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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…

最优化与控制 · 数学 2025-01-08 Anna Jacobson , Filippo Pecci , Nestor Sepulveda , Qingyu Xu , Jesse Jenkins

With the addition of large numbers of distributed energy resources (DERs) to distribution networks comes the increasing risk that their operation may violate the safety constraints of these networks. The problem considered in this paper is…

最优化与控制 · 数学 2026-05-11 Robert Steven , Oleksiy V. Klymenko , Michael Short

In this paper, we develop a novel staggered mesh (SM) approach for general nonlinear dissipative systems with arbitrary energy distributions (including cases with known or unknown energy lower bounds). Based on this framework, we propose…

数值分析 · 数学 2025-03-17 Zhengguang Liu , Nan Zheng , Xiaoli Li

We present a new method that efficiently solves TO problems and provides a practical pathway to leverage quantum computing to exploit potential quantum advantages. This work targets on large-scale, multi-material TO challenges for…

计算物理 · 物理学 2026-01-16 Zisheng Ye , Wenxiao Pan

With proliferation of fifth generation (5G) new radio (NR) technology, it is expected to meet the requirement of diverse traffic demands. We have designed a coordinated multi-point (CoMP) enhanced flexible multi-numerology (MN) for 5G-NR…

网络与互联网体系结构 · 计算机科学 2023-03-30 Li-Hsiang Shen , Chia-Yu Su , Kai-Ten Feng

In this paper, we present decomposition techniques for solving large-scale instances of the security-constrained optimal power flow (SCOPF) problem with primary response. Specifically, under each contingency state, we require that the nodal…

最优化与控制 · 数学 2019-10-10 Alexandre Velloso , Pascal Van Hentenryck , Emma S. Johnson

This paper considers the clustering problem for large data sets. We propose an approach based on distributed optimization. The clustering problem is formulated as an optimization problem of maximizing the classification gain. We show that…

机器学习 · 计算机科学 2010-12-10 Xudong Ma

Dantzig-Wolfe (DW) decomposition is a well-known technique in mixed-integer programming (MIP) for decomposing and convexifying constraints to obtain potentially strong dual bounds. We investigate cutting planes that can be derived using the…

最优化与控制 · 数学 2023-10-09 Rui Chen , Oktay Gunluk , Andrea Lodi

We consider a microgrid where different prosumers exchange energy altogether by the edges of a given network. Each prosumer is located to a node of the network and encompasses energy consumption, energy production and storage capacities…

最优化与控制 · 数学 2019-12-24 Pierre Carpentier , Jean-Philippe Chancelier , Michel de Lara , François Pacaud

Power distribution networks, especially in North America, are often unbalanced but are designed to keep unbalance levels within the limits specified by IEEE, IEC, and NEMA standards. However, rapid integration of unbalanced devices, such as…

系统与控制 · 电气工程与系统科学 2025-01-14 Rahul K. Gupta , Daniel K. Molzahn

The optimal selection, sizing, and location of small-scale technologies within a grid-connected distributed energy system (DES) can contribute to reducing carbon emissions, consumer costs, and network imbalances. This is the first study to…

最优化与控制 · 数学 2022-09-30 Ishanki De Mel , Oleksiy V. Klymenko , Michael Short

This study introduces a mixed-integer linear programming (MILP) model, effectively co-optimizing patrolling, damage assessment, fault isolation, repair, and load re-energization processes. The model is designed to solve a vital operational…

系统与控制 · 电气工程与系统科学 2024-01-12 Ali Jalilian , Babak Taheri , Daniel K. Molzahn

The presented work addresses two-stage stochastic programs (2SPs), a broadly applicable model to capture optimization problems subject to uncertain parameters with adjustable decision variables. In case the adjustable or second-stage…

最优化与控制 · 数学 2023-07-21 Jan Kronqvist , Boda Li , Jan Rolfes , Shudian Zhao

The development of deep neural networks is witnessing fast growth in network size, which requires novel hardware computing platforms with large bandwidth and low energy consumption. Optical computing has been a potential candidate for…

光学 · 物理学 2024-11-26 Zhetao Jia , Hector Rubio , Lilian Neim , Jagang Park , Stefan Preble , Boubacar Kanté

We present an overlapping Schwarz decomposition algorithm for constrained quadratic programs (QPs). Schwarz algorithms have been traditionally used to solve linear algebra systems arising from partial differential equations, but we have…

最优化与控制 · 数学 2021-02-17 Sungho Shin , Mihai Anitescu , Victor M. Zavala

We present a distributed anytime algorithm for performing MAP inference in graphical models. The problem is formulated as a linear programming relaxation over the edges of a graph. The resulting program has a constraint structure that…

人工智能 · 计算机科学 2012-02-20 Joop van de Ven , Fabio Ramos

Recent studies have shown that multi-step optimization based on Model Predictive Control (MPC) can effectively coordinate the increasing number of distributed renewable energy and storage resources in the power system. However, the…

分布式、并行与集群计算 · 计算机科学 2016-06-02 Junyao Guo , Gabriela Hug , Ozan Tonguz

Stochastic programming provides a natural framework for modeling sequential optimization problems under uncertainty; however, the efficient solution of large-scale multistage stochastic programs remains a challenge, especially in the…

最优化与控制 · 数学 2025-03-11 Tushar Rathi , Benjamin P. Riley , Angela Flores-Quiroz , Qi Zhang

Force-gradient decomposition methods are used to improve the energy preservation of symplectic schemes applied to Hamiltonian systems. If the potential is composed of different parts with strongly varying dynamics, this multirate potential…

数值分析 · 数学 2013-12-12 Dmitry Shcherbakov , Matthias Ehrhardt , Michael Günther , Michael Peardon

This paper deals with a distributed Mixed-Integer Linear Programming (MILP) set-up arising in several control applications. Agents of a network aim to minimize the sum of local linear cost functions subject to both individual constraints…

最优化与控制 · 数学 2021-02-12 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano