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Related papers: Chance-Constrained Two-Stage Unit Commitment under…

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We consider chance-constrained binary programs, where each row of the inequalities that involve uncertainty needs to be satisfied probabilistically. Only the information of the mean and covariance matrix is available, and we solve…

Optimization and Control · Mathematics 2020-03-24 Yiling Zhang , Ruiwei Jiang , Siqian Shen

Biclustering, also called co-clustering, block clustering, or two-way clustering, involves the simultaneous clustering of both the rows and columns of a data matrix into distinct groups, such that the rows and columns within a group display…

Optimization and Control · Mathematics 2024-12-06 Antonio M. Sudoso

Bipartite ranking is a fundamental machine learning and data mining problem. It commonly concerns the maximization of the AUC metric. Recently, a number of studies have proposed online bipartite ranking algorithms to learn from massive…

Machine Learning · Computer Science 2019-03-12 Majdi Khalid , Indrakshi Ray , Hamidreza Chitsaz

This paper proposes a unit commitment (UC) model based on data-driven Wasserstein distributionally robust optimization (WDRO) for power systems under uncertainty of renewable generation as well as its tractable exact reformulation. The…

Systems and Control · Electrical Eng. & Systems 2022-08-17 Youngchae Cho , Insoon Yang

This letter presents a corrective frequency-constrained UC (C-FCUC) for island power systems implementing analytical constraints on underfrequency load shedding (UFLS). Since UFLS is inevitable for sufficiently large disturbances, one can…

Systems and Control · Electrical Eng. & Systems 2023-04-12 Almudena Rouco , Mohammad Rajabdorri , Lukas Sigrist , Enrique Lobato , Ignacio Egido

The unit commitment with transmission constraints in the alternating-current (AC) model is a challenging mixed-integer non-linear optimisation problem. We present an approach based on decomposition of a Mixed-Integer Semidefinite…

Optimization and Control · Mathematics 2018-06-26 Claudio Gambella , Jakub Marecek , Martin Mevissen , Jose Maria Fernandez Ortega , Sara Pezic Djukic , Mustafa Pezic

This paper presents a mixed-integer linear programming formulation for the multi-mode resource-constrained project scheduling problem with uncertain activity durations. We consider a two-stage robust optimisation approach and find solutions…

Optimization and Control · Mathematics 2022-03-15 Matthew Bold , Marc Goerigk

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

Chance-constrained programming is a widely used framework for decision-making under uncertainty, yet its mixed-integer reformulations involve nonconvex mixing sets with a knapsack constraint, leading to weak relaxations and computational…

Optimization and Control · Mathematics 2025-10-22 Danial Davarnia , Hamed Rahimian

To take unit commitment (UC) decisions under uncertain net load, most studies utilize a stochastic UC (SUC) model that adopts a one-size-fits-all representation of uncertainty. Disregarding contextual information such as weather forecasts…

Optimization and Control · Mathematics 2022-12-01 Ogun Yurdakul , Feng Qiu , Sahin Albayrak

This paper examines Mixed-Integer Multi-Level problems with Sequential Followers (MIMLSF), a specialized optimization model aimed at enhancing upper-level decision-making by incorporating anticipated outcomes from lower-level sequential…

Optimization and Control · Mathematics 2025-02-28 Yuxin Xia , Iacopo Savelli , Thomas Morstyn

This paper proposes a global optimization method for it ensures finding good solutions while solving the unit commitment (UC) problem with carbon emission trading (CET). This method con-sists of two parts. In the first part, a sequence of…

Optimization and Control · Mathematics 2019-08-28 Linfeng Yang , Wei Li , Guo Chen , Beihua Fang , Chunming Tang , Zhaoyang Dong

Modern network-constrained unit commitment (NCUC) bears a heavy computational burden due to the ever-growing model scale. This situation becomes more challenging when detailed operational characteristics, complicated constraints, and…

Systems and Control · Electrical Eng. & Systems 2024-04-09 Zekuan Yu , Haiwang Zhong , Guangchun Ruan , Xinfei Yan

Uncertainty modeling has become increasingly important in power system decision-making. The widely-used tractable uncertainty modeling method-chance constraints with Conditional Value at Risk (CVaR) approximation, can be overconservative…

Optimization and Control · Mathematics 2024-07-02 Yilin Wen , Yi Guo , Zechun Hu , Gabriela Hug

To mitigate the vulnerability of distribution grids to severe weather events, some electric utilities use preemptive de-energization as the primary line of defense, causing significant power outages. In such instances, networked microgrids…

Optimization and Control · Mathematics 2024-04-05 Hannah Moring , Harsha Nagarajan , Kshitij Girigoudar , David M. Fobes , Johanna L. Mathieu

Time-adaptive unit commitment (UC) has recently been investigated to reduce the scheduling costs by flexibly varying the temporal resolution, which is usually determined by clustering the net load patterns. However, there exists a…

Systems and Control · Electrical Eng. & Systems 2025-06-04 Junyi Tao , Ran Li , Salvador Pineda

Chance-constrained optimization (CCO) has been widely used for uncertainty management in power system operation. With the prevalence of wind energy, it becomes possible to consider the wind curtailment as a dispatch variable in CCO.…

Systems and Control · Electrical Eng. & Systems 2023-04-06 Xingyu Lei , Zhifang Yang , Junbo Zhao , Juan Yu

Mixed integer sets have a strong modeling capacity to describe practical systems. Nevertheless, incorporating a mixed integer set often renders an optimization formulation drastically more challenging to compute. In this paper, we study how…

Optimization and Control · Mathematics 2023-12-22 Wei Wang , Bo Zeng

A popular approach in combinatorial optimization is to model problems as integer linear programs. Ideally, the relaxed linear program would have only integer solutions, which happens for instance when the constraint matrix is totally…

Data Structures and Algorithms · Computer Science 2009-09-29 Christoph Durr , Mathilde Hurand

Disruptions are inevitable during airline operations, and disruptions cost airlines and the traveling public. Disruption recovery decisions are often made in a sequential process that includes flight rescheduling, aircraft rerouting, crew…

Optimization and Control · Mathematics 2025-09-03 Jianlin Jiang , Jiajin Lin , Yan Gu , Yibing Lv , Cheng-Lung Wu