Abstract Control chart designs are widely studied because control charts are not only costly used but also play an important role in improving firms' quality and productivity. Design of control charts refers to the selection of parameters, including sample size, control-limit width, and sampling frequency. In this paper, a possible combination of design parameters is considered as a decision-making unit; it is characterized by three attributes: hourly expected cost, average run length of process being controlled, and detection power of the chart designed with the selected parameters. Accordingly, optimal design of control charts can be formulated as a multiple criteria decision-making (MCDM) problem. To solve the MCDM problem, a solution procedure on the basis of data envelopment analysis is proposed. Finally, an industrial application is presented to illustrate the solution procedure. Also, adjustment to control chart design parameters is suggested when there are process improvements or process deteriorations.
[1]
A. Charnes,et al.
Data Envelopment Analysis Theory, Methodology and Applications
,
1995
.
[2]
Erwin M. Saniga,et al.
Economic Statistical Control-Chart Designs With an Application to and R Charts
,
1989
.
[3]
Abraham Charnes,et al.
Measuring the efficiency of decision making units
,
1978
.
[4]
William H. Woodall,et al.
Weaknesses of The Economic Design of Control Charts
,
1986
.
[5]
E. Saniga.
Economic Statistical Control-Chart Designs with an Application to X̄ and R Charts@@@Economic Statistical Control-Chart Designs with an Application to X and R Charts
,
1989
.
[6]
Acheson J. Duncan,et al.
The Economic Design of X Charts Used to Maintain Current Control of a Process
,
1956
.
[7]
W. Pearn,et al.
Capability indices for non-normal distributions with an application in electrolytic capacitor manufacturing
,
1997
.
[8]
Kaoru Tone,et al.
Data Envelopment Analysis
,
1996
.