Design optimization: Difference between revisions

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Revision as of 03:47, 14 December 2018

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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 problem ==

{{Main|Optimization problem}}

The formal mathematical ([[Canonical form|standard form]]) statement of the design optimization problem is <ref>{{Cite book|url=https://web.stanford.edu/~boyd/cvxbook/bv_cvxbook.pdf|title=Convex Optimization|last=Boyd|first=Stephen|last2=Boyd|first2=Stephen P.|last3=California)|first3=Stephen (Stanford University Boyd|last4=Vandenberghe|first4=Lieven|last5=Angeles)|first5=Lieven (University of California Vandenberghe, Los|date=2004-03-08|publisher=Cambridge University Press|year=|isbn=9780521833783|___location=|pages=|language=en}}</ref>

<math>\begin{align}

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A detailed and rigorous description of the stages and practical applications with examples can be found in the book [http://www.cambridge.org/gh/academic/subjects/engineering/control-systems-and-optimization/principles-optimal-design-modeling-and-computation-3rd-edition?format=HB&isbn=9781107132672#C3r6r6aLRe2bUoef.97 Principles of Optimal Design].

Practical design optimization problems are typically solved numerically and many [[:Category:Mathematical optimization software|optimization software]] exist in academic and commercial forms.<ref>{{Cite book|url=https://books.google.com/books?hl=en&lr=&id=wy5hBwAAQBAJ&oi=fnd&pg=PR17&dq=design+optimization+with+matlab+achille+messac&ots=n9WXaRte_T&sig=DVBwayB-6W1b2YyruSz6O2fMKAM#v=onepage&q=design%20optimization%20with%20matlab%20achille%20messac&f=false|title=Optimization in Practice with MATLAB®: For Engineering Students and Professionals|last=Messac|first=Achille|date=2015-03-19|publisher=Cambridge University Press|isbn=9781316381373|language=en}}</ref> There are several ___domain-specific applications of design optimization posing their own specific challenges in formulating and solving the resulting problems; these include, [[shape optimization]], [[wing-shape optimization]], [[topology optimization]], [[architectural design optimization]], [[Power optimization (EDA)|power optimization]]. Several books, articles and journal publications are listed below for reference.

== Journals ==