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Combinatorial optimization has found applications in numerous fields, from aerospace to transportation planning and economics. The goal is to find an optimal solution among a finite set of possibilities. The well-known challenge one faces…

Artificial Intelligence · Computer Science 2020-06-03 Quentin Cappart , Thierry Moisan , Louis-Martin Rousseau , Isabeau Prémont-Schwarz , Andre Cire

In scheduling problems common in the industry and various real-world scenarios, responding in real-time to disruptive events is essential. Recent methods propose the use of deep reinforcement learning (DRL) to learn policies capable of…

Artificial Intelligence · Computer Science 2024-01-31 Imanol Echeverria , Maialen Murua , Roberto Santana

Solving job shop scheduling problems (JSSPs) with a fixed strategy, such as a priority dispatching rule, may yield satisfactory results for several problem instances but, nevertheless, insufficient results for others. From this…

Artificial Intelligence · Computer Science 2023-05-18 Constantin Waubert de Puiseau , Hasan Tercan , Tobias Meisen

The Flexible Job-shop Scheduling Problem (FJSP) is a classical combinatorial optimization problem that has a wide-range of applications in the real world. In order to generate fast and accurate scheduling solutions for FJSP, various deep…

Machine Learning · Computer Science 2025-09-10 Xinquan Wu , Xuefeng Yan , Mingqiang Wei , Donghai Guan

Constraint Programming (CP) is a declarative programming paradigm that allows for modeling and solving combinatorial optimization problems, such as the Job-Shop Scheduling Problem (JSSP). While CP solvers manage to find optimal or…

Artificial Intelligence · Computer Science 2023-06-12 Pierre Tassel , Martin Gebser , Konstantin Schekotihin

The Flexible Job Shop Scheduling Problem (FJSP) is the optimal allocation of a set of jobs to machines. Two primary challenges persist in FJSP: the unpredictable arrival of future jobs and the combinatorial complexity of the problem,…

Artificial Intelligence · Computer Science 2026-05-22 Yu Tang , Muhammad Zakwan , Efe Balta , John Lygeros , Alisa Rupenyan

Scheduling is a fundamental task occurring in various automated systems applications, e.g., optimal schedules for machines on a job shop allow for a reduction of production costs and waste. Nevertheless, finding such schedules is often…

Machine Learning · Computer Science 2021-04-09 Pierre Tassel , Martin Gebser , Konstantin Schekotihin

Recent studies in using deep reinforcement learning (DRL) to solve Job-shop scheduling problems (JSSP) focus on construction heuristics. However, their performance is still far from optimality, mainly because the underlying graph…

Machine Learning · Computer Science 2024-02-15 Cong Zhang , Zhiguang Cao , Wen Song , Yaoxin Wu , Jie Zhang

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

The traveling purchaser problem (TPP) is an important combinatorial optimization problem with broad applications. Due to the coupling between routing and purchasing, existing works on TPPs commonly address route construction and purchase…

Optimization and Control · Mathematics 2025-07-03 Haofeng Yuan , Rongping Zhu , Wanlu Yang , Shiji Song , Keyou You , Wei Fan , C. L. Philip Chen

Dynamic Programming (DP) and Constraint Programming (CP) are well-established paradigms for solving combinatorial optimization problems. Usually, these two approaches are used separately. This paper aims to show that the two can be combined…

Artificial Intelligence · Computer Science 2026-05-25 Emma Legrand , Roger Kameugne , Pierre Schaus

This paper explores the potential application of Deep Reinforcement Learning in the furniture industry. To offer a broad product portfolio, most furniture manufacturers are organized as a job shop, which ultimately results in the Job Shop…

Artificial Intelligence · Computer Science 2024-09-19 Malte Schneevogt , Karsten Binninger , Noah Klarmann

Job-Shop Scheduling Problem (JSSP) is a combinatorial optimization problem where tasks need to be scheduled on machines in order to minimize criteria such as makespan or delay. To address more realistic scenarios, we associate a probability…

Artificial Intelligence · Computer Science 2024-04-03 Guillaume Infantes , Stéphanie Roussel , Pierre Pereira , Antoine Jacquet , Emmanuel Benazera

In this work, we study how to efficiently apply reinforcement learning (RL) for solving large-scale stochastic optimization problems by leveraging intervention models. The key of the proposed methodology is to better explore the solution…

Machine Learning · Computer Science 2026-01-13 Defeng Liu , Ying Liu , Carson Eisenach

The dynamic job-shop scheduling problem (DJSP) is a class of scheduling tasks that specifically consider the inherent uncertainties such as changing order requirements and possible machine breakdown in realistic smart manufacturing…

Artificial Intelligence · Computer Science 2022-01-04 Yunhui Zeng , Zijun Liao , Yuanzhi Dai , Rong Wang , Xiu Li , Bo Yuan

This paper gives a detailed review of reinforcement learning (RL) in combinatorial optimization, introduces the history of combinatorial optimization starting in the 1950s, and compares it with the RL algorithms of recent years. This paper…

Machine Learning · Computer Science 2023-10-04 Yunhao Yang , Andrew Whinston

This paper presents a framework to tackle constrained combinatorial optimization problems using deep Reinforcement Learning (RL). To this end, we extend the Neural Combinatorial Optimization (NCO) theory in order to deal with constraints in…

Machine Learning · Computer Science 2020-06-23 Ruben Solozabal , Josu Ceberio , Martin Takáč

Constraint programming (CP) is a powerful technique for solving constraint satisfaction and optimization problems. In CP solvers, the variable ordering strategy used to select which variable to explore first in the solving process has a…

Artificial Intelligence · Computer Science 2023-04-13 Yuan Sun , Su Nguyen , Dhananjay Thiruvady , Xiaodong Li , Andreas T. Ernst , Uwe Aickelin

Machine scheduling aims to optimize job assignments to machines while adhering to manufacturing rules and job specifications. This optimization leads to reduced operational costs, improved customer demand fulfillment, and enhanced…

The Flexible Job Shop Scheduling Problem (FJSP) originates from real production lines, while some practical constraints are often ignored or idealized in current FJSP studies, among which the limited buffer problem has a particular impact…

Artificial Intelligence · Computer Science 2026-03-02 Shishun Zhang , Juzhan Xu , Yidan Fan , Chenyang Zhu , Ruizhen Hu , Yongjun Wang , Kai Xu
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