Journal
IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION
Volume 18, Issue 4, Pages 481-502Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TEVC.2013.2281525
Keywords
Diversity methods; hypervolume; multiobjective optimization; performance metrics
Funding
- National Funds through FCT-Fundacao para a Ciencia e a Tecnologia [PEst-OE/EEI/LA0021/2013, TAGS PTDC/EIA-EIA/112283/2009, NetDyn PTDC/EIA-EIA/118533/2010, HELIX, PTDC/EEA-ELC/113999/2009]
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In this paper, we present a new algorithm for calculating exact hypervolumes. Given a set of d-dimensional points, it computes the hypervolume of the dominated space. Determining this value is an important subroutine of multiobjective evolutionary algorithms. We analyze the quick hypervolume (QHV) algorithm theoretically and experimentally. The theoretical results are a significant contribution to the current state of the art. Moreover, the experimental performance is also very competitive, compared with existing exact hypervolume algorithms.
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