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Deep reinforcement learning (DRL) has attracted much attention as an approach to solve optimal control problems without mathematical models of systems. On the other hand, in general, constraints may be imposed on optimal control problems.…

Machine Learning · Statistics 2022-11-22 Junya Ikemoto , Toshimitsu Ushio

Dynamic Programming (DP) provides standard algorithms to solve Markov Decision Processes. However, these algorithms generally do not optimize a scalar objective function. In this paper, we draw connections between DP and (constrained)…

Machine Learning · Computer Science 2019-10-30 Nino Vieillard , Olivier Pietquin , Matthieu Geist

Several applications in the scientific simulation of physical systems can be formulated as control/optimization problems. The computational models for such systems generally contain hyperparameters, which control solution fidelity and…

Computational Physics · Physics 2020-12-09 Suraj Pawar , Romit Maulik

Researchers have demonstrated that Deep Reinforcement Learning (DRL) is a powerful tool for finding policies that perform well on complex robotic systems. However, these policies are often unpredictable and can induce highly variable…

Robotics · Computer Science 2022-03-08 Sean Gillen , Asutay Ozmen , Katie Byl

Deep Reinforcement Learning (DRL) and Deep Multi-agent Reinforcement Learning (MARL) have achieved significant successes across a wide range of domains, including game AI, autonomous vehicles, robotics, and so on. However, DRL and deep MARL…

Artificial Intelligence · Computer Science 2023-02-03 Jianye Hao , Tianpei Yang , Hongyao Tang , Chenjia Bai , Jinyi Liu , Zhaopeng Meng , Peng Liu , Zhen Wang

In standard reinforcement learning (RL), a learning agent seeks to optimize the overall reward. However, many key aspects of a desired behavior are more naturally expressed as constraints. For instance, the designer may want to limit the…

Machine Learning · Computer Science 2021-01-29 Sobhan Miryoosefi , Kianté Brantley , Hal Daumé , Miroslav Dudik , Robert Schapire

We present an end-to-end framework for solving the Vehicle Routing Problem (VRP) using reinforcement learning. In this approach, we train a single model that finds near-optimal solutions for problem instances sampled from a given…

Artificial Intelligence · Computer Science 2018-05-23 Mohammadreza Nazari , Afshin Oroojlooy , Lawrence V. Snyder , Martin Takáč

Quadratic programming is a workhorse of modern nonlinear optimization, control, and data science. Although regularized methods offer convergence guarantees under minimal assumptions on the problem data, they can exhibit the slow…

Optimization and Control · Mathematics 2026-05-18 Jeremy Bertoncini , Alberto De Marchi , Matthias Gerdts , Simon Gottschalk

The following interdisciplinary article presents a memetic algorithm with applying deep reinforcement learning (DRL) for solving practically oriented dual resource constrained flexible job shop scheduling problems (DRC-FJSSP). From research…

Machine Learning · Computer Science 2023-07-10 Felix Grumbach , Nour Eldin Alaa Badr , Pascal Reusch , Sebastian Trojahn

Constrained Reinforcement Learning (CRL) aims to optimize decision-making policies under constraint conditions, making it highly applicable to safety-critical domains such as autonomous driving, robotics, and power grid management. However,…

Machine Learning · Computer Science 2026-02-16 Wentao Xu , Zhongming Yao , Weihao Li , Zhenghang Song , Yumeng Song , Tianyi Li , Yushuai Li

The Vehicle Routing Problem (VRP) is a fundamental challenge in logistics management research, given its substantial influence on transportation efficiency, cost minimization, and service quality. As a combinatorial optimization problem,…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Souad Abdoune , Menouar Boulif

Reinforcement Learning (RL) is increasingly applied to large-scale decision-making problems like logistics, scheduling, and recommender systems, but existing algorithms struggle with the curse of dimensionality in such large discrete action…

Machine Learning · Computer Science 2026-05-12 Heiko Hoppe , Fabian Akkerman , Wouter van Heeswijk , Maximilian Schiffer

The Capacitated Vehicle Routing Problem (CVRP) is a core NP-hard problem in the field of combinatorial optimization. It aims to plan optimal routes for a fleet of vehicles with uniform capacity, serving a set of customers with specific…

Data Structures and Algorithms · Computer Science 2026-04-07 Yongyu Chen

Reinforcement Learning (RL) is an important machine learning paradigm for solving sequential decision-making problems. Recent years have witnessed remarkable progress in this field due to the rapid development of deep neural networks.…

Machine Learning · Computer Science 2026-04-08 Chaofan Pan , Xin Yang , Yanhua Li , Wei Wei , Tianrui Li , Bo An , Jiye Liang

We study a Federated Reinforcement Learning (FedRL) problem with constraint heterogeneity. In our setting, we aim to solve a reinforcement learning problem with multiple constraints while $N$ training agents are located in $N$ different…

Machine Learning · Computer Science 2024-05-07 Hao Jin , Liangyu Zhang , Zhihua Zhang

We approach the task of network congestion control in datacenters using Reinforcement Learning (RL). Successful congestion control algorithms can dramatically improve latency and overall network throughput. Until today, no such…

Deep reinforcement learning has shown promise in discrete domains requiring complex reasoning, including games such as Chess, Go, and Hanabi. However, this type of reasoning is less often observed in long-horizon, continuous domains with…

Machine Learning · Computer Science 2022-06-07 Andrew C. Li , Pashootan Vaezipoor , Rodrigo Toro Icarte , Sheila A. McIlraith

Reinforcement learning (RL) struggles to scale to large, combinatorial action spaces common in many real-world problems. This paper introduces a novel framework for training discrete diffusion models as highly effective policies in these…

Machine Learning · Computer Science 2026-05-21 Haitong Ma , Ofir Nabati , Aviv Rosenberg , Bo Dai , Oran Lang , Craig Boutilier , Na Li , Shie Mannor , Lior Shani , Guy Tenneholtz

The decentralisation and unpredictability of new renewable energy sources require rethinking our energy system. Data-driven approaches, such as reinforcement learning (RL), have emerged as new control strategies for operating these systems,…

Optimization and Control · Mathematics 2023-07-11 Marine Cauz , Adrien Bolland , Bardhyl Miftari , Lionel Perret , Christophe Ballif , Nicolas Wyrsch

While reinforcement learning (RL) holds great potential for decision making in the real world, it suffers from a number of unique difficulties which often need specific consideration. In particular: it is highly non-stationary; suffers from…

Machine Learning · Computer Science 2025-04-16 Alexander David Goldie , Chris Lu , Matthew Thomas Jackson , Shimon Whiteson , Jakob Nicolaus Foerster
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