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Multiobjective Nelder-Mead algorithm using a mesh-map of weighted sums Nadeau, Patrick Charles
Abstract
An algorithm for finding approximations to Pareto fronts in the optimization of multiple objective functions is presented. A mesh of weighted sums of the multiple objective functions serves as a model to approximate the Pareto front. The Nelder-Mead algorithm then solves these individual weighted sums without the use of derivatives. This multiobjective Nelder-Mead algorithm was found to be competitive with current algorithms on convex problems.
Item Metadata
| Title |
Multiobjective Nelder-Mead algorithm using a mesh-map of weighted sums
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2020
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| Description |
An algorithm for finding approximations to Pareto fronts in the optimization of multiple objective functions is presented. A mesh of weighted sums of the multiple objective functions serves as a model to approximate the Pareto front. The Nelder-Mead algorithm then solves these individual weighted sums without the use of derivatives. This multiobjective Nelder-Mead algorithm was found to be competitive with current algorithms on convex problems.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2020-06-23
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0391980
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2020-09
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| Campus | |
| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International