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Extending quick hypervolume

Author

Listed:
  • Luís M. S. Russo

    (INESC-ID
    Universidade de Lisboa)

  • Alexandre P. Francisco

    (INESC-ID
    Universidade de Lisboa)

Abstract

We extend the functionality of the quick hypervolume (QHV) algorithm. Given a set of d-dimensional points this algorithm determines the hypervolume of the dominated space, a useful measure for multiobjective evolutionary algorithms (MOEAs). We extend QHV in two ways: adapt it to compute the exclusive hypervolume of each point, and speed it up with parallel computation, that adjusts nicely to the divide and conquer methodology of QHV. The resulting algorithms are faster and more informative sub-routines, which can be used for MOEAs with a large number of objectives.

Suggested Citation

  • Luís M. S. Russo & Alexandre P. Francisco, 2016. "Extending quick hypervolume," Journal of Heuristics, Springer, vol. 22(3), pages 245-271, June.
    • Handle: RePEc:spr:joheur:v:22:y:2016:i:3:d:10.1007_s10732-016-9309-6
    DOI: 10.1007/s10732-016-9309-6
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    Cited by:

    1. Audet, Charles & Bigeon, Jean & Cartier, Dominique & Le Digabel, Sébastien & Salomon, Ludovic, 2021. "Performance indicators in multiobjective optimization," European Journal of Operational Research, Elsevier, vol. 292(2), pages 397-422.

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