nondominated set

Limit sets in global multiobjective optimization

  • Gabriele Eichfelder
  • Oliver Stein
    • Categories Global Optimization Theory, Multi-Criteria Optimization Tags , , , , ,

    Inspired by the recently introduced branch-and-bound method for continuous multiobjective optimization problems from G. Eichfelder, P. Kirst, L. Meng, O. Stein, A general branch-and-bound framework for continuous global multiobjective optimization, Journal of Global Optimization, 80 (2021) 195-227, we study for a general class of branch-and-bound methods in which sense the generated terminal enclosure and the … Read more

    An approximation algorithm for multi-objective optimization problems using a box-coverage

  • Gabriele Eichfelder
  • Leo Warnow
    • Categories Global Optimization, Multi-Criteria Optimization Tags , , , ,

    For a continuous multi-objective optimization problem, it is usually not a practical approach to compute all its nondominated points because there are infinitely many of them. For this reason, a typical approach is to compute an approximation of the nondominated set. A common technique for this approach is to generate a polyhedron which contains the … Read more