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Mixed-Integer Linear Programming (MILP) is a foundational tool for complex decision-making problems. However, the NP-hard nature of MILP presents a significant computational challenge, motivating the development of machine learning-based…

Optimization and Control · Mathematics 2026-03-03 Hongpei Li , Hui Yuan , Han Zhang , Jianghao Lin , Dongdong Ge , Mengdi Wang , Yinyu Ye

The computational complexity of calculating phase diagrams for multi-parameter models significantly limits the ability to select parameters that correspond to experimental data. This work presents a machine learning method for solving the…

Computational Physics · Physics 2026-05-01 V. A. Ulitko , D. N. Yasinskaya , S. A. Bezzubin , A. A. Koshelev , Y. D. Panov

Due to the restricted resources, efficient scheduling in vertiports has received much more attention in the field of Urban Air Mobility (UAM). For the scheduling problem, we utilize a Mixed Integer Linear Programming (MILP), which is often…

Artificial Intelligence · Computer Science 2025-12-18 Jeongseok Kim , Kangjin Kim

The Unit Commitment (UC) problem is a key optimization task in power systems to forecast the generation schedules of power units over a finite time period by minimizing costs while meeting demand and technical constraints. However, many…

Machine Learning · Computer Science 2024-10-08 Matthias Pirlet , Adrien Bolland , Gilles Louppe , Damien Ernst

Inland waterway transportation network significantly supports the overall freight transportation of the nation. In order to ensure efficient and timely commodity transportation through this network, this study aims at developing a reliable…

Systems and Control · Electrical Eng. & Systems 2021-01-26 Amin Aghalari , Farjana Nur , Mohammad Marufuzzaman , Stephen M. Puryear

Energy systems planning models identify least-cost strategies for expansion and operation of energy systems and provide decision support for investment, planning, regulation, and policy. Most are formulated as linear programming (LP) or…

Optimization and Control · Mathematics 2025-01-08 Anna Jacobson , Filippo Pecci , Nestor Sepulveda , Qingyu Xu , Jesse Jenkins

Investigation of energy systems integrated with green chemical conversion, and in particular combi-nation of green hydrogen and synthetic methanation, is still a scarce subject in the literature in terms of optimal design and operation for…

Optimization and Control · Mathematics 2022-06-24 Su Tatar , Handan Akulker , Hasan Sildir , Erdal Aydin

Enhancing existing transmission lines is a useful tool to combat transmission congestion and guarantee transmission security with increasing demand and boosting the renewable energy source. This study concerns the selection of lines whose…

Optimization and Control · Mathematics 2022-07-20 Jian Liu , Rui Bo , Siyuan Wang

Security-Constrained Unit Commitment is a fundamental optimization problem in power systems operations. The primary computational bottleneck arises from the need to solve large-scale Linear Programming (LP) relaxations within…

Optimization and Control · Mathematics 2025-10-14 Jinxin Xiong , Yanting Huang , Yingxiao Wang , Linxin Yang , Jianghua Wu , Shunbo Lei , Akang Wang

The need to decarbonize the energy system has intensified the focus on district heating networks in urban and suburban areas. Therefore, exploring transformation pathways with reasonable trade-offs between economic viability and…

Optimization and Control · Mathematics 2025-08-14 Stephanie Riedmüller , Fabian Rivetta , Janina Zittel

Security-Constrained Unit Commitment (SCUC) is a fundamental problem in power systems and electricity markets. In practical settings, SCUC is repeatedly solved via Mixed-Integer Linear Programming, sometimes multiple times per day, with…

Optimization and Control · Mathematics 2019-12-19 Alinson S. Xavier , Feng Qiu , Shabbir Ahmed

Mixed Integer Linear Programs (MILPs) are highly flexible and powerful tools for modeling and solving complex real-world combinatorial optimization problems. Recently, machine learning (ML)-guided approaches have demonstrated significant…

Artificial Intelligence · Computer Science 2025-06-13 Junyang Cai , Taoan Huang , Bistra Dilkina

A well-performing prediction model is vital for a recommendation system suggesting actions for energy-efficient consumer behavior. However, reliable and accurate predictions depend on informative features and a suitable model design to…

Machine Learning · Computer Science 2022-12-20 Alona Zharova , Antonia Scherz

The dynamic response of power grids to small transient events or persistent stochastic disturbances influences their stable operation. This paper studies the effect of topology on the linear time-invariant dynamics of power networks. For a…

Optimization and Control · Mathematics 2019-03-21 Siddharth Bhela , Deepjyoti Deka , Harsha Nagarajan , Vassilis Kekatos

Nonlinear power flow constraints render a variety of power system optimization problems computationally intractable. Emerging research shows, however, that the nonlinear AC power flow equations can be successfully modeled using Neural…

Machine Learning · Computer Science 2021-11-01 Alyssa Kody , Samuel Chevalier , Spyros Chatzivasileiadis , Daniel Molzahn

Designing faster algorithms for solving Mixed-Integer Linear Programming (MILP) problems is highly desired across numerous practical domains, as a vast array of complex real-world challenges can be effectively modeled as MILP formulations.…

Artificial Intelligence · Computer Science 2026-01-23 Ruizhi Liu , Liming Xu , Xulin Huang , Jingyan Sui , Shizhe Ding , Boyang Xia , Chungong Yu , Dongbo Bu

By modeling the uncertainty of spinning reserves provided by energy storage with probabilistic constraints, a new optimal scheduling mode is proposed for minimizing the operating costs of an isolated microgrid (MG) by using…

Signal Processing · Electrical Eng. & Systems 2018-10-04 Yang Li , Zhen Yang , Guoqing Li , Dongbo Zhao , Wei Tian

Machine-learned interatomic potentials (MILPs) are rapidly gaining interest for molecular modeling, as they provide a balance between quantum-mechanical level descriptions of atomic interactions and reasonable computational efficiency.…

Computational Physics · Physics 2024-08-30 Gustavo R. Pérez-Lemus , Yinan Xu , Yezhi Jin , Pablo F. Zubieta Rico , Juan J. de Pablo

Power systems Unit Commitment (UC) problem determines the generator commitment schedule and dispatch decisions to realize the reliable and economic operation of power networks. The growing penetration of stochastic renewables and demand…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Xuan He , Yuxin Pan , Yize Chen , Danny H. K. Tsang

With increased reliance on cyber infrastructure, large scale power networks face new challenges owing to computational scalability. In this paper we focus on developing an asynchronous decentralized solution framework for the Unit…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-15 Paritosh Ramanan , Murat Yildirim , Edmond Chow , Nagi Gebraeel