P. Mesenbrink et al., CHARACTERIZATION AND OPTIMIZATION OF A WAVE-SOLDERING PROCESS, Journal of the American Statistical Association, 89(428), 1994, pp. 1209-1217
A case study for improving the quality of a wave-soldering process tha
t produced printed circuit boards (PCB's) is presented. A mixed-level
fractional factorial design was implemented in a high-volume productio
n system during normal operational hours. The observed ordered-categor
ical data from the bottom-side soldered leads were weighted to formula
te the average, spatial uniformity, and dispersion process performance
measurements. For lead classes like the integrated circuit and printe
d grid array, a polynomial model was established using the least squar
es method with weights provided by a dispersion function. The main-eff
ect and interaction model terms were selected by forward and all-subse
ts regressions. Production quotas, topside defects, presoldering board
temperature, and variance models were used to set the constraints for
simultaneously optimizing predictions from the average and the unifor
mity models of all leads. A nonlinear optimization routine was used to
determine the best and most robust settings for the continuous and di
screte process variables. Results from a confirmatory experiment showe
d an improvement of mean soldering quality by 33% and of uniformity by
39%.