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The rise of smart manufacturing under Industry 4.0 introduces mass customization and dynamic production, demanding more advanced and flexible scheduling techniques. The flexible job-shop scheduling problem (FJSP) has attracted significant…

Machine Learning · Computer Science 2026-03-04 Jiaqi Wang , Zhiguang Cao , Peng Zhao , Rui Cao , Yubin Xiao , Yuan Jiang , You Zhou

We study a stochastic single-machine scheduling problem, denoted the Unreliable Job Selection and Sequencing Problem (UJSSP). Given a set of jobs, a subset must be selected for processing on a single machine that is subject to failure. Each…

Discrete Mathematics · Computer Science 2025-11-24 Alessandro Agnetis , Roel Leus , Emmeline Perneel , Ilaria Salvadori

Motivated by the current research in data centers and cloud computing, we study the problem of scheduling a set of two-stage jobs on multiple two-stage flowshops. A new formulation for configurations of such scheduling is proposed, which…

Data Structures and Algorithms · Computer Science 2018-01-30 Guangwei Wu , Jianer Chen , Jianxin Wang

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

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

This paper proposes a novel Variational Graph-to-Scheduler (VG2S) framework for solving the Job Shop Scheduling Problem (JSSP), a critical task in manufacturing that directly impacts operational efficiency and resource utilization.…

Machine Learning · Computer Science 2026-02-04 Seung Heon Oh , Jiwon Baek , Ki Young Cho , Hee Chang Yoon , Jong Hun Woo

The Job-Shop Scheduling Problem (JSSP) and its variant, the Flexible Job-Shop Scheduling Problem (FJSSP), are combinatorial optimization problems studied thoroughly in the literature. Generally, the aim is to reduce the makespan of a…

Data Structures and Algorithms · Computer Science 2025-04-24 Marc-Emmanuel Coupvent des Graviers , Lotfi Kobrosly , Christophe Guettier , Tristan Cazenave

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 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 Job-shop Scheduling Problem (JSP) is a well-known and challenging combinatorial optimization problem in which tasks sharing a machine are to be arranged in a sequence such that encompassing jobs can be completed as early as possible. In…

Artificial Intelligence · Computer Science 2025-08-13 Mohammed M. S. El-Kholany , Martin Gebser , Konstantin Schekotihin

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

In smart manufacturing systems (SMSs), flexible job-shop scheduling with transportation constraints (FJSPT) is essential to optimize solutions for maximizing productivity, considering production flexibility based on automated guided…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Sihoon Moon , Sanghoon Lee , Kyung-Joon Park

This paper addresses the Flexible Job Shop Scheduling Problem and its extension with Worker Flexibility, which integrates workforce assignment into machine-operation scheduling. Diverse solvers have been proposed across multiple…

Neural and Evolutionary Computing · Computer Science 2026-05-06 David Hutter , Thomas Steinberger , Michael Hellwig

The Job Shop Scheduling Problem (JSP) is central to operations research, primarily optimizing energy efficiency due to its profound environmental and economic implications. Efficient scheduling enhances production metrics and mitigates…

Artificial Intelligence · Computer Science 2025-11-25 Carlos March , Christian Perez , Miguel A. Salido

Neural approaches to the Flexible Job Shop Scheduling Problem (FJSP), particularly those based on deep reinforcement learning (DRL), have gained growing attention in recent years. However, existing methods rely on complex feature-engineered…

Machine Learning · Computer Science 2026-03-10 Xiangjie Xiao , Cong Zhang , Wen Song , Zhiguang Cao

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

Scheduling plays an important role in automated production. Its impact can be found in various fields such as the manufacturing industry, the service industry and the technology industry. A scheduling problem (NP-hard) is a task of finding…

Artificial Intelligence · Computer Science 2022-10-10 Hongjian Zhou , Boyang Gu , Chenghao Jin

Dynamic Flexible Job Shop Scheduling (DFJSS) is a complex combinatorial optimisation problem that requires simultaneous machine assignment and operation sequencing decisions in dynamic production environments. Genetic Programming (GP) has…

Artificial Intelligence · Computer Science 2026-01-23 Luyao Zhu , Fangfang Zhang , Yi Mei , Mengjie Zhang

Flexible Job Shop Scheduling (FJSSP) is a complex optimization problem crucial for real-world process scheduling in manufacturing. Efficiently solving such problems is vital for maintaining competitiveness. This paper introduces Quantum…

Quantum Physics · Physics 2023-12-07 Philipp Schworm , Xiangquian Wu , Matthias Klar , Moritz Glatt , Jan C. Aurich

In recent years, the power demonstrated by Machine Learning (ML) has increasingly attracted the interest of the optimization community that is starting to leverage ML for enhancing and automating the design of algorithms. One combinatorial…

Machine Learning · Computer Science 2022-09-19 Andrea Corsini , Simone Calderara , Mauro Dell'Amico