Construction of Control Chart Based on Six Sigma Initiatives for Regression

Authors

  • R. Radhakrishnan  Advisor, Maharaja Group of Institutions, Perundurai, Tamilnadu, India
  • P. Balamurugan  Department of Statistics, Government Arts College (Autonomous), Salem, Tamilnadu, India

Keywords:

Control Chart, Process control, Six Sigma, Six Sigma Quality Level.

Abstract

A control chart is a statistical device used for the study and control of repetitive process. W.A. Shewhart [21] of Bell Telephone Laboratories suggested control charts based on the 3 sigma limits. Now the companies in developed and developing countries started applying Six Sigma initiatives in their manufacturing process, which results in lesser number of defects. The companies practicing Six Sigma initiatives are expected to produce 3.4 or less number of defects per million opportunities, a concept suggested by Motorola [22]. If the companies practicing Six Sigma initiatives use the control limits suggested by Shewhart, then no point fall outside the control limits because of the improvement in the quality of the process. In this paper an attempt is made to construct a control chart based on six sigma initiatives for Regression specially designed for the companies applying Six Sigma initiatives in their organization. Suitable Table – 2 is also constructed and presented for the engineers to take quick decisions.

References

  1. Amitava Mitra, 2001, "Fundamentals of Quality control and improvement", Pearson Education, Asia.
  2. Radhakrishnan, R., 2009, "Construction of Six Sigma Based Sampling Plans", a D.Sc. Thesis submitted to Bharathiar University, Coimbatore, India.
  3. Radhakrishnan, R. and Balamurugan, P. 2009a. "Six sigma based Attribute control charts for defects", Proceedings of the 2009 International Marketing in Asia Pacific: Issues and Challenges, GRD School of Commerce and International Business, Coimbatore, Tamilnadu, India and Jointly Organized by University of central Lancashire, Nov 4-5, pp. 348-353.
  4. Radhakrishnan, R. and Balamurugan, P. 2009b. "Construction of control charts based on six sigma initiatives", Proceedings of the 2009 International Conference on Trends in Information Technology and Business Intelligence (ITBI 2009), Institute of Management Technology, Nagpur, India. Nov 4-6, pp. 356-361.
  5. Radhakrishnan, R. and Balamurugan, P. 2009c. "Six sigma based ‘u’ chart", Proceedings of the 2009 International Conference on Innovative Practices in Management (IPM ? 2009), Paavai Engineering College, Namakkal, Tamilnadu, India. Dec 31st, pp. 365-367.
  6. Radhakrishnan, R. and Balamurugan, P. 2010a. "Six Sigma based Control charts for the number of defectives", Proceedings of the 2010 International Conference on Industrial Engineering and Operations Management (IEOM 2010) organized by Bangladesh Society of Mechanical Engineers, Dhaka, Bangladesh, Jan 9-10, pp. 92.
  7. Radhakrishnan, R. and Balamurugan, P. 2010b. "Construction of six sigma based XBar control chart using standard deviation", International Journal of Statistics and System, Volume 6, Number 1, Issue date 2nd Week January, (accepted for publication).
  8. Radhakrishnan R. and Balamurugan, P. 2010c. "Six Sigma based Exponentially Weighted Moving Average Control Chart", Indian journal of Science and Technology, Issue No: 9 ? 10, Vol. 3, pp. 1052 ? 1055.?????
  9. Radhakrishnan R. and Balamurugan, P. 2010d. "Control charts based on six sigma Initiatives for proportion defectives and number of defectives", International Journal of Manufacturing Science and Engineering, Volume.1 No.2., (July ? December), pp: 49-53.
  10. Radhakrishnan, R. and Balamurugan, P. 2011a. "Six sigma based Control Chart for Fraction Defectives", Journal of Testing and Evaluation, Volume 39, Issue 4, Issue date 11th July, (accepted for publication).
  11. Radhakrishnan, R. and Balamurugan, P. 2011b. "Construction of control chart based on six sigma initiatives for standard deviation with variable sample size", Proceedings of the 2011 National conference on Trends and Research in Management, Oxford Engineering College, Trichy, Tamilnadu, India, 28th January, 2011, pp. 218-222.
  12. Radhakrishnan, R. and Balamurugan, P. 2011c. "Construction of control charts based on six sigma Initiatives for average number of nonconformities per multiple units", International Journal of Industrial Engineering & Technology, Volume 3, Number 1, pp.99-105.
  13. Radhakrishnan, R. and Balamurugan, P. 2011d. "Construction of control chart based on six sigma initiatives for number of defectives", Proceedings of the 2011 International conference on Global Challenges of Emergent India - A Management Perspective, Vivekanandha Institute of Information & Management Studies (VIIMS), Trichencode, Namakkal, Tamilnadu, India, 14-15, February (Accepted for publication in Proceedings).
  14. Radhakrishnan, R. and Balamurugan, P. 2011e. "Construction of control charts based on six sigma Initiatives for the number of defects and average number of defects per unit", Journal of Modern Applied Statistical Methods, (Accepted for publication).
  15. Radhakrishnan, R., and Sivakumaran, P.K., 2008a, "Construction and Selection of Six Sigma Sampling Plan Indexed through Six Sigma Quality Level," International Journal of Statistics and Systems, 3(2), 53-159.
  16. Radhakrishnan, R., and Sivakumaran, P.K., "Construction of Six Sigma Repetitive Group Sampling Plan", International Journal of Mathematics and Computation, 1(N08), 2008b, 75-83.
  17. Radhakrishnan, R., and Sivakumaran, P.K., 2008c, "Construction and Selection of Conditional Double Sampling Plan indexed through Six Sigma Quality Levels," Sri Lankan Journal of Applied Statistics, 9, 74-83.
  18. Radhakrishnan, R. and Sivakumaran, P.K., 2009a, "Construction of Six Sigma Double Sampling Plans", Proc. of National Seminar ‘IT and Business Intelligence (ITBI-08)’, Nagpur, India.
  19. Radhakrishnan, R., and Sivakumaran, P.K., 2009b, "Construction of Double Sampling Plans through Six Sigma Quality Levels," Proc. of the IEEE Second International Joint Conference on Computational Sciences and Optimization (IEEECSO2009), Sanya, Hainan, China, 1027-1030., April 24- 26.
  20. Radhakrishnan, R. and Sivakumaran, P.K., 2010, "Construction and Selection of Tightened-Normal-Tightened Schemes of Type TNT-(n1,n2; c) indexed through Six Sigma Quality Levels", Proceedings of the 2010 International Conference on Industrial Engineering and Operations Management (IEOM 2010), Dhaka, Bangladesh, Jan 9-10, 2010.
  21. Shewhart, W.A., 1931, "Economic Control of Quality of Manufactured Product", New York: Van Nostrand.
  22. Motorola: http://www.motorola.com

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Published

2018-02-28

Issue

Section

Research Articles

How to Cite

[1]
R. Radhakrishnan, P. Balamurugan, " Construction of Control Chart Based on Six Sigma Initiatives for Regression, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 4, Issue 2, pp.1142-1147, January-February-2018.