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We propose a framework to learn to schedule a job-shop problem (JSSP) using a graph neural network (GNN) and reinforcement learning (RL). We formulate the scheduling process of JSSP as a sequential decision-making problem with graph…

Artificial Intelligence · Computer Science 2021-06-03 Junyoung Park , Jaehyeong Chun , Sang Hun Kim , Youngkook Kim , Jinkyoo Park

The job shop scheduling problem is an NP-hard combinatorial optimization problem relevant to manufacturing and timetabling. Traditional approaches use priority dispatching rules based on simple heuristics. Recent work has attempted to…

Machine Learning · Computer Science 2025-06-18 Pablo Ariño Fernández

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

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

Reinforcement learning (RL) is increasingly adopted in job shop scheduling problems (JSSP). But RL for JSSP is usually done using a vectorized representation of machine features as the state space. It has three major problems: (1) the…

Machine Learning · Computer Science 2023-05-17 Mohammed Sharafath Abdul Hameed , Andreas Schwung

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

Priority dispatching rule (PDR) is widely used for solving real-world Job-shop scheduling problem (JSSP). However, the design of effective PDRs is a tedious task, requiring a myriad of specialized knowledge and often delivering limited…

Machine Learning · Computer Science 2020-10-26 Cong Zhang , Wen Song , Zhiguang Cao , Jie Zhang , Puay Siew Tan , Chi Xu

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

Job scheduling is a well-known Combinatorial Optimization problem with endless applications. Well planned schedules bring many benefits in the context of automated systems: among others, they limit production costs and waste. Nevertheless,…

Artificial Intelligence · Computer Science 2023-08-04 Giovanni Bonetta , Davide Zago , Rossella Cancelliere , Andrea Grosso

The emergence of Industry 4.0 is making production systems more flexible and also more dynamic. In these settings, schedules often need to be adapted in real-time by dispatching rules. Although substantial progress was made until the '90s,…

Machine Learning · Computer Science 2022-04-11 Cristiane Ferreira , Gonçalo Figueira , Pedro Amorim

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

The Job Shop Scheduling Problem (JSSP) is commonly formulated as a disjunctive graph in which nodes represent operations and edges encode technological precedence constraints as well as machine-sharing conflicts. Most existing reinforcement…

Machine Learning · Computer Science 2026-03-10 Bulent Soykan

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

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

The Flexible Job-shop Scheduling Problem (FJSP) is an important combinatorial optimization problem that arises in manufacturing and service settings. FJSP is composed of two subproblems, an assignment problem that assigns tasks to machines,…

Artificial Intelligence · Computer Science 2023-01-25 Wenbo Chen , Reem Khir , Pascal Van Hentenryck

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

The Resource-Constrained Project Scheduling Problem (RCPSP) is a classical scheduling problem that has received significant attention due to of its numerous applications in industry. However, in practice, task durations are subject to…

Artificial Intelligence · Computer Science 2025-11-18 Guillaume Infantes , Stéphanie Roussel , Antoine Jacquet , Emmanuel Benazera

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

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 no-wait flowshop scheduling problem is a variant of the classical permutation flowshop problem, with the additional constraint that jobs have to be processed by the successive machines without waiting time. To efficiently address this…

Artificial Intelligence · Computer Science 2019-03-22 Lucien Mousin , Marie-Eléonore Kessaci , Clarisse Dhaenens
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