A review and comparison of solvers for convex MINLP

J Kronqvist, DE Bernal, A Lundell… - Optimization and …, 2019 - Springer
In this paper, we present a review of deterministic software for solving convex MINLP
problems as well as a comprehensive comparison of a large selection of commonly …

The decomposition-based outer approximation algorithm for convex mixed-integer nonlinear programming

P Muts, I Nowak, EMT Hendrix - Journal of Global Optimization, 2020 - Springer
This paper presents a new two-phase method for solving convex mixed-integer nonlinear
programming (MINLP) problems, called Decomposition-based Outer Approximation …

Sustainable multi-commodity capacitated facility location problem with complementarity demand functions

W Liu, N Kong, M Wang, L Zhang - Transportation Research Part E …, 2021 - Elsevier
We investigate a multi-commodity capacitated facility location problem involving
sustainability concerns (eg, restrained carbon emission). In addition, this problem …

Branch-and-Price for Prescriptive Contagion Analytics

A Jacquillat, ML Li, M Ramé, K Wang - Operations Research, 2024 - pubsonline.informs.org
Contagion models are ubiquitous in epidemiology, social sciences, engineering, and
management. This paper formulates a prescriptive contagion analytics model where a …

Polyhedral approximation strategies for nonconvex mixed-integer nonlinear programming in SHOT

A Lundell, J Kronqvist - Journal of Global Optimization, 2022 - Springer
Different versions of polyhedral outer approximation are used by many algorithms for mixed-
integer nonlinear programming (MINLP). While it has been demonstrated that such methods …

A disjunctive cut strengthening technique for convex MINLP

J Kronqvist, R Misener - Optimization and Engineering, 2021 - Springer
Generating polyhedral outer approximations and solving mixed-integer linear relaxations
remains one of the main approaches for solving convex mixed-integer nonlinear …

The supporting hyperplane optimization toolkit for convex MINLP

A Lundell, J Kronqvist, T Westerlund - Journal of Global Optimization, 2022 - Springer
In this paper, an open-source solver for mixed-integer nonlinear programming (MINLP)
problems is presented. The Supporting Hyperplane Optimization Toolkit (SHOT) combines a …

A column generation algorithm for solving energy system planning problems

P Muts, S Bruche, I Nowak, O Wu, EMT Hendrix… - Optimization and …, 2021 - Springer
Energy system optimization models are typically large models which combine sub-models
which range from linear to very nonlinear. Column generation (CG) is a classical tool to …

Branch-and-price for a class of nonconvex mixed-integer nonlinear programs

A Allman, Q Zhang - Journal of Global Optimization, 2021 - Springer
This work attempts to combine the strengths of two major technologies that have matured
over the last three decades: global mixed-integer nonlinear optimization and branch-and …

On decomposition and multiobjective-based column and disjunctive cut generation for MINLP

P Muts, I Nowak, EMT Hendrix - Optimization and Engineering, 2021 - Springer
Most industrial optimization problems are sparse and can be formulated as block-separable
mixed-integer nonlinear programming (MINLP) problems, defined by linking low …