Wichtiger Hinweis:
Diese Website wird in älteren Versionen von Netscape ohne graphische Elemente dargestellt. Die Funktionalität der Website ist aber trotzdem gewährleistet. Wenn Sie diese Website regelmässig benutzen, empfehlen wir Ihnen, auf Ihrem Computer einen aktuellen Browser zu installieren. Weitere Informationen finden Sie auf folgender Seite.
Important Note:
The content in this site is accessible to any browser or Internet device, however, some graphics will display correctly only in the newer versions of Netscape. To get the most out of our site we suggest you upgrade to the latest Netscape. More information
ETH Zürich -
D-ITET -
TIK - Downloads & Materials - Supplementary Materials - Testproblems - Zdt6
E. Zitzler, K. Deb, and L. Thiele. Comparison of Multiobjective Evolutionary Algorithms: Empirical Results. Evolutionary Computation, 8(2):173-195, 2000 (PDF) (bibtex)
Reference Point:
Reference Point used:
Density:
Optimal Distributions:
(see "Maximum Hypervolume" for more plots)
The x-values xi of the µ points are equally distributed between 0.2808 and 1
The first and last point are known to be extremal, hence only the remaining µ -2 points are optimized.
All points p with 1 < p < µ, starting with point p = 1, are optimized according to the following formulas:
For p > 1 and p < mu
(non-extremal points)
The value of xp is set to bopt(a,c), where a is xp-1 and b is xp+1
The Hypervolume-Indicator is calculated. If the value did increase less than a predefined value eps, the distribution of x is returned. Otherwise, step 3 is repeated.