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'''Design optimization''' is an engineering design '''methodology''' using a mathematical formulation of a design problem to support selection of the optimal design among many alternatives. Design optimization involves the following stages<ref name="pyp2017">{{Cite book|url=http://principlesofoptimaldesign.org/|title=Principles of Optimal Design: Modeling and Computation|last=Papalambros|first=Panos Y.|last2=Wilde|first2=Douglass J.|date=2017-01-31|publisher=Cambridge University Press|year=|isbn=9781316867457|___location=|pages=|language=en}}</ref>:
# [[Variable (mathematics)|Variables]]: Describe the design alternatives
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Design optimization applies the methods of [[mathematical optimization]] to design problem formulations and it is sometimes used interchangeably with the term [[engineering optimization]]. When the objective function ''f'' is a [[Vector-valued function|vector]] rather than a [[Scalar field|scalar]], the problem becomes a [[multi-objective optimization]] one. If the design optimization problem has more than one mathematical solutions the methods of [[global optimization]] are used to identified the global optimum.
'''Optimization Checklist''' <ref name="pyp2017" />
* Problem Identification
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