The DIRECT algorithm: 25 years Later

DR Jones, JRRA Martins - Journal of global optimization, 2021 - Springer
Introduced in 1993, the DIRECT global optimization algorithm provided a fresh approach to
minimizing a black-box function subject to lower and upper bounds on the variables. In …

Escaping local minima with local derivative-free methods: a numerical investigation

C Cartis, L Roberts, O Sheridan-Methven - Optimization, 2022 - Taylor & Francis
We investigate the potential of applying a state-of-the-art, local derivative-free solver, Py-
BOBYQA to global optimization problems. In particular, we demonstrate the potential of a …

Novel algorithm for linearly constrained derivative free global optimization of lipschitz functions

L Stripinis, R Paulavičius - Mathematics, 2023 - mdpi.com
This paper introduces an innovative extension of the DIRECT algorithm specifically
designed to solve global optimization problems that involve Lipschitz continuous functions …

Global optimization of grey-box computational systems using surrogate functions and application to highly constrained oil-field operations

B Beykal, F Boukouvala, CA Floudas, N Sorek… - Computers & Chemical …, 2018 - Elsevier
This work presents recent advances within the AlgoRithms for Global Optimization of
coNstrAined grey-box compUTational problems (ARGONAUT) framework, developed for …

DIRECTGO: A New DIRECT-Type MATLAB Toolbox for Derivative-Free Global Optimization

L Stripinis, R Paulavičius - ACM Transactions on Mathematical Software, 2022 - dl.acm.org
In this work, we introduce DIRECTGO, a new MATLAB toolbox for derivative-free global
optimization. DIRECTGO collects various deterministic derivative-free DIRECT-type …

Sequential model based optimization of partially defined functions under unknown constraints

C Antonio - Journal of Global Optimization, 2021 - Springer
This paper presents a sequential model based optimization framework for optimizing a black-
box, multi-extremal and expensive objective function, which is also partially defined, that is it …

Lipschitz-inspired HALRECT algorithm for derivative-free global optimization

L Stripinis, R Paulavičius - Journal of Global Optimization, 2024 - Springer
This article considers a box-constrained global optimization problem for Lipschitz-
continuous functions with an unknown Lipschitz constant. Motivated by the famous DIRECT …

A multi-objective DIRECT algorithm for ship hull optimization

EF Campana, M Diez, G Liuzzi, S Lucidi… - Computational …, 2018 - Springer
The paper is concerned with black-box nonlinear constrained multi-objective optimization
problems. Our interest is the definition of a multi-objective deterministic partition-based …

Penalty functions and two-step selection procedure based DIRECT-type algorithm for constrained global optimization

L Stripinis, R Paulavičius, J Žilinskas - Structural and Multidisciplinary …, 2019 - Springer
Applied optimization problems often include constraints. Although the well-known derivative-
free global-search DIRECT algorithm performs well solving box-constrained global …

A new DIRECT-GLh algorithm for global optimization with hidden constraints

L Stripinis, R Paulavičius - Optimization Letters, 2021 - Springer
In this paper, we consider the solution of global optimization problems involving hidden
constraints. We present a novel deterministic derivative-free global optimization algorithm …