Design optimization: Difference between revisions

Revision as of 06:30, 17 December 2022

Revision as of 06:44, 17 December 2022

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'''Design optimisationoptimization''' is an engineering design '''methodology''' using a mathematical formulation of a design problem to support selection of the optimal design among many alternatives. Design optimisationoptimization involves the following stages:

<ref name="edo2021">{{Cite book|url=http://flowlab.groups.et.byu.net/mdobook.pdf|title=Engineering Design Optimization|last1=Martins|first1=Joaquim R. R. A.|last2=Ning|first2=Andrew|date=2021-10-01|publisher=Cambridge University Press|isbn=978-1108833417|language=en}}</ref>

<ref name="pyp2017">{{Cite book|url=http://principlesofoptimaldesign.org/|title=Principles of Optimal Design: Modeling and Computation|last1=Papalambros|first1=Panos Y.|last2=Wilde|first2=Douglass J.|date=2017-01-31|publisher=Cambridge University Press|isbn=9781316867457|language=en}}</ref>

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# Feasibility: Values for set of variables that satisfies all constraints and minimizes/maximizes Objective.

== Design optimisationoptimization 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|last1=Boyd|first1=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|isbn=9780521833783|language=en}}</ref>

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== Application ==

Design optimisationoptimization 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.

'''OptimisationOptimization Checklist''' <ref name="pyp2017" />

* Problem Identification