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Solving problems related to planning and operations of large-scale power systems is challenging on classical computers due to their inherent nature as mixed-integer and nonlinear problems. Quantum computing provides new avenues to approach…

Quantum Physics · Physics 2025-05-02 Willie Aboumrad , Phani R V Marthi , Suman Debnath , Martin Roetteler , Evgeny Epifanovsky

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

The recent advent of commercially available quantum annealing hardware (QAH) has expanded opportunities for research into quantum annealing-based algorithms. In the domain of power systems, this advancement has driven increased interest in…

Optimization and Control · Mathematics 2025-03-26 Rosemary Barrass , Harsha Nagarajan , Carleton Coffrin

During recent years, quantum computers have received increasing attention, primarily due to their ability to significantly increase computational performance for specific problems. Computational performance could be improved for…

Quantum Physics · Physics 2024-11-12 Ludger Leenders , Martin Sollich , Christiane Reinert , André Bardow

Mixed-integer linear programming problems are extensively used in industry for a wide range of optimization tasks. However, as they get larger, they present computational challenges for classical solvers within practical time limits.…

Quantum Physics · Physics 2026-01-21 Sergio López-Baños , Elisabeth Lobe , Ontje Lünsdorf , Oriol Raventós

Leveraging the current generation of quantum devices to solve optimization problems of practical interest necessitates the development of hybrid quantum-classical (HQC) solution approaches. In this paper, a multi-cut Benders decomposition…

Quantum Physics · Physics 2023-02-14 Nikolaos G. Paterakis

The optimization of front-end crude oil scheduling is a critical determinant of refinery profitability and operational stability. However, the coupling of discrete logistics events (e.g., vessel berthing) with continuous material flows…

Quantum Physics · Physics 2026-04-30 Jian Yang , Bohang Wang , Lina Wang , Jiacheng Chen , Gaoxiang Tang , Zihan Deng , Wending Zhao , Xianfeng Cai

Unit Commitment (UC) is a core optimization problem in power system operation and electricity market scheduling. It determines the optimal on/off status and dispatch of generating units while satisfying system, operational, and market…

Quantum Physics · Physics 2026-01-06 Milad Hasanzadeh , Ali Rajabi , Amin Kargarian

This paper proposes a hybrid quantum-classical algorithm to solve a fundamental power system problem called unit commitment (UC). The UC problem is decomposed into a quadratic subproblem, a quadratic unconstrained binary optimization (QUBO)…

Quantum Physics · Physics 2022-04-19 Reza Mahroo , Amin Kargarian

Quantum computing is emerging as a new computing resource that could be superior to conventional computing for certain classes of optimization problems. However, in principle, most existing approaches to quantum optimization are intended to…

Optimization and Control · Mathematics 2022-01-21 Chin-Yao Chang , Eric Jones , Yiyun Yao , Peter Graf , Rishabh Jain

The Benders' decomposition algorithm is a technique in mathematical programming for complex mixed-integer linear programming (MILP) problems with a particular block structure. The strategy of Benders' decomposition can be described as a…

Optimization and Control · Mathematics 2021-12-16 Zhongqi Zhao , Lei Fan , Zhu Han

We suggest a hybrid quantum-classical routine for the NP-hard Electric Vehicle Fleet Charging and Allocation Problem. The original formulation is a Mixed Integer Linear Program with continuous variables and inequality constraints. To…

Unit commitment is an important optimization problem in power system operations, classified as NP-hard. This paper presents a hybrid quantum-classical method for the unit commitment problem with time-dependent constraints, where decisions…

Quantum Physics · Physics 2026-05-19 Kien X. Nguyen , Ilya Safro , Xiaoyuan Liu

The unit commitment (UC) problem stands as a critical optimization challenge in the electrical power industry. It is classified as NP-hard, placing it among the most intractable problems to solve. This paper introduces a novel hybrid…

Quantum Physics · Physics 2024-12-17 Bruna Salgado , André Sequeira , Luis Paulo Santos

This work is a benchmark study for quantum-classical computing method with a real-world optimization problem from industry. The problem involves scheduling and balancing jobs on different machines, with a non-linear objective function. We…

Quantum Physics · Physics 2024-08-06 Abhishek Awasthi , Nico Kraus , Florian Krellner , David Zambrano

This paper presents key enhancements to our previous work~\cite{naghmouchi2024mixed} on a hybrid Benders decomposition (HBD) framework for solving mixed integer linear programs (MILPs). In our approach, the master problem is reformulated as…

Quantum Physics · Physics 2026-01-23 Anna Joliot , M. Yassine Naghmouchi , Wesley Coelho

A series of hybrid quantum-classical generalized Benders decomposition (GBD) algorithms are proposed to address unit commitment (UC) problems under centralized, distributed, and partially distributed frameworks. In the centralized approach,…

Quantum Physics · Physics 2024-12-17 Fang Gao , Dejian Huang , Ziwei Zhao , Wei Dai , Mingyu Yang , Qing Gao , Yu Pan

Stochastic Unit Commitment (SUC) has been proposed to manage the uncertainties driven by renewable integration, but it leads to significant computational complexity. When accelerated by Benders Decomposition (BD), the master problem becomes…

Quantum Physics · Physics 2026-02-25 Wei Hong , Wangkun Xu , Fei Teng

Mixed Integer Linear Programming (MILP) can be considered the backbone of the modern power system optimization process, with a large application spectrum, from Unit Commitment and Optimal Transmission Switching to verifying Neural Networks…

Quantum Physics · Physics 2024-04-17 Petros Ellinas , Samuel Chevalier , Spyros Chatzivasileiadis

Quantum computing (QC) has gained popularity due to its unique capabilities that are quite different from that of classical computers in terms of speed and methods of operations. This paper proposes hybrid models and methods that…

Quantum Physics · Physics 2019-11-12 Akshay Ajagekar , Travis Humble , Fengqi You
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