Print Email Facebook Twitter Reinforcement Learning for the Knapsack Problem Title Reinforcement Learning for the Knapsack Problem Author Pierotti, J. (TU Delft Discrete Mathematics and Optimization) Kronmueller, Maximilian Alonso-Mora, J. (TU Delft Learning & Autonomous Control) van Essen, J.T. (TU Delft Discrete Mathematics and Optimization) Böhmer, J.W. (TU Delft Algorithmics) Date 2021 Abstract Combinatorial optimization (CO) problems are at the heart of both practical and theoretical research. Due to their complexity, many problems cannot be solved via exact methods in reasonable time; hence, we resort to heuristic solution methods. In recent years, machine learning (ML) has brought immense benefits in many research areas, including heuristic solution methods for CO problems. Among ML methods, reinforcement learning (RL) seems to be the most promising method to find good solutions for CO problems. In this work, we investigate an RL framework, whose agent is based on self-attention, to achieve solutions for the knapsack problem, which is a CO problem. Our algorithm finds close to optimal solutions for instances up to one hundred items, which leads to conjecture that RL and self-attention may be major building blocks for future state-of-the-art heuristics for other CO problems. Subject End-to-endKnapsack problemMulti-task DQNReinforcement learningSelf-attentionTransformer To reference this document use: http://resolver.tudelft.nl/uuid:50c89fbd-7270-49db-bd9c-0ef49efb66bc DOI https://doi.org/10.1007/978-3-030-86286-2_1 Publisher Springer Nature Embargo date 2023-07-01 Source AIRO Springer Series Series AIRO Springer Series, 2523-7047, 6 Bibliographical note Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type book chapter Rights © 2021 J. Pierotti, Maximilian Kronmueller, J. Alonso-Mora, J.T. van Essen, J.W. Böhmer Files PDF 978_3_030_86286_2_1.pdf 400.46 KB Close viewer /islandora/object/uuid:50c89fbd-7270-49db-bd9c-0ef49efb66bc/datastream/OBJ/view