DMulti-MADS: Mesh adaptive direct multisearch for bound-constrained blackbox multiobjective optimization
J Bigeon, S Le Digabel, L Salomon - Computational Optimization and …, 2021 - Springer
The context of this research is multiobjective optimization where conflicting objectives are
present. In this work, these objectives are only available as the outputs of a blackbox for …
present. In this work, these objectives are only available as the outputs of a blackbox for …
Inexact Exponential Penalty Function with the Augmented Lagrangian for Multiobjective Optimization Algorithms
A Tougma, K Some - Journal of Applied Mathematics, 2024 - Wiley Online Library
This paper uses an augmented Lagrangian method based on an inexact exponential
penalty function to solve constrained multiobjective optimization problems. Two algorithms …
penalty function to solve constrained multiobjective optimization problems. Two algorithms …
Filling holes under non-linear constraints
AL Custódio, MA Fortes, AM Sajo-Castelli - Computational and Applied …, 2023 - Springer
In this paper we handle the problem of filling the hole in the graphic of a surface by means of
a patch that joins the original surface with C 1-smoothness and fulfills an additional non …
a patch that joins the original surface with C 1-smoothness and fulfills an additional non …
Hyperbolic Augmented Lagrangian algorithm for multiobjective optimization problems
A Tougma, A Kaboré, K Somé - Gulf Journal of Mathematics, 2024 - gjom.org
In this article, we propose an adaptation of the Hyperbolic Augmented Lagrangian algorithm
to solve multiobjective optimization problems. After conducting a literature review, we …
to solve multiobjective optimization problems. After conducting a literature review, we …
Handling of constraints in multiobjective blackbox optimization
J Bigeon, SL Digabel, L Salomon - arXiv preprint arXiv:2204.00904, 2022 - arxiv.org
This work proposes the integration of two new constraint-handling approaches into the
blackbox constrained multiobjective optimization algorithm DMulti-MADS, an extension of …
blackbox constrained multiobjective optimization algorithm DMulti-MADS, an extension of …
Parallel strategies for direct multisearch
Direct multisearch (DMS) is a derivative-free optimization class of algorithms, suited for
computing approximations to the complete Pareto front of a given multiobjective optimization …
computing approximations to the complete Pareto front of a given multiobjective optimization …
Property of decision variables-inspired location strategy for multiobjective optimization
Although many algorithms have been proposed to solve multiobjective optimization
problems, how to balance convergence and diversity of population is still a challenge …
problems, how to balance convergence and diversity of population is still a challenge …
An Inexact Restoration Direct Multisearch Filter Approach to Multiobjective Constrained Derivative-free Optimization
EJ Silva, AL Custódio - arXiv preprint arXiv:2401.08277, 2024 - arxiv.org
Direct Multisearch (DMS) is a well-established class of methods for multiobjective derivative-
free optimization, where constraints are addressed by an extreme barrier approach, only …
free optimization, where constraints are addressed by an extreme barrier approach, only …
Contributions to the development of an integrated toolbox of solvers in derivative-free optimization
SFF Tavares - 2020 - search.proquest.com
This dissertation is framed on the ongoing research project BoostDFO-Improving the
performance and moving to newer dimensions in Derivative-Free Optimization. The final …
performance and moving to newer dimensions in Derivative-Free Optimization. The final …
Solving Multiobjective Optimization Problems with inequality constraint using an augmented Lagrangian function
A Tougma, K Somé - Statistics, Optimization & Information Computing, 2024 - iapress.org
We propose a method for solving multiobjective optimization problems under the constraints
of inequality. In this method, the initial problem is transformed into a single-objective …
of inequality. In this method, the initial problem is transformed into a single-objective …