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This paper addresses the flexible job shop scheduling problem with sequencing flexibility and position-based learning effect. In this variant of the flexible job shop scheduling problem, precedence constraints of the operations constituting…

Optimization and Control · Mathematics 2024-03-26 Kennedy A. G. Araújo , Ernesto G. Birgin , Débora P. Ronconi

The fuzzy job shop scheduling problem (FJSSP) emerges as an innovative extension to the job shop scheduling problem (JSSP), incorporating a layer of uncertainty that aligns the problem more closely with the complexities of real-world…

Artificial Intelligence · Computer Science 2025-02-04 Yijian Wang , Tongxian Guo , Zhaoqiang Liu

The Flexible Job Shop Scheduling Problem (FJSP) is a combinatorial problem that continues to be studied extensively due to its practical implications in manufacturing systems and emerging new variants, in order to model and optimize more…

The scheduling of production resources (such as associating jobs to machines) plays a vital role for the manufacturing industry not only for saving energy but also for increasing the overall efficiency. Among the different job scheduling…

Artificial Intelligence · Computer Science 2023-03-07 Deepak Vivekanandan , Samuel Wirth , Patrick Karlbauer , Noah Klarmann

Job Shop Scheduling (JSS) is one of the most studied combinatorial optimization problems. It involves scheduling a set of jobs with predefined processing constraints on a set of machines to achieve a desired objective, such as minimizing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-08 Karima Rihane , Adel Dabah , Abdelhakim AitZai

Job shop scheduling problems address the routing and sequencing of tasks in a job shop setting. Despite significant interest from operations research and machine learning communities over the years, a comprehensive platform for testing and…

Artificial Intelligence · Computer Science 2025-03-18 Robbert Reijnen , Igor G. Smit , Hongxiang Zhang , Yaoxin Wu , Zaharah Bukhsh , Yingqian Zhang

The Flexible Job-Shop Scheduling Problem (FJSSP) is an NP-hard combinatorial optimization problem, with several application domains, especially for manufacturing purposes. The objective is to efficiently schedule multiple operations on…

Artificial Intelligence · Computer Science 2025-05-21 Lotfi Kobrosly , Marc-Emmanuel Coupvent des Graviers , Christophe Guettier , Tristan Cazenave

There is a growing interest in integrating machine learning techniques and optimization to solve challenging optimization problems. In this work, we propose a deep reinforcement learning methodology for the job shop scheduling problem…

Optimization and Control · Mathematics 2023-11-22 Marta Monaci , Valerio Agasucci , Giorgio Grani

Job shop scheduling problems (JSSPs) represent a critical and challenging class of combinatorial optimization problems. Recent years have witnessed a rapid increase in the application of graph neural networks (GNNs) to solve JSSPs, albeit…

Artificial Intelligence · Computer Science 2024-12-09 Igor G. Smit , Jianan Zhou , Robbert Reijnen , Yaoxin Wu , Jian Chen , Cong Zhang , Zaharah Bukhsh , Yingqian Zhang , Wim Nuijten

Increased flexibility in job shops leads to more complexity in decision-making for shop floor engineers. Partial Flexible Job Shop Scheduling (PFJSS) is a subset of Job shop problems and has substantial application in the real world.…

Optimization and Control · Mathematics 2023-08-08 M. Thenarasu , K. Rameshkumar , M. Di Mascolo , S. P. Anbuudayasankar

Large Language Models (LLMs) have shown remarkable capabilities across various domains, but their potential for solving combinatorial optimization problems remains largely unexplored. In this paper, we investigate the applicability of LLMs…

Machine Learning · Computer Science 2025-03-28 Henrik Abgaryan , Tristan Cazenave , Ararat Harutyunyan

The classical Job Shop Scheduling Problem (JSSP) focuses on optimizing makespan under deterministic constraints. Real-world production environments introduce additional complexities that cause traditional scheduling approaches to be less…

Machine Learning · Computer Science 2025-06-18 Jonathan Hoss , Felix Schelling , Noah Klarmann

Job shop scheduling problems represent a significant and complex facet of combinatorial optimization problems, which have traditionally been addressed through either exact or approximate solution methodologies. However, the practical…

Artificial Intelligence · Computer Science 2024-03-19 Jaejin Lee , Seho Kee , Mani Janakiram , George Runger

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

The NP-hard Dynamic Flexible Job-Shop Scheduling (DFJSP) problem involves real-time events and complex routing. While traditional rules are efficient but rigid, deep learning is opaque and requires feature engineering. Large Language Models…

Artificial Intelligence · Computer Science 2026-01-21 Shijie Cao , Yuan Yuan

The permutation flow shop scheduling (PFSS), aiming at finding the optimal permutation of jobs, is widely used in manufacturing systems. When solving large-scale PFSS problems, traditional optimization algorithms such as heuristics could…

Machine Learning · Computer Science 2023-12-15 Longkang Li , Siyuan Liang , Zihao Zhu , Chris Ding , Hongyuan Zha , Baoyuan Wu

As rapidly growing AI computational demands accelerate the need for new hardware installation and maintenance, this work explores optimal data center resource management by balancing operational efficiency with fault tolerance through…

Artificial Intelligence · Computer Science 2025-04-02 Chang-Lin Chen , Jiayu Chen , Tian Lan , Zhaoxia Zhao , Hongbo Dong , Vaneet Aggarwal

Long-horizon Flexible Job-Shop Scheduling~(FJSP) presents a formidable combinatorial challenge due to complex, interdependent decisions spanning extended time horizons. While learning-based Rolling Horizon Optimization~(RHO) has emerged as…

Machine Learning · Computer Science 2026-04-14 Yujie Li , Jiuniu Wang , Mugen Peng , Guangzuo Li , Wenjia Xu

This paper addresses the challenge of incremental learning in growing graphs with increasingly complex tasks. The goal is to continuously train a graph model to handle new tasks while retaining proficiency in previous tasks via memory…

Machine Learning · Computer Science 2025-03-04 Ziyue Qiao , Junren Xiao , Qingqiang Sun , Meng Xiao , Xiao Luo , Hui Xiong

The integration of Reinforcement Learning (RL) with heuristic methods is an emerging trend for solving optimization problems, which leverages RL's ability to learn from the data generated during the search process. One promising approach is…

Machine Learning · Computer Science 2024-09-19 Arthur Müller , Lukas Vollenkemper