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In this paper we present a formulation of the unit commitment problem with AC power flow constraints. It is solved by a Benders decomposition in which the unit commitment master problem is formulated as a mixed-integer problem with…

Optimization and Control · Mathematics 2020-11-24 M. Paredes , L. S. A. Martins , S. Soares , Hongxing Ye

A code construction and repair scheme for optimal functional regeneration of multiple node failures is presented, which is based on stitching together short MDS codes on carefully chosen sets of points lying on a linearized polynomial. The…

Information Theory · Computer Science 2019-04-17 Nitish Mital , Katina Kralevska , Cong Ling , Deniz Gunduz

The problem of joint power and sub-channel allocation to maximize energy efficiency (EE) and spectral efficiency (SE) simultaneously in in-band full-duplex (IBFD) orthogonal frequency-division multiple access (OFDMA) network is addressed…

Information Theory · Computer Science 2020-03-02 Ata Khalili , Sheyda Zarandi , Mehdi Rasti , Ekram Hossain

We propose a quantum-classical hybrid method for solving large-scale mixed-integer quadratic problems (MIQP). Although extended Benders decomposition is effective for MIQP, its master problem which handles the integer and quadratic…

Quantum Physics · Physics 2026-02-19 Takuma Yoshihara , Masayuki Ohzeki

Coordinate networks like Multiplicative Filter Networks (MFNs) and BACON offer some control over the frequency spectrum used to represent continuous signals such as images or 3D volumes. Yet, they are not readily applicable to problems for…

Computer Vision and Pattern Recognition · Computer Science 2022-10-28 Shayan Shekarforoush , David B. Lindell , David J. Fleet , Marcus A. Brubaker

The optimal power flow (OPF) problem, which plays a central role in operating electrical networks is considered. The problem is nonconvex and is in fact NP hard. Therefore, designing efficient algorithms of practical relevance is crucial,…

Optimization and Control · Mathematics 2014-08-20 S. Magnússon , P. C. Weeraddana , C. Fischione

Bin Packing with Minimum Color Fragmentation (BPMCF) is an extension of the Bin Packing Problem in which each item has a size and a color and the goal is to minimize the sum of the number of bins containing items of each color. In this…

Data Structures and Algorithms · Computer Science 2018-12-04 David Bergman , Carlos Cardonha , Saharnaz Mehrani

Unit Commitment (UC) and Optimal Power Flow (OPF) are two fundamental problems in short-term electric power systems planning that are traditionally solved sequentially. The state-of-the-art mostly uses a direct current flow approximation of…

Optimization and Control · Mathematics 2026-01-22 Deniz Tuncer , Burak Kocuk

We consider a set up where a file of size M is stored in n distributed storage nodes, using an (n,k) minimum storage regenerating (MSR) code, i.e., a maximum distance separable (MDS) code that also allows efficient exact-repair of any…

Information Theory · Computer Science 2010-04-27 Viveck R. Cadambe , Syed A. Jafar , Hamed Maleki

In this paper, we consider the problem of optimally coordinating the response of a group of distributed energy resources (DERs) in distribution systems by solving the so-called optimal power flow (OPF) problem. The OPF problem is concerned…

Systems and Control · Computer Science 2020-05-07 Madi Zholbaryssov , Alejandro D. Dominguez-Garcia

The limitations of centralized optimization methods for power systems operation have led to the distributed computing paradigm, particularly in power distribution systems. The existing techniques reported in recent literature for solving…

Systems and Control · Electrical Eng. & Systems 2020-12-07 Rabayet Sadnan , Anamika Dubey

This paper introduces a novel hybrid optimisation algorithm that combines elements of both metaheuristic search and integer programming. This new matheuristic combines elements of Benders decomposition and the Bees Algorithm, to create the…

Optimization and Control · Mathematics 2019-03-12 Cameron A. G. MacRae , Melih Ozlen , Andreas T. Ernst

The maximum covering location problem (MCLP) is a key problem in facility location, with many applications and variants. One such variant is the dynamic (or multi-period) MCLP, which considers the installation of facilities across multiple…

Optimization and Control · Mathematics 2023-10-27 Steven Lamontagne , Margarida Carvalho , Ribal Atallah

We study joint optimization of service placement, request routing, and CPU sizing in a cooperative MEC system. The problem is considered from the perspective of the service provider (SP), which delivers heterogeneous MEC-enabled…

Networking and Internet Architecture · Computer Science 2024-05-20 Naeimeh Omidvar , Mahdieh Ahmadi , Seyed Mohammad Hosseini

We study the repair problem of distributed storage systems in erasure networks where the packets transmitted from surviving nodes to the new node might be lost. The fundamental storage-bandwidth tradeoff is calculated by multicasting…

Information Theory · Computer Science 2013-01-30 Majid Gerami , Ming Xiao

Benders decomposition is widely used to solve large mixed-integer problems. This paper takes advantage of machine learning and proposes enhanced variants of Benders decomposition for solving two-stage stochastic security-constrained unit…

Optimization and Control · Mathematics 2023-11-21 Fouad Hasan , Amin Kargarian

Second order conic programming (SOCP) has been used to model various applications in power systems, such as operation and expansion planning. In this paper, we present a two-stage stochastic mixed integer SOCP (MISOCP) model for the…

Optimization and Control · Mathematics 2017-04-04 Hossein Haghighat , Bo Zeng

The transmission switching problem aims to determine the optimal network topology that minimizes the operating costs of a power system. This problem is typically formulated as a mixed-integer optimization model, which involves big-M…

Optimization and Control · Mathematics 2025-02-17 Marina Aguilar-Moreno , Salvador Pineda , Juan Miguel Morales

Logic-Based Benders Decomposition (LBBD) and its Branch-and-Cut variant, namely Branch-and-Check, enjoy an extensive applicability on a broad variety of problems, including scheduling. Although LBBD offers problem-specific cuts to impose…

Optimization and Control · Mathematics 2025-04-02 Ioannis Avgerinos , Ioannis Mourtos , Stavros Vatikiotis , Georgios Zois

Convex relaxation methods have been studied and used extensively to obtain an optimal solution to the optimal power flow (OPF) problem. Meanwhile, convex relaxed power flow equations are also prerequisites for efficiently solving a wide…

Systems and Control · Computer Science 2017-10-24 Zhuang Tian , Wenchuan Wu
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