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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 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

Project scheduling in manufacturing environments often requires flexibility in terms of the selection and the exact length of alternative production activities. Moreover, the simultaneous scheduling of multiple lots is mandatory in many…

Artificial Intelligence · Computer Science 2020-10-26 Viktoria A. Hauder , Andreas Beham , Sebastian Raggl , Sophie N. Parragh , Michael Affenzeller

Efficient utilization of cooperating robots in the assembly of aircraft structures relies on balancing the workload of the robots and ensuring collision-free scheduling. We cast this problem as that of allocating a large number of…

We study the problem of designing systems in order to minimize cost while meeting a given flexibility target. Flexibility is attained by enforcing a joint chance constraint, which ensures that the system will exhibit feasible operation with…

Optimization and Control · Mathematics 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

This article presents an overview of a research study of a crucial optimization problem in the Computer Science/Operations research field: The Job-shop Scheduling Problem (JSP). The JSP is a challenging task in which a set of operations…

Logic in Computer Science · Computer Science 2022-08-08 Mohammed M. S. El-Kholany

In this work, we address a task allocation problem for human multi-robot settings. Given a set of tasks to perform, we formulate a general Mixed-Integer Linear Programming (MILP) problem aiming at minimizing the overall execution time while…

Robotics · Computer Science 2021-09-20 Martina Lippi , Alessandro Marino

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

The job shop scheduling problem (JSSP) remains a significant hurdle in optimizing production processes. This challenge involves efficiently allocating jobs to a limited number of machines while minimizing factors like total processing time…

Artificial Intelligence · Computer Science 2024-08-14 Henrik Abgaryan , Ararat Harutyunyan , Tristan Cazenave

We study the Joint Routing-Assignment (JRA) problem in which items must be assigned one-to-one to placeholders while simultaneously determining a Hamiltonian cycle visiting all nodes exactly once. Extending previous exact MIP solvers with…

Artificial Intelligence · Computer Science 2025-12-23 Yuan Qilong , Michal Pavelka

The Job Shop Scheduling Problem (JSSP) is a well-known optimization problem in manufacturing, where the goal is to determine the optimal sequence of jobs across different machines to minimize a given objective. In this work, we focus on…

Artificial Intelligence · Computer Science 2025-01-31 Laurie Boveroux , Damien Ernst , Quentin Louveaux

In this paper we consider a combination of the joint replenishment problem (JRP) and single machine scheduling with release dates. There is a single machine and one or more item types. Each job has a release date, a positive processing…

Data Structures and Algorithms · Computer Science 2022-03-03 Péter Györgyi , Tamás Kis , Tímea Tamási , József Békési

Combinatorial optimization problems, such as scheduling and route planning, are crucial in various industries but are computationally intractable due to their NP-hard nature. Neural Combinatorial Optimization methods leverage machine…

Machine Learning · Computer Science 2025-02-14 Imanol Echeverria , Maialen Murua , Roberto Santana

Robot assembly discovery is a challenging problem that lives at the intersection of resource allocation and motion planning. The goal is to combine a predefined set of objects to form something new while considering task execution with the…

Robotics · Computer Science 2022-08-03 Niklas Funk , Svenja Menzenbach , Georgia Chalvatzaki , Jan Peters

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

Effective and efficient task planning is essential for mobile robots, especially in applications like warehouse retrieval and environmental monitoring. These tasks often involve selecting one location from each of several target clusters,…

Artificial Intelligence · Computer Science 2026-03-23 Jiaqi Cheng , Mingfeng Fan , Xuefeng Zhang , Jingsong Liang , Yuhong Cao , Guohua Wu , Guillaume Adrien Sartoretti

Individualized manufacturing is becoming an important approach as a means to fulfill increasingly diverse and specific consumer requirements and expectations. While there are various solutions to the implementation of the manufacturing…

Robotics · Computer Science 2020-02-20 Caterina Neef , Dario Luipers , Jan Bollenbacher , Christian Gebel , Anja Richert

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

Coordinating production and material transfers is increasingly important in modern manufacturing systems equipped with mobile transfer robots, known as transbots. This study considers a flexible job shop environment in which heterogeneous…

Optimization and Control · Mathematics 2026-04-28 Arnovi Moinuddin , El Mehdi Er Raqabi , Pascal Van Hentenryck

We deal with a challenging scheduling problem on parallel machines with sequence-dependent setup times and release dates from a real-world application of semiconductor work-shop production. There, jobs can only be processed by dedicated…

Artificial Intelligence · Computer Science 2024-11-01 Thomas Eiter , Tobias Geibinger , Nysret Musliu , Johannes Oetsch , Peter Skocovsky , Daria Stepanova