Test Problems Based on Lamé Superspheres

@inproceedings{Emmerich2006TestPB,
  title={Test Problems Based on Lam{\'e} Superspheres},
  author={Michael T. M. Emmerich and Andr{\'e} H. Deutz},
  booktitle={EMO},
  year={2006}
}
Pareto optimization methods are usually expected to find well-distributed approximations of Pareto fronts with basic geometry, such as smooth, convex and concave surfaces. In this contribution, testproblems are proposed for which the Pareto front is the intersection of a Lamé supersphere with the positive R-orthant. Besides scalability in the number of objectives and decision variables, the proposed test problems are also scalable in a characteristic we introduce as resolvability of conflict… CONTINUE READING

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