Global optimization advances in mixed-integer nonlinear programming, MINLP, and constrained derivative-free optimization, CDFO

F Boukouvala, R Misener, CA Floudas - European Journal of Operational …, 2016 - Elsevier
This manuscript reviews recent advances in deterministic global optimization for Mixed-
Integer Nonlinear Programming (MINLP), as well as Constrained Derivative-Free …

Derivative-free optimization methods

J Larson, M Menickelly, SM Wild - Acta Numerica, 2019 - cambridge.org
In many optimization problems arising from scientific, engineering and artificial intelligence
applications, objective and constraint functions are available only as the output of a black …

Review and comparison of algorithms and software for mixed-integer derivative-free optimization

N Ploskas, NV Sahinidis - Journal of Global Optimization, 2022 - Springer
This paper reviews the literature on algorithms for solving bound-constrained mixed-integer
derivative-free optimization problems and presents a systematic comparison of available …

Mixed-integer nonlinear optimization

P Belotti, C Kirches, S Leyffer, J Linderoth, J Luedtke… - Acta Numerica, 2013 - cambridge.org
Many optimal decision problems in scientific, engineering, and public sector applications
involve both discrete decisions and nonlinear system dynamics that affect the quality of the …

SO-MI: A surrogate model algorithm for computationally expensive nonlinear mixed-integer black-box global optimization problems

J Müller, CA Shoemaker, R Piché - Computers & operations research, 2013 - Elsevier
This paper introduces a surrogate model based algorithm for computationally expensive
mixed-integer black-box global optimization problems with both binary and non-binary …

Surrogate-based optimization for mixed-integer nonlinear problems

SH Kim, F Boukouvala - Computers & Chemical Engineering, 2020 - Elsevier
Simulation-based optimization using surrogate models enables decision-making through
the exchange of data from high-fidelity models and development of approximations. Many …

The mesh adaptive direct search algorithm for granular and discrete variables

C Audet, S Le Digabel, C Tribes - SIAM Journal on Optimization, 2019 - SIAM
The mesh adaptive direct search (Mads) algorithm is designed for blackbox optimization
problems for which the functions defining the objective and the constraints are typically the …

A linesearch-based derivative-free approach for nonsmooth constrained optimization

G Fasano, G Liuzzi, S Lucidi, F Rinaldi - SIAM journal on optimization, 2014 - SIAM
In this paper, we propose new linesearch-based methods for nonsmooth constrained
optimization problems when first-order information on the problem functions is not available …

BFO, a trainable derivative-free brute force optimizer for nonlinear bound-constrained optimization and equilibrium computations with continuous and discrete …

M Porcelli, PL Toint - ACM Transactions on Mathematical Software …, 2017 - dl.acm.org
A direct-search derivative-free Matlab optimizer for bound-constrained problems is
described, whose remarkable features are its ability to handle a mix of continuous and …

Global optimization for mixed categorical-continuous variables based on Gaussian process models with a randomized categorical space exploration step

M Munoz Zuniga, D Sinoquet - INFOR: Information Systems and …, 2020 - Taylor & Francis
Real industrial studies often give rise to complex optimization problems involving mixed
variables and time consuming simulators. To deal with these difficulties we propose the use …