EUROPT 2024
Abstract Submission

4. Numerical tests of a global solver for optimistic semivectorial bilevel problems

Invited abstract in session TC-4: Multiobjective Optimization II, stream Multiobjective optimization.

Thursday, 11:25 - 12:40
Room: M:M

Authors (first author is the speaker)

1. Daniel Hoff
Institiute of Mathematics, Technische Universität Ilmenau
2. Gabriele Eichfelder
Institute of Mathematics, Technische Universität Ilmenau

Abstract

In semivectorial bilevel optimization one considers an optimization problem, the upper-level problem, which contains the weakly efficient set of a multiobjective optimization problem, the lower-level problem, as a constraint. We replace the lower-level weakly efficient set by using its optimal value function and present a branch-and-bound method for optimistic semivectorial bilevel problems. This method improves suitable approximations of the value function until the lower and upper bound on the minimal value are sufficiently close. In this talk the focus is on numerical tests.

Keywords

Status: accepted


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