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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

A flexible job shop scheduling problem (FJSSP) poses a complex optimization task in modeling real-world process scheduling tasks with conflicting objectives. To tackle FJSSPs, approximation methods are employed to ensure solutions are…

Quantum Physics · Physics 2024-08-29 Philipp Schworm , Xiangqian Wu , Matthias Klar , Jan C. Aurich

A quantum annealing solver for the renowned job-shop scheduling problem (JSP) is presented in detail. After formulating the problem as a time-indexed quadratic unconstrained binary optimization problem, several pre-processing and graph…

Quantum Physics · Physics 2016-10-18 Davide Venturelli , Dominic J. J. Marchand , Galo Rojo

The Job shop scheduling problem (JSSP) plays a pivotal role in industrial applications, such as signal processing (SP) and steel manufacturing, involving sequencing machines and jobs to maximize scheduling efficiency. Before, JSSP was…

Quantum Physics · Physics 2024-01-04 Yize Sun , Jiarui Liu , Yunpu Ma , Volker Tresp

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 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

Quantum annealing is a promising heuristic method to solve combinatorial optimization problems, and efforts to quantify performance on real-world problems provide insights into how this approach may be best used in practice. We investigate…

Quantum Physics · Physics 2023-09-07 Kazuki Ikeda , Yuma Nakamura , Travis S. Humble

Search-based software engineering (SBSE) addresses critical optimization challenges in software engineering, including the next release problem (NRP) and feature selection problem (FSP). While traditional heuristic approaches and integer…

Software Engineering · Computer Science 2025-07-01 Shuchang Wang , Xiaopeng Qiu , Yingxing Xue , Yanfu Li , Wei Yang

Efficient production planning is essential in modern manufacturing to improve performance indicators such as lead time and to reduce reliance on human intuition. While mathematical optimization approaches, formulated as job shop scheduling…

Quantum Physics · Physics 2025-11-06 Kenta Sawamura , Kensuke Araki , Naoki Maruyama , Renichiro Haba , Masayuki Ohzeki

Quantum Annealing (QA) relies on mixing two Hamiltonian terms, a simple driver and a complex problem Hamiltonian, in a linear combination. The time-dependent schedule for this mixing is often taken to be linear in time: improving on this…

Quantum Physics · Physics 2024-09-17 Giovanni Pecci , Ruiyi Wang , Pietro Torta , Glen Bigan Mbeng , Giuseppe Santoro

Quantum heuristics offer a potential advantage for combinatorial optimization but are constrained by near-term hardware limitations. We introduce Iterative-QAOA, a variant of QAOA designed to mitigate these constraints. The algorithm…

The Flexible Job Shop Scheduling Problem (FJSP) originates from real production lines, while some practical constraints are often ignored or idealized in current FJSP studies, among which the limited buffer problem has a particular impact…

Artificial Intelligence · Computer Science 2026-03-02 Shishun Zhang , Juzhan Xu , Yidan Fan , Chenyang Zhu , Ruizhen Hu , Yongjun Wang , Kai Xu

Present-day quantum systems face critical bottlenecks, including limited qubit counts, brief coherence intervals, and high susceptibility to errors-all of which obstruct the execution of large and complex circuits. The advancement of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-13 Waylon Luo , Jiapeng Zhao , Tong Zhan , Qiang Guan

The even distribution and optimization of tasks across resources and workstations is a critical process in manufacturing aimed at maximizing efficiency, productivity, and profitability, known as Robotic Assembly Line Balancing (RALB). With…

Quantum Physics · Physics 2024-12-13 Moritz Willmann , Marcel Albus , Jan Schnabel , Marco Roth

The quest for real-time dynamic optimization solutions in the process industry represents a formidable computational challenge, particularly within the realm of applications like model-predictive control, where rapid and reliable…

Optimization and Control · Mathematics 2024-04-29 Dennis Michael Nenno , Adrian Caspari

Quantum annealing (QA) is a heuristic search algorithm that can run on Adiabatic Quantum Computation (AQC) processors to solve combinatorial optimization problems. Although theoretical studies and simulations on classic hardware have shown…

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

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

This paper explores the potential application of Deep Reinforcement Learning in the furniture industry. To offer a broad product portfolio, most furniture manufacturers are organized as a job shop, which ultimately results in the Job Shop…

Artificial Intelligence · Computer Science 2024-09-19 Malte Schneevogt , Karsten Binninger , Noah Klarmann

A challenge for scalability of demand-responsive, elastic optical Dense Wavelength Division Multiplexing (DWDM) and Flexgrid networks is the computational complexity of allocating many optical routes on large networks. We demonstrate that…

Networking and Internet Architecture · Computer Science 2024-02-13 Ethan Davies , Darren Banfield , Vlad Carare , Ben Weaver , Catherine White , Nigel Walker
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