Economic Statistical Control-Chart Designs With an Application to and R Charts

Control charts are the primary tools of statistical process control. These charts may be designed by using a simple rule suggested by Shewhart, by a statistical criterion, or by an economic criterion. Each method has its advantages and disadvantages. In this article, I place statistical constraints on economic models to provide designs that meet industry's demand for lowprocess variability and long-term product quality. This constrained economic model yields a design I call an economic statistical design. The model can be readily adapted to design ant Shewhart-type control chart. In this article, I illustrate its use in the joint design of an chart and an R chart.

[1]  Leon S. Lasdon,et al.  Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming , 1978, TOMS.

[2]  H. O. Hartley,et al.  The Probability Integral of the Range in Samples of n Observations From a Normal Population , 1942 .

[3]  W. H. Woodall,et al.  Conflicts Between Deming’s Philosophy and the Economic Design of Control Charts , 1987 .

[4]  W. Deming Quality, productivity, and competitive position , 1982 .

[5]  Lonnie C. Vance Bibliography of Statistical Quality Control Chart Techniques, 1970-1980 , 1983 .

[6]  William H. Woodall,et al.  Weaknesses of The Economic Design of Control Charts , 1986 .

[7]  Douglas C. Montgomery,et al.  The Economic Design of Control Charts: A Review and Literature Survey , 1980 .

[8]  A. R. Crathorne,et al.  Economic Control of Quality of Manufactured Product. , 1933 .

[9]  Lonnie C. Vance,et al.  The Economic Design of Control Charts: A Unified Approach , 1986 .

[10]  E. S. Pearson THE PROBABILITY INTEGRAL OF THE RANGE IN SAMPLES OF n OBSERVATIONS FROM A NORMAL POPULATIONI. FOREWORD AND TABLES , 1942 .

[11]  Erwin M. Saniga,et al.  Joint Economic Design of X and R Control Charts with Alternate Process Models , 1979 .

[12]  W. K. Chiu,et al.  Economic Design of Attribute Control Charts , 1975 .

[13]  Leon S. Lasdon,et al.  Generalized Reduced Gradient Software for Linearly and Nonlinearly Constrained Problems , 1978 .

[14]  Acheson J. Duncan,et al.  The Economic Design of X Charts Used to Maintain Current Control of a Process , 1956 .

[15]  D. H. Besterfield Quality control , 1979 .

[16]  Erwin M. Saniga,et al.  Joint Economically Optimal Design of X and R Control Charts , 1977 .

[17]  William H. Woodall,et al.  The Statistical Design of Quality Control Charts , 1985 .

[18]  William H. Woodall,et al.  The design of CUSUM quality control charts , 1986 .

[19]  G. B. Wetherill,et al.  Quality Control and Industrial Statistics , 1975 .