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Published in:
2006 | OriginalPaper | Chapter
Methods for Optimizing Product Platforms and Product Families
Overview and Classification
Author : Timothy W. Simpson
Published in: Product Platform and Product Family Design
Publisher: Springer US
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Optimization has been used for many years during product design to help determine the values of design variables,
x
, that minimize (or maximize) one or more objectives,
f
(
x
), while satisfying a set of constraints, {
g
(
x
),
h
(
x
)}, and the design variable lower and upper bounds,
x
1
and
x
u
, respectively. The typical notation for formulating the optimization problem is as follows:
1
$$ \begin{gathered} Find: x \hfill \\ Min: f(x) \hfill \\ Subject to:g(x) \leqslant 0 \hfill \\ h(x) = 0 \hfill \\ x^1 \leqslant x \leqslant x^u \hfill \\ \end{gathered} $$