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 …

Branch-and-bound algorithms: A survey of recent advances in searching, branching, and pruning

DR Morrison, SH Jacobson, JJ Sauppe, EC Sewell - Discrete Optimization, 2016 - Elsevier
The branch-and-bound (B&B) algorithmic framework has been used successfully to find
exact solutions for a wide array of optimization problems. B&B uses a tree search strategy to …

The SCIP optimization suite 8.0

K Bestuzheva, M Besançon, WK Chen… - arXiv preprint arXiv …, 2021 - arxiv.org
The SCIP Optimization Suite provides a collection of software packages for mathematical
optimization centered around the constraint integer programming framework SCIP. This …

Solving mixed integer programs using neural networks

V Nair, S Bartunov, F Gimeno, I Von Glehn… - arXiv preprint arXiv …, 2020 - arxiv.org
Mixed Integer Programming (MIP) solvers rely on an array of sophisticated heuristics
developed with decades of research to solve large-scale MIP instances encountered in …

Exact combinatorial optimization with graph convolutional neural networks

M Gasse, D Chételat, N Ferroni… - Advances in neural …, 2019 - proceedings.neurips.cc
Combinatorial optimization problems are typically tackled by the branch-and-bound
paradigm. We propose a new graph convolutional neural network model for learning branch …

[图书][B] Integer programming models

M Conforti, G Cornuéjols, G Zambelli, M Conforti… - 2014 - Springer
The importance of integer programming stems from the fact that it can be used to model a
vast array of problems arising from the most disparate areas, ranging from practical ones …

Learning to branch in mixed integer programming

E Khalil, P Le Bodic, L Song, G Nemhauser… - Proceedings of the …, 2016 - ojs.aaai.org
The design of strategies for branching in Mixed Integer Programming (MIP) is guided by
cycles of parameter tuning and offline experimentation on an extremely heterogeneous …

Hybrid models for learning to branch

P Gupta, M Gasse, E Khalil… - Advances in neural …, 2020 - proceedings.neurips.cc
Abstract A recent Graph Neural Network (GNN) approach for learning to branch has been
shown to successfully reduce the running time of branch-and-bound algorithms for Mixed …

[HTML][HTML] A modeler's guide to handle complexity in energy systems optimization

L Kotzur, L Nolting, M Hoffmann, T Groß… - Advances in Applied …, 2021 - Elsevier
Determining environmentally-and economically-optimal energy systems designs and
operations is complex. In particular, the integration of weather-dependent renewable energy …

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 …