23 citations · 51 across the 13 of their papers we have counts for
4 papers · 1 filter
Parametric Polyhedra with at least Lattice Points: Their Semigroup Structure and the k-Frobenius Problem
Iskander Aliev, Jesus A. De Loera, Quentin Louveaux
Given an integral matrix , the well-studied affine semigroup $\mbox{ Sg} (A)=\{ b : Ax=b, \ x \in {\mathbb Z}^n, x \geq 0\}$ can be stratified by the number of latt…
A Quantitative Doignon-Bell-Scarf Theorem
Iskander Aliev, Robert Bassett, Jesus A. De Loera +1
The famous Doignon-Bell-Scarf Theorem is a Helly-type result about the existence of integer solutions on systems of linear inequalities. The purpose of this paper is to present the…
A quantitative analysis of the effect of flexible loads on reserve markets
Sébastien Mathieu, Quentin Louveaux, Damien Ernst +1
We propose and analyze a day-ahead reserve market model that handles bids from flexible loads. This pool market model takes into account the fact that a load modulation in one dire…
Relaxations for multi-period optimal power flow problems with discrete decision variables
Quentin Gemine, Damien Ernst, Quentin Louveaux +1
We consider a class of optimal power flow (OPF) applications where some loads offer a modulation service in exchange for an activation fee. These applications can be modeled as mul…