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Quantum-classical hybrid algorithm using quantum annealing for multi-objective job shop scheduling

Kenta Sawamura, Kensuke Araki, Naoki Maruyama, Renichiro Haba, Masayuki Ohzeki
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⚡ Quantum Brief
Japanese researchers developed a quantum-classical hybrid algorithm to optimize multi-objective job shop scheduling, addressing longstanding industrial inefficiencies in production planning. The method splits complex scheduling into two phases: quantum annealing handles resource allocation via quadratic unconstrained binary optimization, while classical solvers manage task sequencing through mixed-integer linear programming. Benchmark tests using foundry production scenarios proved the hybrid approach outperforms traditional monolithic methods in both solution quality and computational speed, particularly for large-scale problems. The algorithm excels at navigating conflicting objectives (e.g., minimizing lead time vs. maximizing resource use), avoiding limitations of scalarization techniques that fail to identify diverse Pareto-optimal solutions. This work signals a practical advance for quantum-enhanced industrial optimization, offering manufacturers a faster, more adaptable framework for real-world production challenges.
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Quantum Physics arXiv:2511.03257 (quant-ph) [Submitted on 5 Nov 2025] Title:Quantum-classical hybrid algorithm using quantum annealing for multi-objective job shop scheduling Authors:Kenta Sawamura, Kensuke Araki, Naoki Maruyama, Renichiro Haba, Masayuki Ohzeki View a PDF of the paper titled Quantum-classical hybrid algorithm using quantum annealing for multi-objective job shop scheduling, by Kenta Sawamura and 4 other authors View PDF HTML (experimental) Abstract: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 problems, have been applied to automate this process, solving large-scale production planning problems remains computationally demanding. Moreover, many practical scenarios involve conflicting objectives, making traditional scalarization techniques ineffective in finding diverse and useful Pareto-optimal solutions. To address these challenges, we developed a quantum-classical hybrid algorithm that decomposes the problem into two subproblems: resource allocation and task scheduling. Resource allocation is formulated as a quadratic unconstrained binary optimization problem and solved using annealing-based methods that efficiently explore complex solutions. Task scheduling is modeled as a mixed-integer linear programming problem and solved using conventional solvers to satisfy detailed scheduling constraints. We validated the proposed method using benchmark instances based on foundry production scenarios. Experimental results demonstrate that our hybrid approach achieves superior solution quality and computational efficiency compared to traditional monolithic methods. This work offers a promising direction for high-speed, multi-objective scheduling in industrial applications. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2511.03257 [quant-ph] (or arXiv:2511.03257v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.03257 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Kensuke Araki [view email] [v1] Wed, 5 Nov 2025 07:39:09 UTC (1,004 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum-classical hybrid algorithm using quantum annealing for multi-objective job shop scheduling, by Kenta Sawamura and 4 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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