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ETH Zürich -
D-ITET -
TIK - Downloads & Materials - Supplementary Materials - Testproblems - Dtlz2
K. Deb, L. Thiele, M. Laumanns and E. Zitzler. Scalable Multi-Objective Optimization Test
Problems. CEC 2002, p. 825 - 830, IEEE Press, 2002 (PDF) (bibtex)
The x-values xi of the µ points are equally distributed between 0 and 1
All µ points are optimized.
For all points p, starting with point p = 1, the following steps are executed:
The x-value is decreased by stepsize. If this increases the hypervolume, the procedure continues with the next point.
If decreasing xp does not increase the hypervolume, then xp is increased by 2*stepsize. If this does not increase the hypervolume, xp decreased by stepsize (which means it has the value at the start of step 3).
If step 3 did increase the hypervolume, step 3 is repeated as long as the hypervolume increases. Otherwise, step 5 is executed
If step 5 did not increase the hypervolume, stepsize is scaled down by 1/2. If stepsize is smaller than a predefined value eps (10-16), the precedure returns the current distribution. Otherwise, the precedure restarts with step 3.