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A novel parallel algorithm for solving the classical Decision Boolean Satisfiability problem with clauses in conjunctive normal form is depicted. My approach for solving SAT is without using algebra or other computational search strategies…

Data Structures and Algorithms · Computer Science 2018-04-17 Carlos Barrón-Romero

Power company operators make power generation plans one day in advance, in what is known as the Unit Commitment (UC) problem. UC is exposed to uncertainties, such as unknown electricity load and disturbances caused by renewable energy…

Optimization and Control · Mathematics 2026-03-11 Ichiro Toyoshima , Pierre-Louis Poirion , Tomohide Yamazaki , Kota Yaguchi , Masayuki Kubota , Ryota Mizutani , Akiko Takeda

Random constraint satisfaction problems (CSP) have been studied extensively using statistical physics techniques. They provide a benchmark to study average case scenarios instead of the worst case one. The interplay between statistical…

Disordered Systems and Neural Networks · Physics 2017-06-06 Silvio Franz , Giorgio Parisi , Maksim Sevelev , Pierfrancesco Urbani , Francesco Zamponi

Two-stage robust unit commitment (RUC) models have been widely used for day-ahead energy and reserve scheduling under high renewable integration. The current state of the art relies on budget-constrained polyhedral uncertainty sets to…

Optimization and Control · Mathematics 2019-05-14 Alexandre Velloso , Alexandre Street , David Pozo , José M. Arroyo , Noemi G. Cobos

Leveraging the current generation of quantum devices to solve optimization problems of practical interest necessitates the development of hybrid quantum-classical (HQC) solution approaches. In this paper, a multi-cut Benders decomposition…

Quantum Physics · Physics 2023-02-14 Nikolaos G. Paterakis

This paper presents an open source stochastic unit commitment (UC) optimization tool, which is available on GitHub. In addition, it presents an example use case in which UC optimization is done for a waste-to-energy plant with heat storage…

Optimization and Control · Mathematics 2024-08-20 Tom Welfonder , Johannes Lips , Alois Gmur , Hendrik Lens

Valve-point loading affects the input-output characteristics of generating units, bringing the fuel costs nonlinear and nonsmooth. This has been considered in the solution of load dispatch problems, but not in the planning phase of unit…

Optimization and Control · Mathematics 2014-04-22 João Pedro Pedroso , Mikio Kubo , Ana Viana

The Boolean satisfiability problem (SAT) is of central importance in both theory and practice. Yet, most provable guarantees for quantum algorithms rely exclusively on Grover-type methods that cap the possible advantage at only quadratic…

Quantum Physics · Physics 2025-11-14 Franz J. Schreiber , Maximilian J. Kramer , Alexander Nietner , Jens Eisert

This paper introduces a propositional encoding for lexicographic path orders in connection with dependency pairs. This facilitates the application of SAT solvers for termination analysis of term rewrite systems based on the dependency pair…

Logic in Computer Science · Computer Science 2007-05-23 Michael Codish , Peter Schneider-Kamp , Vitaly Lagoon , René Thiemann , Jürgen Giesl

To take unit commitment (UC) decisions under uncertain net load, most studies utilize a stochastic UC (SUC) model that adopts a one-size-fits-all representation of uncertainty. Disregarding contextual information such as weather forecasts…

Optimization and Control · Mathematics 2022-12-01 Ogun Yurdakul , Feng Qiu , Sahin Albayrak

Security-constrained unit commitment (SCUC) is solved for power system day-ahead generation scheduling, which is a large-scale mixed-integer linear programming problem and is very computationally intensive. Model reduction of SCUC may bring…

Systems and Control · Electrical Eng. & Systems 2022-07-14 Arun Venkatesh Ramesh , Xingpeng Li

As renewable wind energy penetration rates continue to increase, one of the major challenges facing grid operators is the question of how to control transmission grids in a reliable and a cost-efficient manner. The stochastic nature of wind…

Systems and Control · Computer Science 2016-11-29 Kaarthik Sundar , Harsha Nagarajan , Miles Lubin , Line Roald , Sidhant Misra , Russell Bent , Daniel Bienstock

A wide range of constraints can be compactly specified using automata or formal languages. In a sequence of recent papers, we have shown that an effective means to reason with such specifications is to decompose them into primitive…

Artificial Intelligence · Computer Science 2009-03-04 Claude-Guy Quimper , Toby Walsh

Polynomial optimization problems represent a wide class of optimization problems, with a large number of real-world applications. Current approaches for polynomial optimization, such as the sum of squares (SOS) method, rely on large-scale…

Optimization and Control · Mathematics 2025-07-04 Dimitris Bertsimas , Dick den Hertog , Thodoris Koukouvinos

In this paper, we address a general eigenstructure assignment problem where the objective is to distribute the closed-loop modes over the components of the system outputs in such a way that, if a certain mode appears in a given output, it…

Optimization and Control · Mathematics 2016-12-01 Emanuele Garone , Lorenzo Ntogramatzidis , Fabrizio Padula

Multi-unit organizations are a form of organizations where the geographically dispersed units provide similar products or services in different markets. Deciding on an appropriate level of centralization in such organizations presents a…

General Economics · Economics 2025-08-19 Ravshanbek Khodzhimatov , Stephan Leitner , Friederike Wall

We propose a novel decomposition framework for the distributed optimization of Difference Convex (DC)-type nonseparable sum-utility functions subject to coupling convex constraints. A major contribution of the paper is to develop for the…

Information Theory · Computer Science 2013-09-23 Alberth Alvarado , Gesualdo Scutari , Jong-Shi Pang

Learning to improve AUC performance is an important topic in machine learning. However, AUC maximization algorithms may decrease generalization performance due to the noisy data. Self-paced learning is an effective method for handling noisy…

Machine Learning · Computer Science 2022-07-11 Bin Gu , Chenkang Zhang , Huan Xiong , Heng Huang

In multi-agent path finding (MAPF) the task is to find non-conflicting paths for multiple agents. In this paper we focus on finding suboptimal solutions for MAPF for the sum-of-costs variant. Recently, a SAT-based approached was developed…

Artificial Intelligence · Computer Science 2017-07-04 Pavel Surynek , Ariel Felner , Roni Stern , Eli Boyarski

The Maximum Satisfiability (MaxSAT) problem is the problem of finding a truth assignment that maximizes the number of satisfied clauses of a given Boolean formula in Conjunctive Normal Form (CNF). Many exact solvers for MaxSAT have been…

Artificial Intelligence · Computer Science 2018-06-13 Mohamed El Halaby