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A classification algorithm, called the Linear Centralization Classifier (LCC), is introduced. The algorithm seeks to find a transformation that best maps instances from the feature space to a space where they concentrate towards the center…

Machine Learning · Computer Science 2017-12-25 Mohammad Reza Bonyadi , Viktor Vegh , David C. Reutens

In this paper, we study the assortment optimization problem under the mixed-logit customer choice model. While assortment optimization has been a major topic in revenue management for decades, the mixed-logit model is considered one of the…

Optimization and Control · Mathematics 2024-07-29 Hoang Giang Pham , Tien Mai

In computational homogenization, a fast solution of the microscopic problem can be achieved by model order reduction in combination with hyper-reduction. Such a technique, which has recently been proposed in the context of magnetostatics,…

Computational Physics · Physics 2025-01-24 Stephan Wulfinghoff , Jan Hauck

This paper presents a novel approach to handle the computational complexity in security-constrained unit commitment (SCUC) with corrective network reconfiguration (CNR) to harness the flexibility in transmission networks. This is achieved…

Optimization and Control · Mathematics 2020-07-21 Arun Venkatesh Ramesh , Xingpeng Li , Kory W. Hedman

In model predictive control (MPC) an optimization problem has to be solved at each time step, which in real-time applications makes it important to solve these optimization problems efficiently and to have good upper bounds on worst-case…

Optimization and Control · Mathematics 2020-04-13 Daniel Arnström , Daniel Axehill

The Security-Constrained Unit Commitment (SCUC) problem presents formidable computational challenges due to its combinatorial complexity, large-scale network dimensions, and numerous security constraints. While conventional temporal…

Optimization and Control · Mathematics 2025-07-29 Jinxin Xiong , Linxin Yang , Yingxiao Wang , Yanting Huang , Jianghua Wu , Shunbo Lei , Akang Wang

The length-constrained cycle partition problem (LCCP) is a graph optimization problem in which a set of nodes must be partitioned into a minimum number of cycles. Every node is associated with a critical time and the length of every cycle…

Optimization and Control · Mathematics 2024-02-05 Mohammed Ghannam , Gioni Mexi , Edward Lam , Ambros Gleixner

The daily operation of real-world power systems and their underlying markets relies on the timely solution of the unit commitment problem. However, given its computational complexity, several optimization-based methods have been proposed to…

Optimization and Control · Mathematics 2023-03-24 Mohamed Awadalla , François Bouffard

The N-1-1 contingency criterion considers the con- secutive loss of two components in a power system, with intervening time for system adjustments. In this paper, we consider the problem of optimizing generation unit commitment (UC) while…

Optimization and Control · Mathematics 2016-04-20 Zhaomiao Guo , Richard Li-Yang Chen , Neng Fan , Jean-Paul Watson

We develop a cut finite element method for a second order elliptic coupled bulk-surface model problem. We prove a priori estimates for the energy and $L^2$ norms of the error. Using stabilization terms we show that the resulting algebraic…

Numerical Analysis · Mathematics 2014-03-27 Erik Burman , Peter Hansbo , Mats G. Larson , Sara Zahedi

This paper proposes a data-driven version of the Benders decomposition algorithm applied to the stochastic unit commitment (SUC) problem. The proposed methodology aims at finding a trade-off between the size of the Benders master problem…

Optimization and Control · Mathematics 2019-12-04 Baudouin Vandenbussche , Stefanos Delikaraoglou , Ignacio Blanco , Gabriela Hug

We develop a mixed-integer nonlinear programming (MINLP) approach for the classical Heilbronn triangle problem, demonstrating the capability of modern global optimization solvers to tackle challenging combinatorial geometry problems. A…

Optimization and Control · Mathematics 2026-05-22 Nathan Sudermann-Merx

Edge service caching can effectively reduce the delay or bandwidth overhead for acquiring and initializing applications. To address single-base station (BS) transmission limitation and serious edge effect in traditional cellular-based edge…

Signal Processing · Electrical Eng. & Systems 2023-02-22 Langtian Qin , Hancheng Lu , Yao Lu , Chenwu Zhang , Feng Wu

According to the structural balance theory, a signed graph is considered structurally balanced when it can be partitioned into a number of modules such that positive and negative edges are respectively located inside and between the…

Optimization and Control · Mathematics 2023-05-18 Nejat Arinik , Vincent Labatut , Rosa Figueiredo

Machine Reassignment is a challenging problem for constraint programming (CP) and mixed-integer linear programming (MILP) approaches, especially given the size of data centres. The multi-objective version of the Machine Reassignment Problem…

Artificial Intelligence · Computer Science 2021-03-19 Takfarinas Saber , Anthony Ventresque , Joao Marques-Silva , James Thorburn , Liam Murphy

Due to a substantial growth in the world waterborne trade volumes and drastic changes in the global climate accounted for CO2 emissions, the shipping companies need to escalate their operational and energy efficiency. Therefore, a…

Optimization and Control · Mathematics 2023-07-24 Jasashwi Mandal , Adrijit Goswami , Lakshman Thakur , Manoj Kumar Tiwari

Over the past decade, the continuous surge in cloud computing demand has intensified data center workloads, leading to significant carbon emissions and driving the need for improving their efficiency and sustainability. This paper focuses…

Computer Science and Game Theory · Computer Science 2024-05-29 Enno Breukelman , Sophie Hall , Giuseppe Belgioioso , Florian Dörfler

Biclustering, also called co-clustering, block clustering, or two-way clustering, involves the simultaneous clustering of both the rows and columns of a data matrix into distinct groups, such that the rows and columns within a group display…

Optimization and Control · Mathematics 2024-12-06 Antonio M. Sudoso

The accelerating adoption of Large Language Models (LLMs) in software engineering (SE) has brought with it a silent crisis: unsustainable computational cost. While these models demonstrate remarkable capabilities in different SE tasks, they…

Software Engineering · Computer Science 2026-04-29 Ajmain Inqiad Alam , Palash Roy , Chanchal K. Roy , Banani Roy , Kevin A. Schneider

This paper proposes a Clustered Unit Commitment (CUC) formulation to accurately model flexibility requirements such as ramping, reserve, and startup/shutdown constraints. The CUC is commonly applied in large and long-term planning models to…

Optimization and Control · Mathematics 2019-06-21 German Morales-Espana , Diego A. Tejada-Arango
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