Abstract

A control chart is a statistical device used for the study and control of a repetitive process. W. A. Shewart (1931) of Bell Telephone Laboratories suggested control charts based on three sigma limits. Now the companies in developed and developing countries started applying Six Sigma initiatives in their manufacturing process, which results in a 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 (1980). If the companies practicing Six Sigma initiatives use the control limits suggested by Shewhart, then no point falls outside the control limits because of the improvement in the quality of the process. In this paper, an attempt is made to construct a Six Sigma based control chart for fraction defectives specially designed for the companies applying Six Sigma initiatives in their organization. Suitable tables are also constructed and presented for engineers to take quick decisions.

References

1.
Motorola
, http://www.motorola.com/ (Last accessed January 10,
2010
).
2.
Radhakrishnan
,
R.
,
2009
, “
Construction of Six Sigma Based Sampling Plans
,” D.Sc. thesis,
Bharathiar University
, Coimbatore, India.
3.
Radhakrishnan
,
R.
and
Balamurugan
,
P.
, “
Six Sigma based Control charts for number of defectives
,”
Proceedings of the 2010 International Conference on Industrial Engineering and Operations Management (IEOM 2010) Islamic University of Technology (IUT), The Organization of Islamic Conference (OIC)
,
Bangladesh Society of Mechanical Engineers
,
Dhaka, Bangladesh
, January 9–10,
2010
.
4.
Radhakrishnan
,
R.
and
Sivakumaran
,
P. K.
, “
Construction and Selection of Six Sigma Sampling Plan Indexed Through Six Sigma Quality Level
,”
International Journal of Statistics and Systems
, Vol.
3
(
2
),
2008
, pp.
153
159
.
5.
Radhakrishnan
,
R.
and
Sivakumaran
,
P. K.
, “
Construction of Six Sigma Repetitive Group Sampling Plan
,”
International Journal of Mathematics and Computation
, Vol.
1
(
N08
),
2008
, pp.
75
83
.
6.
Radhakrishnan
,
R.
and
Sivakumaran
,
P. K.
, “
Construction and Selection of Conditional Double Sampling Plan Indexed Through Six Sigma Quality Levels
,”
Sri Lankan Journal of Applied Statistics
, Vol.
9
,
2008
, pp.
74
83
.
7.
Radhakrishnan
,
R.
and
Sivakumaran
,
P. K.
, “
Construction of Six Sigma Double Sampling Plans
,”
Proc. of National Seminar ‘IT and Business Intelligence (ITBI-08)’
,
IMT
,
Nagpur, India
,
2009
.
8.
Radhakrishnan
,
R.
and
Sivakumaran
,
P. K.
, “
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, April 24–26,
2009
,
IEE Computer Society
,
Los Alamitos, CA
, pp.
1027
1030
.
9.
Radhakrishnan
,
R.
and
Sivakumaran
,
P. K.
, “
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)
,
Islamic University of Technology (IUT), The Organization of Islamic Conference (OIC), Bangladesh Society of Mechanical Engineers
,
Dhaka, Bangladesh
, Jan. 9–10,
2010
.
10.
Shewhart
,
W. A.
,
Economic Control of Quality of Manufactured Product
,
Van Nostrand
,
New York
,
1931
.
This content is only available via PDF.
You do not currently have access to this content.