Local pareto approximation

S. V. Utyuzhnikov, J. Maginot, M. D. Guenov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In the design process of complex systems, the designer is solving an optimization problem, which involves different disciplines and where all design criteria have to be optimized simultaneously. Mathematically this problem can be reduced to a vector optimization problem. The solution of this problem is not unique and is represented by a Pareto surface in the space of the objective functions. Once a Pareto solution is obtained, it may be very useful for the decision-maker to be able to perform a quick local approximation in the vicinity of this Pareto solution in order to explore its sensitivity. In this paper, a method for obtaining linear and quadratic local approximations of the Pareto surface is derived. A few examples are considered.

Original languageEnglish
Title of host publicationCurrent Themes in Engineering Science 2007 - Selected Presentations at the World Congress on Engineering-2007
Pages1-10
Number of pages10
DOIs
Publication statusPublished - 2008
Externally publishedYes
EventWorld Congress on Engineering, WCE 2007 - London, United Kingdom
Duration: 2 Jul 20074 Jul 2007

Publication series

NameAIP Conference Proceedings
Volume1045
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceWorld Congress on Engineering, WCE 2007
Country/TerritoryUnited Kingdom
CityLondon
Period2/07/074/07/07

Keywords

  • Multi-objective optimization
  • Pareto surface approximation
  • Sensitivity analysis
  • Trade-off

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