This paper introduces the concept of a process capability matrix—an ordered set of dimensionless parameters that capture information on a manufacturing system’s response to disturbances. The matrix is similar to the process capability indices and but is extended to multiple acceptance criteria and multiple causes of variation. Equations are presented that use the matrix to estimate yield in manufacture of products with multiple acceptance criteria. The surface mount of large body electronic packages serves as an example of the effectiveness of the process capability matrix as a tool for design decision making. [S1087-1357(00)01601-4]
Issue Section:
Technical Papers
1.
Donaldson, R. R., 1980, “Error Budgets,” Technology of Machine Tools, Machine Tool Task Force, Robert J. Hocken, Chairman, Vol. 5.
2.
Slocum, A. H., 1992, Precision Machine Design, Prentice-Hall, Englewood Cliffs, NJ.
3.
Harry, M. J., and Lawson, J. R., 1992, Six Sigma Producibility Analysis and Process Characterization, Addison Wesley, Reading, MA.
4.
Suh, N. P., 1990, The Principles of Design, Oxford University Press, Oxford.
5.
Kotz
, S.
, and Johnson
, N. L.
, 1993
, “Process Capability Indices for Non-Normal Populations
,” Int. J. Math. Stat.
, 2
, pp. 35
–44
.6.
Chan
, L. K.
, Cheng
, S. W.
, and Spring
, F. A.
, 1991
, “A Multivariate Measure of Process Capability
,” Int. J. Mod. Simulation
, 11
, No. 1
, pp. 1
–6
.7.
Pearn
, W. L.
, Kotz
, S.
, and Johnson
, N. L.
, 1992
, “Distributional and Inferential Properties of Process Capability Indices
,” J. Qual. Technol.
, 24
, No. 4
, pp. 216
–231
.8.
Taam
, W.
, Subbaiah
, P.
, and Liddy
, J. W.
, 1993
, “A Note on Multivariate Capability Indices
,” J. Appl. Stat.
, 20
, No. 3
, pp. 339
–3511
.9.
Chen
, H.
, 1994
, “A Multivariate Process Capability Index over a Rectangular Solid Tolerance Zone
,” Stat. Sin.
, 4
, pp. 749
–758
.10.
Kocherlakota
, and Kocherlakota
, 1991
, “Process Capability Index: Bivariate Normal Distribution
,” Commun. Statist.
, 20
, No. 8
, pp. 2529
–2547
.11.
Hubele N. F., Shahriari, H., and Cheng, C. S., 1992, “A Bivariate Process Capability Vector,” Statistical Process Control in Manufacturing, Marcel Dekker, New York, pp. 299–310.
12.
Kane
, V. E.
, 1986
, “Process Capability Indices
,” J. Qual. Technol.
, 18
, No. 1
, pp. 41
–52
.13.
Nelson
, L.
, 1972
“Propagation of Error
,” J. Qual. Technol.
, 24
, No. 4
, 232
–235
.14.
Soons, J. A., 1993, Accuracy Analysis of Multi-Axis Machines, Ph.D. Thesis, Eindhoven University of Technology, The Netherlands.
15.
Phadke, 1989, Quality Engineering Using Robus Design, Prentice-Hall, New York.
16.
Siddall, J. N., 1983, Probabilistic Engineering Design: Principles and Applications, Marcel Dekker, New York.
17.
Meyers, R. H., and Montgomery, D. C., 1995, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, John Wiley and Sons, New York.
18.
United States Department of Defense, 1991, MIL-STD-2000A: Military Standard Requirements for Soldered Electrical and Electronic Assemblies.
19.
Bhote, K., 1991, World Class Quality, AMACOM, New York.
Copyright © 2000
by ASME
You do not currently have access to this content.