activity
20132019
most citedLog-barrier interior point methods are not strongly polynomial

66 citations · 154 across the 8 of their papers we have counts for

collaborators

8 papers

math.OC2019

A Privacy-preserving Method to Optimize Distributed Resource Allocation

Olivier Beaude, Pascal Benchimol, Stéphane Gaubert +2

We consider a resource allocation problem involving a large number of agents with individual constraints subject to privacy, and a central operator whose objective is to optimize a…

cs.MA2019★ 1 cited

A Privacy-preserving Disaggregation Algorithm for Non-intrusive Management of Flexible Energy

Paulin Jacquot, Olivier Beaude, Pascal Benchimol +2

We consider a resource allocation problem involving a large number of agents with individual constraints subject to privacy, and a central operator whose objective is to optimizing…

math.OC2018★ 2 cited

Resource constrained shortest path algorithm for EDF short-term thermal production planning problem

Markus Kruber, Axel Parmentier, Pascal Benchimol

Unit commitment problem on an electricity network consists in choosing the production plan of the plants (units) of a company in order to meet demand constraints. It is generally s…

math.OC2017★ 66 cited

Log-barrier interior point methods are not strongly polynomial

Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert +1

We prove that primal-dual log-barrier interior point methods are not strongly polynomial, by constructing a family of linear programs with inequalities in dimension for…

cs.GT2014★ 3 cited

The tropical shadow-vertex algorithm solves mean payoff games in polynomial time on average

Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert

We introduce an algorithm which solves mean payoff games in polynomial time on average, assuming the distribution of the games satisfies a flip invariance property on the set of ac…

math.OC2014★ 9 cited

Long and winding central paths

Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert +1

We disprove a continuous analogue of the Hirsch conjecture proposed by Deza, Terlaky and Zinchenko, by constructing a family of linear programs with inequalities in dimensio…