activity
20182026
most citedTight-and-cheap conic relaxation for the optimal reactive power dispatch problem

58 citations · 145 across the 10 of their papers we have counts for

collaborators

14 papers

math.OC2026

Unit commitment constrained Nash equilibrium in power markets

Trine Krogh Boomsma, Mel T. Devine, Miguel F. Anjos

Equilibrium modeling for power markets usually assumes convexity of each players' optimization problem. Although the importance of accounting for fixed generation costs and start-u…

math.OC2022★ 54 cited

Optimising Electric Vehicle Charging Station Placement using Advanced Discrete Choice Models

Steven Lamontagne, Margarida Carvalho, Emma Frejinger +3

We present a new model for finding the optimal placement of electric vehicle charging stations across a multi-period time frame so as to maximise electric vehicle adoption. Via the…

cs.RO2021

A Semidefinite Optimization-based Branch-and-Bound Algorithm for Several Reactive Optimal Power Flow Problems

Julie Sliwak, Miguel Anjos, Lucas Létocart +1

The Reactive Optimal Power Flow (ROPF) problem consists in computing an optimal power generation dispatch for an alternating current transmission network that respects power flow e…

math.OC2020★ 10 cited

Complexity of near-optimal robust versions of multilevel optimization problems

Mathieu Besançon, Miguel F. Anjos, Luce Brotcorne

Near-optimality robustness extends multilevel optimization with a limited deviation of a lower level from its optimal solution, anticipated by higher levels. We analyze the complex…

math.OC2020★ 13 cited

Design and implementation of a modular interior-point solver for linear optimization

Miguel F. Anjos, Andrea Lodi, Mathieu Tanneau

This paper introduces the algorithmic design and implementation of Tulip, an open-source interior-point solver for linear optimization. It implements a regularized homogeneous inte…

math.OC2020

Control of Two Energy Storage Units with Market Impact: Lagrangian Approach and Horizons

Miguel F. Anjos, James R. Cruise, Albert Solà Vilalta

Energy storage and demand-side response will play an increasingly important role in the future electricity system. We extend previous results on a single energy storage unit to the…

math.OC2019

Improving Clique Decompositions of Semidefinite Relaxations for Optimal Power Flow Problems

Julie Sliwak, Miguel Anjos, Lucas Létocart +2

Semidefinite Programming (SDP) provides tight lower bounds for Optimal Power Flow problems. However, solving large-scale SDP problems requires exploiting sparsity. In this paper, w…

math.OC2019

Tight-and-cheap conic relaxation for the AC optimal power flow problem

Christian Bingane, Miguel F. Anjos, Sébastien Le Digabel

The classical alternating current optimal power flow problem is highly nonconvex and generally hard to solve. Convex relaxations, in particular semidefinite, second-order cone, con…

math.OC2019★ 1 cited

Robust Bilevel Optimization for Near-Optimal Lower-Level Solutions

Mathieu Besançon, Miguel F. Anjos, Luce Brotcorne

Bilevel optimization problems embed the optimality of a subproblem as a constraint of another optimization problem. We introduce the concept of near-optimality robustness for bilev…

math.OC2019

A Julia Module for Polynomial Optimization with Complex Variables applied to Optimal Power Flow

Julie Sliwak, Manuel Ruiz, Miguel F. Anjos +2

Many optimization problems in power transmission networks can be formulated as polynomial problems with complex variables. A polynomial optimization problem with complex variables…

math.OC2019★ 7 cited

CONICOPF: Conic relaxations for AC optimal power flow computations

Christian Bingane, Miguel F. Anjos, Sébastien Le Digabel

Computational speed and global optimality are key needs for practical algorithms for the optimal power flow problem. Two convex relaxations offer a favorable trade-off between the…

math.OC2018★ 58 cited

Tight-and-cheap conic relaxation for the optimal reactive power dispatch problem

Christian Bingane, Miguel F. Anjos, Sébastien Le Digabel

The optimal reactive power dispatch (ORPD) problem is an alternating current optimal power flow (ACOPF) problem where discrete control devices for regulating the reactive power, su…

math.OC2018★ 2 cited

A Bilevel Approach to Optimal Price-Setting of Time-and-Level-of-Use Tariffs

Mathieu Besançon, Miguel F. Anjos, Luce Brotcorne +1

Time-and-Level-of-Use (TLOU) is a recently proposed pricing policy for energy, extending Time-of-Use with the addition of a capacity that users can book for a given time frame, red…

math.OC2018

Product-Closing Approximation for Ranking-based Choice Network Revenue Management

Thibault Barbier, Miguel Anjos, Fabien Cirinei +1

Most recent research in network revenue management incorporates choice behavior that models the customers' buying logic. These models are consequently more complex to solve, but th…