• Corpus ID: 237581553

Approximating Biobjective Minimization Problems Using General Ordering Cones

@article{Herzel2021ApproximatingBM,
  title={Approximating Biobjective Minimization Problems Using General Ordering Cones},
  author={Arne Herzel and Stephan Helfrich and Stefan Ruzika and Clemens Thielen},
  journal={ArXiv},
  year={2021},
  volume={abs/2109.10067}
}
This article investigates the approximation quality achievable for biobjective minimization problems with respect to the Pareto cone by solutions that are (approximately) optimal with respect to larger ordering cones. When simultaneously considering α-approximations for all closed convex ordering cones of a fixed inner angle γ ∈ [π2 , π], an approximation guarantee between α and 2α is achieved, which depends continuously on γ. The analysis is best-possible for any inner angle and it generalizes… 
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