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Quick HyperVolume is an algorithm that computes the HyperVolume occupied by a set of hyper-rectangles, that share the "lower leftmost" vertex.

A detailed description of the problem and the algorithms is published in IEEE Transactions on Evolutionary Computation. The article is available at http://dx.doi.org/10.1109/TEVC.2013.2281525

Extensions of the algorithm to compute Exclusive HyperVolumes and use several cores are described in The Journal of Heuristics.

Software in this page 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.

Any published media that is related with the use of the distributed software, or derived software, must contain a reference to "Quick HyperVolume, Luís M. S. Russo, Alexandre P. Francisco. IEEE Trans. Evolutionary Computation 18(4): 481-502 (2014)", but not in any way that suggests that they endorse you or your use of the work.

Quick HyperVolume + Parallel + Exclusive