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Column generation is an iterative method used to solve a variety of optimization problems. It decomposes the problem into two parts: a master problem, and one or more pricing problems (PP). The total computing time taken by the method is…

Optimization and Control · Mathematics 2022-01-10 Mouad Morabit , Guy Desaulniers , Andrea Lodi

This paper presents Grammar Reinforcement Learning (GRL), a reinforcement learning algorithm that uses Monte Carlo Tree Search (MCTS) and a transformer architecture that models a Pushdown Automaton (PDA) within a context-free grammar (CFG)…

Artificial Intelligence · Computer Science 2025-01-24 Jason Piquenot , Maxime Bérar , Pierre Héroux , Jean-Yves Ramel , Romain Raveaux , Sébastien Adam

The vehicle routing problem with two-dimensional loading constraints (2L-CVRP) and the last-in-first-out (LIFO) rule presents significant practical and algorithmic challenges. While numerous heuristic approaches have been proposed to…

Artificial Intelligence · Computer Science 2024-06-19 Yifan Xia , Xiangyi Zhang

We present a data-efficient framework for solving sequential decision-making problems which exploits the combination of reinforcement learning (RL) and latent variable generative models. The framework, called GenRL, trains deep policies by…

Machine Learning · Computer Science 2022-04-20 Ali Ghadirzadeh , Petra Poklukar , Karol Arndt , Chelsea Finn , Ville Kyrki , Danica Kragic , Mårten Björkman

Set covering problem is an important class of combinatorial optimization problems, which has been widely applied and studied in many fields. In this paper, we propose an improved column generation algorithm with neural prediction (CG-P) for…

Machine Learning · Computer Science 2022-07-13 Haofeng Yuan , Peng Jiang , Shiji Song

The column-and-constraint generation (CCG) method was introduced by \citet{Zeng2013} for solving two-stage adaptive optimization. We found that the CCG method is quite scalable, but sometimes, and in some applications often, produces…

Optimization and Control · Mathematics 2018-07-10 Dimitris Bertsimas , Shimrit Shtern

This paper focuses on the critical load restoration problem in distribution systems following major outages. To provide fast online response and optimal sequential decision-making support, a reinforcement learning (RL) based approach is…

Systems and Control · Electrical Eng. & Systems 2024-01-30 Xiangyu Zhang , Abinet Tesfaye Eseye , Bernard Knueven , Weijia Liu , Matthew Reynolds , Wesley Jones

The integration of intermittent renewable energy sources into distribution networks introduces significant uncertainties and fluctuations, challenging their operational security, stability, and efficiency. This paper considers robust…

Systems and Control · Electrical Eng. & Systems 2025-06-02 Runjie Zhang , Kaiping Qu , Changhong Zhao , Wanjun Huang

Generative design refers to computational design methods that can automatically conduct design exploration under constraints defined by designers. Among many approaches, topology optimization-based generative designs aim to explore diverse…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Seowoo Jang , Soyoung Yoo , Namwoo Kang

We introduce a simple, accurate, and extremely efficient method for numerically solving the multi-marginal optimal transport (MMOT) problems arising in density functional theory. The method relies on (i) the sparsity of optimal plans [for…

Machine Learning · Computer Science 2021-03-24 Gero Friesecke , Andreas S. Schulz , Daniela Vögler

Freighter airlines need to recover both aircraft and cargo schedules when disruptions happen. This process is usually divided into three sequential decisions to recovery flights, aircraft, and cargoes. This study focuses on the integrated…

Optimization and Control · Mathematics 2022-09-29 Lei Huang , Fan Xiao , Zhe Liang

For reinforcement learning (RL), it is challenging for an agent to master a task that requires a specific series of actions due to sparse rewards. To solve this problem, reverse curriculum generation (RCG) provides a reverse expansion…

Machine Learning · Computer Science 2021-08-05 Zih-Yun Chiu , Yi-Lin Tuan , Hung-yi Lee , Li-Chen Fu

The number of cancer cases per year is rapidly increasing worldwide. In radiation therapy (RT), radiation from linear accelerators is used to kill malignant tumor cells. Scheduling patients for RT is difficult both due to the numerous…

Optimization and Control · Mathematics 2023-03-21 Sara Frimodig , Per Enqvist , Jan Kronqvist

We investigate how reinforcement learning can be used to train level-designing agents. This represents a new approach to procedural content generation in games, where level design is framed as a game, and the content generator itself is…

Machine Learning · Computer Science 2020-08-14 Ahmed Khalifa , Philip Bontrager , Sam Earle , Julian Togelius

Column generation is often used to solve multi-commodity flow problems. A program for column generation always includes a module that solves a linear equation. In this paper, we address three major issues in solving linear problem during…

Optimization and Control · Mathematics 2019-03-19 Liyun Dai , Hengjun Zhao , Zhiming Liu

Electric utility companies perform numerous technical interventions every day. Since it is generally not possible to complete all planned interventions within a single day, companies face two objectives: maximizing the total duration of…

Optimization and Control · Mathematics 2026-04-08 Elise Bangerter , David Schindl , Meritxell Pacheco Paneque , Nour Elhouda Tellache , Rodolphe Griset

Multi-Chip-Modules (MCMs) reduce the design and fabrication cost of machine learning (ML) accelerators while delivering performance and energy efficiency on par with a monolithic large chip. However, ML compilers targeting MCMs need to…

Recently, reinforcement learning models have achieved great success, mastering complex tasks such as Go and other games with higher scores than human players. Many of these models store considerable data on the tasks and achieve high…

Neural and Evolutionary Computing · Computer Science 2019-12-10 Hanten Chang , Katsuya Futagami

Two-stage stochastic unit commitment (2S-SUC) problems have been widely adopted to manage the uncertainties introduced by high penetrations of intermittent renewable energy resources. While decomposition-based algorithms such as…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Zhentong Shao , Jingtao Qin , Nanpeng Yu

In this research we consider the problem of accelerating the convergence of column generation (CG) for the weighted set cover formulation of the capacitated vehicle routing problem with time windows (CVRPTW). We adapt two new techniques,…

Optimization and Control · Mathematics 2023-04-25 Udayan Mandal , Amelia Regan , Louis Martin Rousseau , Julian Yarkony