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ETH Zürich - D-ITET - TIK - SOP - Downloads & Materials - Supplementary Materials - Testproblems - Dtlz1
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DTLZ 1

DTLZ 1

Formulation:
Pareto Front:

Relevant Publications:
  • 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)
Reference Point: Reference Point used: (11,11)
Density:

Optimal Distributions:

(see "Maximum Hypervolume" for more plots)

of 5 points:
of 10 points:
of 20 points:
of 50 points:
Maximum Hypervolume:
µHV ValuesPlot
2120.750000downloadplot
3120.812500downloadplot
4120.833333downloadplot
5120.843750downloadplot
10120.861111downloadplot
20120.868421downloadplot
50120.872449downloadplot
100120.873737downloadplot
1000120.874875downloadplot
120 7/8
µ 120 7/8 - 0.125 / (µ - 1)

How to approximate the optimal distributions

All points are equally distributed between (0, 0.5) and (0.5, 0).
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