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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

In this work, we use the matrix formulation of the Permutation Flowshop Scheduling Problem with makespan minimization to derive an upper bound and a general framework for obtaining lower bounds. The proposed framework involves solving a…

Optimization and Control · Mathematics 2026-03-06 J. A. Alejandro-Soto , Carlos Segura , Joel Antonio Trejo-Sanchez

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

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

Job-shop scheduling problem (JSP) is a mathematical optimization problem widely used in industries like manufacturing, and flexible JSP (FJSP) is also a common variant. Since they are NP-hard, it is intractable to find the optimal solution…

Artificial Intelligence · Computer Science 2023-10-04 Kuo-Hao Ho , Ruei-Yu Jheng , Ji-Han Wu , Fan Chiang , Yen-Chi Chen , Yuan-Yu Wu , I-Chen Wu

The Job Shop Scheduling Problem (JSP) is a pivotal challenge in operations research and is essential for evaluating the effectiveness and performance of scheduling algorithms. Scheduling problems are a crucial domain in combinatorial…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-24 Christian Perez , Carlos March , Miguel A. Salido

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

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

Warehouses are nowadays the scene of complex logistic problems integrating different decision layers. This paper addresses the Joint Order Batching, Picker Routing and Sequencing Problem with Deadlines (JOBPRSP-D) in rectangular warehouses.…

Optimization and Control · Mathematics 2023-07-04 Olivier Briant , Hadrien Cambazard , Diego Cattaruzza , Nicolas Catusse , Anne-Laure Ladier , Maxime Ogier

For scheduling in flexible manufacturing system (FMS), many factors should be considered, it is difficult to solve the scheduling problem by satisfying different criteria (production cost, utilization of system, number of movements of part,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-24 U Yongnam , Ri Taehyong

The Jobs shop Scheduling Problem (JSP) is a canonical combinatorial optimization problem that is routinely solved for a variety of industrial purposes. It models the optimal scheduling of multiple sequences of tasks, each under a fixed…

Machine Learning · Computer Science 2021-10-14 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck

The subject of Job Scheduling Optimisation (JSO) deals with the scheduling of jobs in an organization, so that the single working steps are optimally organized regarding the postulated targets. In this paper a use case is provided which…

Artificial Intelligence · Computer Science 2021-09-13 Marc Geitz , Cristian Grozea , Wolfgang Steigerwald , Robin Stöhr , Armin Wolf

Flexible job shop scheduling has been noticed as an effective manufacturing system to cope with rapid development in today's competitive environment. Flexible job shop scheduling problem (FJSSP) is known as a NP-hard problem in the field of…

Optimization and Control · Mathematics 2012-07-11 Sayedmohammadreza Vaghefinezhad , Kuan Yew Wong

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

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

Recently, a variety of constraint programming and Boolean satisfiability approaches to scheduling problems have been introduced. They have in common the use of relatively simple propagation mechanisms and an adaptive way to focus on the…

Artificial Intelligence · Computer Science 2011-09-28 Diarmuid Grimes , Emmanuel Hebrard

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 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

This report contains the description of two novel job shop scheduling benchmarks that resemble instances of real scheduling problem as they appear in industry. In particular, the aim was to provide large-scale benchmarks (up to 1 million…

Data Structures and Algorithms · Computer Science 2021-03-29 Giacomo Da Col , Erich Teppan

The rise of Industry 5.0 has introduced new demands for manufacturing companies, requiring a shift in how production schedules are managed to address human centered, environmental, and economic goals comprehensively. The flexible job shop…

Neural and Evolutionary Computing · Computer Science 2025-05-28 Hessam Bakhshi-Khaniki , Reza Tavakkoli-Moghaddam , Zdenek Hanzalek , Behdin Vahedi-Nouri
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