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Structural and Multidisciplinary Optimization
Published in: Structural and Multidisciplinary Optimization 5/2015

09-07-2015 | RESEARCH PAPER

Pareto front spacing with differential geometry in multidisciplinary systems

Authors: Craig Bakker, Geoffrey T. Parks

Published in: Structural and Multidisciplinary Optimization | Issue 5/2015

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Abstract

Multidisciplinary Design Optimization, also known as MDO, deals with the optimization of complex but typically single-objective design problems. As such, it would be valuable to combine it with Multi-Objective Optimization (MOO). Within MOO, Weighted Sums (WS) is a standard solution method, but it may not produce a good spacing of solution points along the Pareto Front (PF). Using our differential geometry MDO framework, we present a technique for intelligently spacing out Pareto solutions produced with WS in a multidisciplinary MOO formulation. Following an initial demonstration, we present modifications to our method to handle ill-conditioning better, to produce fewer dominated points in PF refinement, and to use MOO solution methods other than WS.
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Metadata
Title
Pareto front spacing with differential geometry in multidisciplinary systems
Authors
Craig Bakker
Geoffrey T. Parks
Publication date
09-07-2015
Publisher
Springer Berlin Heidelberg
Published in
Structural and Multidisciplinary Optimization / Issue 5/2015
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-015-1289-x

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