Title :
Quick Hypervolume
Author :
Russo, LuiÌs M. S. ; Francisco, Alexandre P.
Author_Institution :
Dept. de Eng. Inf., Univ. Tec. de Lisboa, Lisbon, Portugal
Abstract :
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.
Keywords :
evolutionary computation; QHV algorithm; d -dimensional points; exact hypervolume calculation; multiobjective evolutionary algorithms; quick hypervolume; quick hypervolume algorithm; Algorithm design and analysis; Arrays; Complexity theory; Indexes; Optimization; Prototypes; Radiation detectors; Diversity methods; diversity methods; hypervolume; multiobjective optimization; performance metrics;
Journal_Title :
Evolutionary Computation, IEEE Transactions on
DOI :
10.1109/TEVC.2013.2281525
