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Code for paper: [WFG2010b] Lyndon While, Lucas Bradstreet, and Luigi Barone. A Fast Way of Calculating Exact Hypervolumes. IEEE Transactions on Evolutionary Computation (to appear).

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Lyndon While, Lucas Bradstreet, Luigi Barone

Email {lyndon,lucas,luigi}@csse.uwa.edu.au for any queries regarding usage/bugs/improvements.

This code includes a high performance implementation of the WFG algorithm, used to calculate the hypervolume indicator for a set of non-dominated points.

If you make substantive use of this algorithm, please reference the following paper:

[WFG2010b] Lyndon While, Lucas Bradstreet, and Luigi Barone. A Fast Way of Calculating Exact Hypervolumes. IEEE Transactions on Evolutionary Computation 16(1), 2012

COMPILING:

run make march=processortype, e.g. make march=pentium4

USAGE: where X = 1-3

wfgX FRONTFILE

calculates hypervolume for frontfile using reference point 0, 0, ..., 0

wfgX FRONTFILE r1 r2 .. rd

calculates hypervolume for frontfile using reference point r1, r2, .., rd

Code currently performs minimisation hypervolume calculations relative to the reference point. However, it can be easily transformed to allow maximisation calculations.

FILE FORMAT:

A file can contain any number of fronts, laid out as follows:

0.598 0.737 0.131 0.916 6.745 0.263 0.740 0.449 0.753 6.964 0.109 8.483 0.199 0.302 8.872

0.598 0.737 0.131 0.916 6.745 0.263 0.740 0.449 0.753 6.964 0.109 8.483 0.199 0.302 8.872

Notes:

  • objective values are separated by spaces.

  • one point per line.

  • fronts are separated by #s.

  • all fronts use the same reference point, therefore all points in all fronts must have the same number of objectives.

COPYRIGHT:

This software is Copyright (C) 2010 Lyndon While, Lucas Bradstreet.

This program is free software (software libre); you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

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Code for paper: [WFG2010b] Lyndon While, Lucas Bradstreet, and Luigi Barone. A Fast Way of Calculating Exact Hypervolumes. IEEE Transactions on Evolutionary Computation (to appear).

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