Several approaches have been proposed for optimizing both the mean and
variation of a process simultaneously. This paper reviews some of the
se methods and studies ways in which generalized linear models can be
adapted for use with them. Specifically, a generalized linear model wi
th gamma error distribution and log link function is used to model var
iation as (1) part of a screening method for variance control factors
and (2) part of an algorithm for simultaneous maximum likelihood estim
ation of mean and variance parameters. The advantages and disadvantage
s of these two approaches are examined in detail and compared to other
current methods.