output
19952026
most citedQuantum repeaters based on entanglement purification

796 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
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14 papers · 1 filter

math.OC2024★ 48 cited

Measuring diversity. A review and an empirical analysis

Francisco Parreño, Ramón Álvarez-Valdés, Rafael Martí

Maximum diversity problems arise in many practical settings from facility location to social networks, and constitute an important class of NP-hard problems in combinatorial optimi…

math.OC2021

Optimal pricing for electricity retailers based on data-driven consumers' price-response

Román Pérez-Santalla, Miguel Carrión, Carlos Ruiz

In the present work we tackle the problem of finding the optimal price tariff to be set by a risk-averse electric retailer participating in the pool and whose customers are price-s…

math.OC2021★ 3 cited

The nonlocal Kelvin principle and the dual approach to nonlocal control in the conduction coefficients

Anton Evgrafov, Jose C. Bellido

We explore the dual approach to nonlocal optimal design, specifically for a classical min-max problem which in this study is associated with a nonlocal scalar diffusion equation. W…

math.OC2019★ 4 cited

Robust Transmission Network Expansion Planning Problem Considering Storage Units

Álvaro García-Cerezo, Luis Baringo, Raquel García-Bertrand

This paper addresses the transmission network expansion planning problem considering storage units under uncertain demand and generation capacity. A two-stage adaptive robust optim…

math.OC2019★ 35 cited

Representative Days for Expansion Decisions in Power Systems

Álvaro García-Cerezo, Luis Baringo

Short-term uncertainty should be properly modeled when the expansion planning problem in a power system is analyzed. Since the use of all available historical data may lead to intr…

math.OC2019★ 14 cited

Non-local control in the conduction coefficients: well posedness and convergence to the local limit

Anton Evgrafov, Jose C Bellido

We consider a problem of optimal distribution of conductivities in a system governed by a non-local diffusion law. The problem stems from applications in optimal design and more sp…

math.OC2019

Morrey's conjecture: rank-one convexity implies quasi-convexity for two-dimensional, two-component maps

Pablo Pedregal

We prove that for two-component maps in dimension two, rank-one convexity is equivalent to quasiconvexity. The essential tool for the proof is a fixed-point argument for a suitable…

math.OC2018

On a variant of Tykhonov regularization in optimal control under PDEs

Pablo Pedregal

We make some remarks on a variant of the classical Tikhonov regularization in optimal control under PDEs which allows for a certain flexibility in dealing with non-linearities and…

math.OC2018★ 113 cited

Two-Stage Robust Unit Commitment for Co-Optimized Electricity Markets: An Adaptive Data-Driven Approach for Scenario-Based Uncertainty Sets

Alexandre Velloso, Alexandre Street, David Pozo +2

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 relie…

math.OC2017

A Consensus-ADMM Approach for Strategic Generation Investment in Electricity Markets

Vladimir Dvorkin, Jalal Kazempour, Luis Baringo +1

This paper addresses a multi-stage generation investment problem for a strategic (price-maker) power producer in electricity markets. This problem is exposed to different sources o…

math.OC2017★ 70 cited

Robust Dynamic Transmission and Renewable Generation Expansion Planning: Walking Towards Sustainable Systems

Cristina Roldán, Agustín A. Sánchez de la Nieta, Roberto Mínguez +1

Nowadays, the transition from a conventional generation system to a renewable generation system is one of the most difficult challenges for system operators and companies. There ar…

math.OC2015

About least-squares type approach to address direct and controllability problems

Arnaud Münch, Pablo Pedregal

- We discuss the approximation of distributed null controls for partial differential equations. The main purpose is to determine an approximation of controls that drives the soluti…

math.OC2014

Weak limits in non-linear conductivity

Pablo Pedregal

The problem of characterizing weak limits of sequences of solutions for a non-linear diffusion equation of -laplacian type is addressed. It is formulated in terms of certain mom…

math.OC2014

A dynamical-system approach to mathematical programming

Pablo Pedregal

We explore how to build a vector field from the various functions involved in a given mathematical program, and show that locally-stable equilibria of the underlying dynamical syst…