Mathematical Models for Disposable Diaper Manufacturing
To set up the most economical design for a given
diaper market segment, it requires the use of sophisticated statistical tools
and plenty of field data on diaper use. Most diaper producers rely on simple
trial and error for defining the right mix of absorbing materials; some other
companies try to copy the performance of a larger competitor without taking into
account the individual diaper features. The result is either a misuse of the
materials or underperformance of the diaper. The fact of the matter is that
even small changes in the core mix can result in significant changes in leakage
performance. The correlation between diaper leakage and diaper cost is not
linear; most of the times it is a polynomial equation(*). In order to be able
to optimize the cost of the diaper for a given market segment, you need to
understand the mathematical correlation between diaper performance and diaper
cost. For each diaper design there is a corresponding mathematical formula that
can be optimized to improve diaper performance without increasing its cost. We
can help you understand the correlation between performance and cost; we can
also teach you how to do it.
Example of a mathematical
correlation between % of leakage (Y) and total retentive capacity at 5 KPa (X)
for a mid-market segment diaper. Using this equation in conjunction with
variable cost, enables you to maximize performance at a given cost level when
you use this very specific diaper design:
Y=5E-09(X)3+8E-06(X)2-.0041(X)+0.7006
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