00479 81d545dff4b0a8a7a6a14da7b1e12c

485

An Algorithm and a Graphical Approach for Short Run Processes

References

Duncan, A.J., (1956). “The Economic Design of X Control Charts to Mantain Current Control of a Process,” Journal of the American Statistical Association, 51, 228-242.

Del Castillo, E., (1992). “Models and Methods for Statistical Process Control of Finite-Horizon Manufacturing Systems,” Ph.D. Dissertation, Arizona State University, Dept. of Industrial Engineering.

Del Castillo, E., and Montgomery, D.C., (1996). “A General model for the Optimal Economic Design of X Charts Used to Control Short or Long Run Processes,” to appear in IIE Transactions.

Ladany, S.P., (1973). “Optimal Use of Control Charts for Controlling Current Production,” Management Science, 19, 763-772.

Luenberger, D., (1989). Linear and Nonlinear Programming, New York: Addison-Wesley.

Montgomery D.C., (1991). Introduction to Statistical Quality Control, 2nd edition, New York: John Wiley & Sons.

Saniga, E. M., (1989). “Economic Statistical Design of Control Charts with an Application to X and/? Charts,” Technometrics, 31, 313-320.

Woodall, W.H., (1986). “Weaknesses of the Economic Design of Control Charts,” Technometrics, 28,408-409.

Appendix. Computer Program

PROGRAM XCHART;

|***************************************************************************

This program minimizes equation (1) subject to constraints (2)-(5).

Input to the program: file INPUT.PRN with the following columns:

CO Cl C2 C3 C4 C5 Lambda Delta Fo P 1/gamma Powerlb Alphaub T (each data row provides a different set of input parameters for designing a chart.)

File INPUT.PRN has NOEXP rows, the desired number of experiments to run.

Output of the program: file OUTPUT.PRN with the following columns:

Run no., CO Cl C2 C3 C4 C5 Lambda Delta Fo n* k* f* T CC* Power alpha.