PAINT-SiCon: constructing consistent parametric representations of Pareto sets in nonconvex multiobjective optimization
Abstract
We introduce a novel approximation method for multiobjective optimization
problems called PAINT–SiCon. The method can construct consistent parametric
representations of Pareto sets, especially for nonconvex problems, by interpolating
between nondominated solutions of a given sampling both in the decision
and objective space. The proposed method is especially advantageous in computationally
expensive cases, since the parametric representation of the Pareto set can
be used as an inexpensive surrogate for the original problem during the decision
making process.
Main Authors
Format
Articles
Research article
Published
2015
Series
Subjects
Publication in research information system
Publisher
Springer New York LLC
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201505221961Use this for linking
Review status
Peer reviewed
ISSN
0925-5001
DOI
https://doi.org/10.1007/s10898-014-0232-9
Language
English
Published in
Journal of Global Optimization
Citation
- Hartikainen, M., & Lovison, A. (2015). PAINT-SiCon: constructing consistent parametric representations of Pareto sets in nonconvex multiobjective optimization. Journal of Global Optimization, 62(2), 243-261. https://doi.org/10.1007/s10898-014-0232-9
License
Copyright© Springer Science+Business Media New York 2014. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher.