On multiobjective selection for multimodal optimization

Wessing S., Preuss M.


Abstract
Multiobjective selection operators are a popular and straightforward tool for preserving diversity in evolutionary optimization algorithms. One application area where diversity is essential is multimodal optimization with its goal of finding a diverse set of either globally or locally optimal solutions of a single-objective problem. We therefore investigate multiobjective selection methods that identify good quality and diverse solutions from a larger set of candidates. Simultaneously, unary quality indicators from multiobjective optimization also turn out to be useful for multimodal optimization. We focus on experimentally detecting the best selection operators and indicators in two different contexts, namely a one-time subset selection and an iterative application in optimization. Experimental results indicate that certain design decisions generally have advantageous tendencies regarding run time and quality. One such positive example is using a concept of nearest better neighbors instead of the common nearest-neighbor distances.

Keywords
Benchmarking; Multimodal optimization; Multiobjectivization; Nearest neighbor; Quality indicator; Selection



Publication type
Article in Journal

Peer reviewed
Yes

Publication status
Published

Year
2016

Journal
Computational Optimization and Applications

Volume
63

Issue
3

Start page
875

End page
902

Pages range
875-902

Publisher
Springer New York LLC

ISSN
0926-6003

DOI

Full text

Affiliation
Universitat Dortmund; Westfalische Wilhelms-Universitat Munster