Adaptive Stabilization Based on Machine Learning for Column Generation

Y Shen, Y Sun, X Li, Z Cao, A Eberhard… - arXiv preprint arXiv …, 2024 - arxiv.org
Column generation (CG) is a well-established method for solving large-scale linear
programs. It involves iteratively optimizing a subproblem containing a subset of columns and …

Dual-optimal inequalities for stabilized column generation

H Ben Amor, J Desrosiers… - Operations …, 2006 - pubsonline.informs.org
Column generation is one of the most successful approaches for solving large-scale linear
programming problems. However, degeneracy difficulties and long-tail effects are known to …

Automation and combination of linear-programming based stabilization techniques in column generation

A Pessoa, R Sadykov, E Uchoa… - INFORMS Journal on …, 2018 - pubsonline.informs.org
The convergence of a column generation algorithm can be improved in practice by using
stabilization techniques. Smoothing and proximal methods based on penalizing the …

Learning to generate columns with application to vertex coloring

Y Sun, AT Ernst, X Li, J Weiner - The Eleventh International …, 2022 - openreview.net
We present a new column generation approach based on Machine Learning (ML) for
solving combinatorial optimization problems. The aim of our method is to generate high …

[图书][B] COIL: A deep architecture for column generation

B Babaki, L Charlin, SD Jena - 2022 - optimization-online.org
Column generation is a popular method to solve large-scale linear programs with an
exponential number of variables. Several important applications, such as the vehicle routing …

A Reinforcement-Learning-Based Multiple-Column Selection Strategy for Column Generation

H Yuan, L Fang, S Song - Proceedings of the AAAI Conference on …, 2024 - ojs.aaai.org
Column generation (CG) is one of the most successful approaches for solving large-scale
linear programming (LP) problems. Given an LP with a prohibitively large number of …

[PDF][PDF] Stabilization in column generation

HB Amor, J Desrosiers, A Frangioni - Les Cahiers du GERAD ISSN, 2004 - gerad.ca
Column Generation (CG) algorithms are instrumental in many areas of applied optimization,
where Linear Programs with an enormous number of columns need to be solved. Although …

Enhancing column generation by a machine-learning-based pricing heuristic for graph coloring

Y Shen, Y Sun, X Li, A Eberhard, A Ernst - Proceedings of the AAAI …, 2022 - ojs.aaai.org
Column Generation (CG) is an effective method for solving large-scale optimization
problems. CG starts by solving a subproblem with a subset of columns (ie, variables) and …

A wide branching strategy for the graph coloring problem

DR Morrison, JJ Sauppe, EC Sewell… - INFORMS Journal …, 2014 - pubsonline.informs.org
Branch-and-price algorithms for the graph coloring problem use an exponentially sized
independent set-based integer programming formulation to produce usually tight lower …

A deep reinforcement learning framework for column generation

C Chi, A Aboussalah, E Khalil, J Wang… - Advances in …, 2022 - proceedings.neurips.cc
Column Generation (CG) is an iterative algorithm for solving linear programs (LPs) with an
extremely large number of variables (columns). CG is the workhorse for tackling large-scale …