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Considering a graph with unknown weights, can we find the shortest path for a pair of nodes if we know the minimal Steiner trees associated with some subset of nodes? That is, with respect to a fixed latent decision-making system (e.g., a…

Machine Learning · Computer Science 2024-02-06 Guangmo Tong , Peng Zhao , Mina Samizadeh

We present an application of multi-mesh finite element methods as part of a methodology for optimizing settlement layouts. By formulating a multi-objective optimization problem, we demonstrate how a given number of buildings may be…

Computational Engineering, Finance, and Science · Computer Science 2023-01-31 Anders Logg , Christian Valdemar Lorenzen , Carl Lundholm

The Electric Vehicle Routing Problem with Time Windows and Station-based or Route-based Charging Options addresses fleet optimization incorporating both conventional charging stations and continuous wireless charging infrastructure. This…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Tran Trung Duc , Vu Duc Minh , Nguyen Ngoc Doanh , Pham Gia Nguyen , Laurent El Ghaoui , Ha Minh Hoang

Increasing penetration of wind and renewable generation poses significant challenges to the power system operations and reliability. This paper considers the real-time optimal transmission switching (OTS) problem for determining the…

Optimization and Control · Mathematics 2020-02-05 Yuqi Zhou , Hao Zhu , Grani A. Hanasusanto

Determination of the most economic strategies for supply and transmission of electricity is a daunting computational challenge. Due to theoretical barriers, so-called NP-hardness, the amount of effort to optimize the schedule of generating…

Optimization and Control · Mathematics 2017-07-13 Ramtin Madani , Alper Atamturk , Ali Davoudi

We present a set of integer programs (IPs) for the Steiner tree problem with the property that the best solution obtained by solving all, provides an optimal Steiner tree. Each IP is polynomial in the size of the underlying graph and our…

Combinatorics · Mathematics 2020-02-11 Matias Siebert , Shabbir Ahmed , George Nemhauser

This study aims to develop a cost-effective microgrid design that optimally balances the economic feasibility, reliability, efficiency, and environmental impact in a grid-tied community microgrid. A multi-objective optimization framework is…

Systems and Control · Electrical Eng. & Systems 2025-03-17 Moslem Uddin , Huadong Mo , Daoyi Dong

We study the query complexity of the metric Steiner Tree problem, where we are given an $n \times n$ metric on a set $V$ of vertices along with a set $T \subseteq V$ of $k$ terminals, and the goal is to find a tree of minimum cost that…

Data Structures and Algorithms · Computer Science 2024-11-11 Yu Chen , Sanjeev Khanna , Zihan Tan

One of the key problems in tensor network based quantum circuit simulation is the construction of a contraction tree which minimizes the cost of the simulation, where the cost can be expressed in the number of operations as a proxy for the…

Quantum Physics · Physics 2022-09-08 Cameron Ibrahim , Danylo Lykov , Zichang He , Yuri Alexeev , Ilya Safro

Intermittent renewable energy resources like wind and solar pose great uncertainty of multiple time scales, from minutes to years, on the design and operation of power systems. Energy system optimization models have been developed to find…

Optimization and Control · Mathematics 2022-04-27 Yuheng Zhang , Vivian Cheng , Dharik S. Mallapragada , Jie Song , Guannan He

We analyze a new general representation for the Minimum Weight Steiner Tree (MST) problem which translates the topological connectivity constraint into a set of local conditions which can be analyzed by the so called cavity equations…

Statistical Mechanics · Physics 2009-01-14 M. Bayati , A. Braunstein , R. Zecchina

The increasing integration of Inverter-Based Resources (IBRs) is reshaping fault current characteristics, presenting significant challenges to traditional protection and fault location methods. This paper addresses a key limitation in fault…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Alailton J. Alves Junior , Daniel Barbosa , Ricardo A. S. Fernandes , Denis V. Coury

Cable trees are used in industrial products to transmit energy and information between different product parts. To this date, they are mostly assembled by humans and only few automated manufacturing solutions exist using complex robotic…

The integration of large shares of wind and solar power into the power system benefits from transmission network expansion. However, the construction of new power lines requires long planning phases and is often delayed by citizen protests.…

Physics and Society · Physics 2026-03-18 Philipp Glaum , Fabian Hofmann

The Gilbert-Steiner problem is a mass transportation problem, where the cost of the transportation depends on the network used to move the mass and it is proportional to a certain power of the "flow". In this paper, we introduce a new…

Optimization and Control · Mathematics 2014-08-12 Andrea Marchese , Annalisa Massaccesi

This paper presents a novel methodology for detecting faults in wind turbine blades using com-putational learning techniques. The study evaluates two models: the first employs logistic regression, which outperformed neural networks,…

Wind power is one of the most important sources of renewable energy. A large part of the wind energy cost is due to the cost of maintaining the wind power equipment. To further reduce the maintenance cost, one can improve the design of the…

Optimization and Control · Mathematics 2021-05-04 Quanjiang Yu , Ola Carlson , Serik Sagitov

To achieve ambitious greenhouse gas emission reduction targets in time, the planning of future energy systems needs to accommodate societal preferences, e.g. low levels of acceptance for transmission expansion or onshore wind turbines, and…

Physics and Society · Physics 2025-10-30 Fabian Neumann , Tom Brown

A method for inverse design of horizontal axis wind turbines (HAWTs) is presented in this paper. The direct solver for aerodynamic analysis solves the Reynolds Averaged Navier Stokes (RANS) equations, where the effect of the turbine rotor…

Fluid Dynamics · Physics 2017-03-17 Behnam Moghadassian , Anupam Sharma

Efficient order fulfillment is vital in the agricultural industry, particularly due to the seasonal nature of seed supply chains. This paper addresses the challenge of optimizing seed orders fulfillment in a centralized warehouse where…

Artificial Intelligence · Computer Science 2025-10-07 Pranay Thangeda , Hoda Helmi , Melkior Ornik
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