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We consider electricity capacity expansion models, which optimize investment and retirement decisions by minimizing both investment and operation costs. In order to provide credible support for planning and policy decisions, these models…

Optimization and Control · Mathematics 2025-01-08 Filippo Pecci , Jesse D. Jenkins

Decarbonisation is driving dramatic growth in renewable power generation. This increases uncertainty in the load to be served by power plants and makes their efficient scheduling, known as the unit commitment (UC) problem, more difficult.…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Cormac O'Malley , Patrick de Mars , Luis Badesa , Goran Strbac

Co-design plays a pivotal role in energy system planning as it allows for the holistic optimization of interconnected components, fostering efficiency, resilience, and sustainability by addressing complex interdependencies and trade-offs…

Systems and Control · Electrical Eng. & Systems 2024-08-22 Rounak Meyur , Tonya Martin , Sumit Purohit

Network topology has significant impacts on operational performance of power systems. While extensive research efforts have been devoted to optimization of network topology for improving various system performances, the problem of how to…

Systems and Control · Electrical Eng. & Systems 2022-08-23 Tong Han , David J. Hill , Yue Song

Energy systems optimization problems are complex due to strongly non-linear system behavior and multiple competing objectives, e.g. economic gain vs. environmental impact. Moreover, a large number of input variables and different variable…

In this paper, we consider the canonical water network design problem, which contains nonconvex potential loss functions and discrete resistance choices with varying costs. Traditionally, to resolve the nonconvexities of this problem,…

Optimization and Control · Mathematics 2020-10-08 Byron Tasseff , Russell Bent , Marina A. Epelman , Donatella Pasqualini , Pascal Van Hentenryck

Designing networks with specified collective properties is useful in a variety of application areas, enabling the study of how given properties affect the behavior of network models, the downscaling of empirical networks to workable sizes,…

Optimization and Control · Mathematics 2017-06-20 Chrysanthos E. Gounaris , Karthikeyan Rajendran , Ioannis G. Kevrekidis , Christodoulos A. Floudas

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-02 Junyao Guo , Gabriela Hug , Ozan Tonguz

We propose a novel edge computing network architecture that enables edge nodes to cooperate in sharing computing and radio resources to minimize the total energy consumption of mobile users while meeting their delay requirements. To find…

Networking and Internet Architecture · Computer Science 2019-06-11 Thai T. Vu , Nguyen Van Huynh , Dinh Thai Hoang , Diep N. Nguyen , Eryk Dutkiewicz

This paper surveys the trend of leveraging machine learning to solve mixed integer programming (MIP) problems. Theoretically, MIP is an NP-hard problem, and most of the combinatorial optimization (CO) problems can be formulated as the MIP.…

Artificial Intelligence · Computer Science 2022-03-08 Jiayi Zhang , Chang Liu , Junchi Yan , Xijun Li , Hui-Ling Zhen , Mingxuan Yuan

The interpretability of models has become a crucial issue in Machine Learning because of algorithmic decisions' growing impact on real-world applications. Tree ensemble methods, such as Random Forests or XgBoost, are powerful learning tools…

Optimization and Control · Mathematics 2024-01-19 Giulia Di Teodoro , Marta Monaci , Laura Palagi

Incorporating energy storage systems (ESS) into power systems has been studied in many recent works, where binary variables are often introduced to model the complementary nature of battery charging and discharging. A conventional approach…

Optimization and Control · Mathematics 2025-01-13 Dahye Han , Nan Jiang , Santanu S. Dey , Weijun Xie

This paper presents a novel approach to the joint optimization of job scheduling and data allocation in grid computing environments. We formulate this joint optimization problem as a mixed integer quadratically constrained program. To…

Designing reliable integrated energy systems for industrial processes requires optimization and verification models across multiple fidelities, from architecture-level sizing to high-fidelity dynamic operation. However, model mismatch…

Machine Learning · Computer Science 2026-04-03 Oluwamayowa O. Amusat , Luka Grbcic , Remi Patureau , M. Jibran S. Zuberi , Dan Gunter , Michael Wetter

It is well-known that by adding integrality constraints to the semidefinite programming (SDP) relaxation of the max-cut problem, the resulting integer semidefinite program is an exact formulation of the problem. In this paper we show…

Optimization and Control · Mathematics 2023-11-09 Frank de Meijer , Renata Sotirov

This work formulates the machine learning mechanism as a bi-level optimization problem. The inner level optimization loop entails minimizing a properly chosen loss function evaluated on the training data. This is nothing but the…

Machine Learning · Computer Science 2023-01-27 Maziar Raissi

Integrating the gas and district heating with the electrical grid in a multi-energy grid has been shown to provide flexibility and prevent bottlenecks in the operation of electrical distribution grids. This integration assumes a top-down…

Systems and Control · Electrical Eng. & Systems 2024-11-28 Marwan Mostafa , Davood Babazadeh , Christian Becker

This paper considers the fundamental power allocation problem in cell-free massive mutiple-input and multiple-output (MIMO) systems which aims at maximizing the total energy efficiency (EE) under a sum power constraint at each access point…

Information Theory · Computer Science 2022-01-21 Trang C. Mai , Hien Quoc Ngo , Le-Nam Tran

This paper proposes a Heaviside composite optimization approach and presents a progressive (mixed) integer programming (PIP) method for solving multi-class classification and multi-action treatment problems with constraints. A Heaviside…

Optimization and Control · Mathematics 2024-01-08 Yue Fang , Junyi Liu , Jong-Shi Pang

The high computational complexity and energy consumption of artificial intelligence (AI) algorithms hinder their application in augmented reality (AR) systems. However, mobile edge computing (MEC) makes it possible to solve this problem.…

Networking and Internet Architecture · Computer Science 2023-01-04 Guangjin Pan , Heng Zhang , Shugong Xu , Shunqing Zhang , Xiaojing Chen
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