Malta were also obtained from the bottling section. Mean (X ̅) and Range (R) control charts for variable were adopted to ascertain if the process with respect to each quality characteristics is statistically in control. The result shows that, the out-of-control points for BRILLANCE (B) were four (4) and one (1) out of twenty (20) for the mean and range charts respectively. For pH: two (2) and one (1) out of control for mean and range charts respectively. For Original Gravity (O.G): five and zero were out of control for mean and range charts respectively. For Alcohol Percentage (A): twelve and zero were out-of-control for mean and range charts respectively. Since the out-of-control points for Alcohol have exceeded the average of all points, the entire process is disregarded, and hence the process has to be overhauled. Using the P-chart to examine the defects in the finished produce daily for 15 days; it was found that 11 points were out of control, also the need for overhaul of the entire production line. Given the overall findings it could be deduced that the process was largely out-of-control, hence the need for total overhaul and the revised control schemes as appropriate. Thus, revised control schemes were formulated for the different quality characteristics for the process to be in control and the following control schemes were proposed for the future upper and lower specifications: B (X ̅: 0.6563, 0.2738; R: 0.4940, 0.00), pH (X ̅: 3.9786, 3.7916; R; 0.2871, 0.00).

Published in	Science Journal of Applied Mathematics and Statistics (Volume 4, Issue 1)
DOI	10.11648/j.sjams.20160401.11
Page(s)	1-11
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Statistical Quality Control (SQC), Statistical Process Control (SPC), Total Quality Management (TQM), Control Charts and Control Limits

References

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[3]	BREYFOGLE III, F. W., CUPELLO, J. M. and MEADOWS, B., (2000): Managing Six sigma: A practical Guide to Understanding, Assessing, and Implementing the Strategy that Yields Bottom-line Success; John Wiley & Sons.
[4]	CHEN, Long-Fei, HSIAO, Chih-Hui and TSAI, Chin-Fa (2010): Three-stage-DEA model selections and Managerial Decision. African Journal of Business Management, 4 (14), pp. 3046-3055.
[5]	KAYE, J. A. M. and FRANGOU, A., (1998): A strategic methodology to the use of advanced statistical quality improvement techniques; The TQM magazine, 10(3), pp. 169-176.
[6]	MILTON, J. S. and ARNOLD, J. C., (2002). Introduction to probability and statistics: principles and applications for engineering and the computing sciences. McGraw-Hill, Inc.
[7]	MONTGOMERY, D. C., (2007): Introduction to statistical quality control; John Wiley & Sons.
[8]	OAKLAND, J. S., (2008): Statistical Process Control. Routledge.
[9]	OTT, L. and LONGNECKER, M. (2001): An Introduction to Statistical Methods and Data Analysis; Duxbury Pacific Grove, CA.
[10]	PETERS, T. J. and WATERMAN, R., (1982): In search of excellence, New York: Harper & Row, 3(1), pp. 212-217.
[11]	Raheem, M. A., (2012): Statistical Quality Control. The SQC Lecture Notebook (Unpublished).
[12]	SHAHIAN, D. M., WILLIAMSON, W. A., SVENSSON, L. G., RESTUCCIA, J. D. and D'AGOSTINO, R. S., (1996): Applications of statistical quality control to cardiac surgery. The Annals of Thoracic Surgery, 62(5), pp. 1351-1359.
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[14]	SHEWHART, W. A., (1924): Some applications of statistical methods to the analysis of physical and engineering data. Bell System Technical Journal; 3(1), pp. 43-87.
[15]	SMITH, G., (1998): Statistical process control and quality improvement; Prentice Hall.
[16]	THOR, J., LUNDBERG, J., ASK, J., OLSSON, J., CARLI, C., HARENSTAM, K. P. and BROMMELS, M., (2007): Application of statistical process control in healthcare improvement: systematic review. Quality & safety in health care, 16(5), pp. 387-399.
[17]	XIE, M. and GOH, T., (1999): Statistical Techniques for Quality; The TQM Magazine, 11(4), pp. 238-242.

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APA Style

Maruf Ariyo Raheem, Aramide Titilayo Gbolahan, Itohowo Eseme Udoada. (2016). Application of Statistical Process Control in a Production Process. Science Journal of Applied Mathematics and Statistics, 4(1), 1-11. https://doi.org/10.11648/j.sjams.20160401.11

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ACS Style

Maruf Ariyo Raheem; Aramide Titilayo Gbolahan; Itohowo Eseme Udoada. Application of Statistical Process Control in a Production Process. Sci. J. Appl. Math. Stat. 2016, 4(1), 1-11. doi: 10.11648/j.sjams.20160401.11

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AMA Style

Maruf Ariyo Raheem, Aramide Titilayo Gbolahan, Itohowo Eseme Udoada. Application of Statistical Process Control in a Production Process. Sci J Appl Math Stat. 2016;4(1):1-11. doi: 10.11648/j.sjams.20160401.11

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@article{10.11648/j.sjams.20160401.11,
  author = {Maruf Ariyo Raheem and Aramide Titilayo Gbolahan and Itohowo Eseme Udoada},
  title = {Application of Statistical Process Control in a Production Process},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {4},
  number = {1},
  pages = {1-11},
  doi = {10.11648/j.sjams.20160401.11},
  url = {https://doi.org/10.11648/j.sjams.20160401.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20160401.11},
  abstract = {This study evaluates the process of production of Champion Breweries Plc., located at Aka Offot, Uyo, Akwa Ibom State Nigeria. The information on the following measurable characteristics used during production were obtained; Brilliance (Haze), pH, Original Gravity (O.G) and Alcohol Percentage. Information on the number of defective crates recorded for the period of fifteen (15) days on Amstel Malta were also obtained from the bottling section. Mean (X ̅) and Range (R) control charts for variable were adopted to ascertain if the process with respect to each quality characteristics is statistically in control. The result shows that, the out-of-control points for BRILLANCE (B) were four (4) and one (1) out of twenty (20) for the mean and range charts respectively. For pH: two (2) and one (1) out of control for mean and range charts respectively. For Original Gravity (O.G): five and zero were out of control for mean and range charts respectively. For Alcohol Percentage (A): twelve and zero were out-of-control for mean and range charts respectively. Since the out-of-control points for Alcohol have exceeded the average of all points, the entire process is disregarded, and hence the process has to be overhauled. Using the P-chart to examine the defects in the finished produce daily for 15 days; it was found that 11 points were out of control, also the need for overhaul of the entire production line. Given the overall findings it could be deduced that the process was largely out-of-control, hence the need for total overhaul and the revised control schemes as appropriate. Thus, revised control schemes were formulated for the different quality characteristics for the process to be in control and the following control schemes were proposed for the future upper and lower specifications: B (X ̅: 0.6563, 0.2738; R: 0.4940, 0.00), pH (X ̅: 3.9786, 3.7916; R; 0.2871, 0.00).},
 year = {2016}
}

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TY  - JOUR
T1  - Application of Statistical Process Control in a Production Process
AU  - Maruf Ariyo Raheem
AU  - Aramide Titilayo Gbolahan
AU  - Itohowo Eseme Udoada
Y1  - 2016/01/31
PY  - 2016
N1  - https://doi.org/10.11648/j.sjams.20160401.11
DO  - 10.11648/j.sjams.20160401.11
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 1
EP  - 11
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20160401.11
AB  - This study evaluates the process of production of Champion Breweries Plc., located at Aka Offot, Uyo, Akwa Ibom State Nigeria. The information on the following measurable characteristics used during production were obtained; Brilliance (Haze), pH, Original Gravity (O.G) and Alcohol Percentage. Information on the number of defective crates recorded for the period of fifteen (15) days on Amstel Malta were also obtained from the bottling section. Mean (X ̅) and Range (R) control charts for variable were adopted to ascertain if the process with respect to each quality characteristics is statistically in control. The result shows that, the out-of-control points for BRILLANCE (B) were four (4) and one (1) out of twenty (20) for the mean and range charts respectively. For pH: two (2) and one (1) out of control for mean and range charts respectively. For Original Gravity (O.G): five and zero were out of control for mean and range charts respectively. For Alcohol Percentage (A): twelve and zero were out-of-control for mean and range charts respectively. Since the out-of-control points for Alcohol have exceeded the average of all points, the entire process is disregarded, and hence the process has to be overhauled. Using the P-chart to examine the defects in the finished produce daily for 15 days; it was found that 11 points were out of control, also the need for overhaul of the entire production line. Given the overall findings it could be deduced that the process was largely out-of-control, hence the need for total overhaul and the revised control schemes as appropriate. Thus, revised control schemes were formulated for the different quality characteristics for the process to be in control and the following control schemes were proposed for the future upper and lower specifications: B (X ̅: 0.6563, 0.2738; R: 0.4940, 0.00), pH (X ̅: 3.9786, 3.7916; R; 0.2871, 0.00).
VL  - 4
IS  - 1
ER  -

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Author Information

Maruf Ariyo Raheem

Department of Mathematics & Statistics, University of Uyo, Uyo, Nigeria
Aramide Titilayo Gbolahan

Department of Computing and Information Systems, Sheffield Hallam University, Sheffield, UK
Itohowo Eseme Udoada

Department of Mathematics & Statistics, University of Uyo, Uyo, Nigeria

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Plain Text BibTeX RIS

APA Style

Maruf Ariyo Raheem, Aramide Titilayo Gbolahan, Itohowo Eseme Udoada. (2016). Application of Statistical Process Control in a Production Process. Science Journal of Applied Mathematics and Statistics, 4(1), 1-11. https://doi.org/10.11648/j.sjams.20160401.11

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ACS Style

Maruf Ariyo Raheem; Aramide Titilayo Gbolahan; Itohowo Eseme Udoada. Application of Statistical Process Control in a Production Process. Sci. J. Appl. Math. Stat. 2016, 4(1), 1-11. doi: 10.11648/j.sjams.20160401.11

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AMA Style

Maruf Ariyo Raheem, Aramide Titilayo Gbolahan, Itohowo Eseme Udoada. Application of Statistical Process Control in a Production Process. Sci J Appl Math Stat. 2016;4(1):1-11. doi: 10.11648/j.sjams.20160401.11

Copy | Download

@article{10.11648/j.sjams.20160401.11,
  author = {Maruf Ariyo Raheem and Aramide Titilayo Gbolahan and Itohowo Eseme Udoada},
  title = {Application of Statistical Process Control in a Production Process},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {4},
  number = {1},
  pages = {1-11},
  doi = {10.11648/j.sjams.20160401.11},
  url = {https://doi.org/10.11648/j.sjams.20160401.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20160401.11},
  abstract = {This study evaluates the process of production of Champion Breweries Plc., located at Aka Offot, Uyo, Akwa Ibom State Nigeria. The information on the following measurable characteristics used during production were obtained; Brilliance (Haze), pH, Original Gravity (O.G) and Alcohol Percentage. Information on the number of defective crates recorded for the period of fifteen (15) days on Amstel Malta were also obtained from the bottling section. Mean (X ̅) and Range (R) control charts for variable were adopted to ascertain if the process with respect to each quality characteristics is statistically in control. The result shows that, the out-of-control points for BRILLANCE (B) were four (4) and one (1) out of twenty (20) for the mean and range charts respectively. For pH: two (2) and one (1) out of control for mean and range charts respectively. For Original Gravity (O.G): five and zero were out of control for mean and range charts respectively. For Alcohol Percentage (A): twelve and zero were out-of-control for mean and range charts respectively. Since the out-of-control points for Alcohol have exceeded the average of all points, the entire process is disregarded, and hence the process has to be overhauled. Using the P-chart to examine the defects in the finished produce daily for 15 days; it was found that 11 points were out of control, also the need for overhaul of the entire production line. Given the overall findings it could be deduced that the process was largely out-of-control, hence the need for total overhaul and the revised control schemes as appropriate. Thus, revised control schemes were formulated for the different quality characteristics for the process to be in control and the following control schemes were proposed for the future upper and lower specifications: B (X ̅: 0.6563, 0.2738; R: 0.4940, 0.00), pH (X ̅: 3.9786, 3.7916; R; 0.2871, 0.00).},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Application of Statistical Process Control in a Production Process
AU  - Maruf Ariyo Raheem
AU  - Aramide Titilayo Gbolahan
AU  - Itohowo Eseme Udoada
Y1  - 2016/01/31
PY  - 2016
N1  - https://doi.org/10.11648/j.sjams.20160401.11
DO  - 10.11648/j.sjams.20160401.11
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 1
EP  - 11
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20160401.11
AB  - This study evaluates the process of production of Champion Breweries Plc., located at Aka Offot, Uyo, Akwa Ibom State Nigeria. The information on the following measurable characteristics used during production were obtained; Brilliance (Haze), pH, Original Gravity (O.G) and Alcohol Percentage. Information on the number of defective crates recorded for the period of fifteen (15) days on Amstel Malta were also obtained from the bottling section. Mean (X ̅) and Range (R) control charts for variable were adopted to ascertain if the process with respect to each quality characteristics is statistically in control. The result shows that, the out-of-control points for BRILLANCE (B) were four (4) and one (1) out of twenty (20) for the mean and range charts respectively. For pH: two (2) and one (1) out of control for mean and range charts respectively. For Original Gravity (O.G): five and zero were out of control for mean and range charts respectively. For Alcohol Percentage (A): twelve and zero were out-of-control for mean and range charts respectively. Since the out-of-control points for Alcohol have exceeded the average of all points, the entire process is disregarded, and hence the process has to be overhauled. Using the P-chart to examine the defects in the finished produce daily for 15 days; it was found that 11 points were out of control, also the need for overhaul of the entire production line. Given the overall findings it could be deduced that the process was largely out-of-control, hence the need for total overhaul and the revised control schemes as appropriate. Thus, revised control schemes were formulated for the different quality characteristics for the process to be in control and the following control schemes were proposed for the future upper and lower specifications: B (X ̅: 0.6563, 0.2738; R: 0.4940, 0.00), pH (X ̅: 3.9786, 3.7916; R; 0.2871, 0.00).
VL  - 4
IS  - 1
ER  -

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