EURO 2025 Leeds
Abstract Submission

439. Solving MINLP polynomial problems to global optimality: Recent advances in RAPOSa

Invited abstract in session TA-43: Global and Nonlinear Solvers, stream Software for Optimization.

Tuesday, 8:30-10:00
Room: Newlyn GR.07

Authors (first author is the speaker)

1. Julio González-Díaz
Statistics, Mathematical Analysis and Optimization, University of Santiago de Compostela
2. Brais González Rodríguez
University of Vigo
3. Pietro Belotti
Electronics, Information and Bioengineering, Politecnico di Milano
4. Iria Rodríguez-Acevedo
University of Santiago de Compostela
5. Ignacio Gómez-Casares
Department of Statistics, Mathematical Analysis and Optimization, University of Santiago de Compostela

Abstract

This talk aims to showcase the latest developments in RAPOSa, a global solver for polynomial optimization problems, with a primary focus on its two most recent functionalities: i) the extension to solve mixed-integer MINLP problems and ii) the extension to solve problems on unbounded domains. With the inclusion of these two extensions, RAPOSa can now tackle any MINLP polynomial optimization problem and, eventually, solve it to certified global optimality.

The talk will delve into various facets of the key challenges encountered in these extensions, including some unexpected findings related to the impact of seemingly innocuous modeling choices.

Keywords

Status: accepted


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