A general branch-and-bound framework for continuous global multiobjective optimization

G Eichfelder, P Kirst, L Meng, O Stein - Journal of Global Optimization, 2021 - Springer
Current generalizations of the central ideas of single-objective branch-and-bound to the
multiobjective setting do not seem to follow their train of thought all the way. The present …

Feasibility Verification and Upper Bound Computation in Global Minimization Using Approximate Active Index Sets

C Füllner, P Kirst, H Otto… - INFORMS journal on …, 2024 - pubsonline.informs.org
We propose a new upper bounding procedure for global minimization problems with
continuous variables and possibly nonconvex inequality and equality constraints. Upper …

On the use of restriction of the right-hand side in spatial branch-and-bound algorithms to ensure termination

P Kirst, C Füllner - Computational Optimization and Applications, 2025 - Springer
Spatial branch-and-bound algorithms for global minimization of non-convex problems
require both lower and upper bounding procedures that finally converge to a globally …