In many branches of the industry including textiles,
process optimization, which has a considerable
impact on cost minimization, has gained importance.
To fulfill this task for the dyeing operation,
employing more efficient machines, new dyeing
techniques, as well as new products, play an
important role. However, another technique that can
help optimization is to find the optimum conditions
of the dyeing bath which lead to a certain color yield.
This requires a model representing the way that each
factor, as well as the interaction between them, plays
a part in determining the color yield (response).
Sound and reliable modeling should be based on an
appropriate experimental design.
The literature review revealed a number of efforts
concerning modeling in dyeing. A summary of these
works follows next. A mathematical model was
proposed by Rys and Sperb and described the
behavior of the fixation efficiency of monofunctional
reactive dyes for various dyeing conditions
[7]. Cegarra and Puente produced isoreactivity
equations to determine the conditions of the
temperature to achieve a constant sorption at different
sorption times [8]. Huang and Yu used fuzzy models
to provide a systematic approach to controlling the