Publications associées à A Constant-Factor Approximation Algorithm for the Asymmetric Traveling Salesman Problem

LP-Based Algorithms For Capacitated Facility Location

Linear programming (LP) has played a key role in the study of algorithms for combinatorial optimization problems. In the field of approximation algorithms, this is well illustrated by the uncapacitated facility location problem. A variety of algorithmic me ...

Society for Industrial and Applied Mathematics2017

Optimal Software Patching Plan for PMUs

Jean-Yves Le Boudec, Ola Nils Anders Svensson, Teklemariam Tsegay Tesfay

Phasor measurement units (PMUs) deployed to monitor the state of an electrical grid need to be patched from time to time to prevent attacks that exploit vulnerabilities in the software. Applying some of these patches requires a PMU reboot, which takes the ...

2017

Submodular Stochastic Probing on Matroids

Justin Dean Ward, Marek Adamczyk

In a stochastic probing problem we are given a universe E, and a probability that each element e in E is active. We determine if an element is active by probing it, and whenever a probed element is active, we must permanently include it in our solution. Mo ...

INFORMS2016

Centrality of trees for capacitated -center

Ola Nils Anders Svensson, Hyung Chan An, Aditya Bhaskara

We consider the capacitated -center problem. In this problem we are given a finite set of locations in a metric space and each location has an associated non-negative integer capacity. The goal is to choose (open) locations (called centers) and assign each ...

Springer Heidelberg2015

Approximating ATSP by Relaxing Connectivity

Ola Nils Anders Svensson

The standard LP relaxation of the asymmetric traveling salesman problem has been conjectured to have a constant integrality gap in the metric case. We prove this conjecture when restricted to shortest path metrics of node-weighted digraphs. Our arguments a ...

IEEE Computer Society2015

No Small Linear Program Approximates Vertex Cover within a Factor 2 - e

Ola Nils Anders Svensson, Abbas Bazzi

The vertex cover problem is one of the most important and intensively studied combinatorial optimization problems. Khot and Regevproved that the problem is NP-hard to approximate within a factor2 - ∈, assuming the Unique Games Conjecture (UGC). This is tig ...

IEEE Computer Society2015

Strong LP formulations for scheduling splittable jobs on unrelated machines

Ola Nils Anders Svensson

A natural extension of the makespan minimization problem on unrelated machines is to allow jobs to be partially processed by different machines while incurring an arbitrary setup time. In this paper we present increasingly stronger LP-relaxations for this ...

Springer Heidelberg2015

On the configuration LP for maximum budgeted allocation

Ola Nils Anders Svensson, Christos Kalaitzis, Lukas Polacek, Aleksander Madry

We study the maximum budgeted allocation problem, i.e., the problem of selling a set of m indivisible goods to n players, each with a separate budget, such that we maximize the collected revenue. Since the natural assignment LP is known to have an integral ...

Springer Heidelberg2015

Centrality of Trees for Capacitated k-Center

Ola Nils Anders Svensson, Hyung Chan An, Aditya Bhaskara

We consider the capacitated k-center problem. In this problem we are given a finite set of locations in a metric space and each location has an associated non-negative integer capacity. The goal is to choose (open) k locations (called centers) and assign e ...

Springer2014

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A Constant-Factor Approximation Algorithm for the Asymmetric Traveling Salesman Problem

LP-Based Algorithms For Capacitated Facility Location

Applications of Strong Convex Relaxations to Allocation Problems

Optimal Software Patching Plan for PMUs

Submodular Stochastic Probing on Matroids

Centrality of trees for capacitated -center

Approximating ATSP by Relaxing Connectivity

No Small Linear Program Approximates Vertex Cover within a Factor 2 - e

Strong LP formulations for scheduling splittable jobs on unrelated machines

On the configuration LP for maximum budgeted allocation

Centrality of Trees for Capacitated k-Center

Graph Chatbot

Chattez avec Graph Search

LP-Based Algorithms For Capacitated Facility Location

Optimal Software Patching Plan for PMUs

Applications of Strong Convex Relaxations to Allocation Problems

Strong LP formulations for scheduling splittable jobs on unrelated machines

No Small Linear Program Approximates Vertex Cover within a Factor 2 - e

Submodular Stochastic Probing on Matroids

Centrality of trees for capacitated -center

Approximating ATSP by Relaxing Connectivity

On the configuration LP for maximum budgeted allocation

Centrality of Trees for Capacitated k-Center