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Strong LP formulations for scheduling splittable jobs on unrelated machines

Publications associées (57)

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Cramer-Karhunen-Loeve representation and harmonic principal component analysis of functional time series

Victor Panaretos, Shahin Tavakoli

We develop a doubly spectral representation of a stationary functional time series, and study the properties of its empirical version. The representation decomposes the time series into an integral of uncorrelated frequency components (Cramer representatio ...

Elsevier2013

New Results in the Theory of Linear and Integer Programming

Nicolai Hähnle

The polynomial Hirsch conjecture states that the vertex-edge diameter of a d-dimensional polyhedron with n facets is bounded by a polynomial in d and n. For the special case where the polyhedron is defined as the set of points satisfying a system Ax ≤ b of ...

EPFL2012

Santa Claus Schedules Jobs On Unrelated Machines

Ola Nils Anders Svensson

One of the classic results in scheduling theory is the 2-approximation algorithm by Lenstra, Shmoys, and Tardos for the problem of scheduling jobs to minimize makespan on unrelated machines; i.e., job j requires time p(ij) if processed on machine i. More t ...

Siam Publications2012

Tight Approximation Algorithms for Scheduling with Fixed Jobs and Nonavailability

Ola Nils Anders Svensson, Klaus Jansen

We study two closely related problems in nonpreemptive scheduling of jobs on identical parallel machines. In these two settings there are either fixed jobs or nonavailability intervals during which the machines are not available; in both cases, the objecti ...

Assoc Computing Machinery2012

Mixture Of Kernels And Iterated Semidirect Product Of Diffeomorphisms Groups

Martins Bruveris

In the framework of large deformation diffeomorphic metric mapping (LDDMM), a multiscale theory for the diffeomorphism group is developed based on previous works of the authors. The purpose of this paper is (1) to develop in detail a variational approach f ...

Siam Publications2012

Santa Claus schedules jobs on unrelated machines

Ola Nils Anders Svensson

One of the classic results in scheduling theory is the 2-approximation algorithm by Lenstra, Shmoys, and Tardos for the problem of scheduling jobs to minimize makespan on unrelated machines, i.e., job j requires time p ij if processed on machine i. More th ...

ACM2011

Inapproximability Results for Maximum Edge Biclique, Minimum Linear Arrangement, and Sparsest Cut

Ola Nils Anders Svensson

We consider the Minimum Linear Arrangement problem and the (Uniform) Sparsest Cut problem. So far, these two notorious NP-hard graph problems have resisted all attempts to prove inapproximability results. We show that they have no polynomial time approxima ...

Society for Industrial and Applied Mathematics2011

Representations of Yang-Mills algebras

The aim of this article is to describe families of representations of the Yang-Mills algebras YM(n) (n∈N≥2) defined by A. Connes and M. Dubois-Violette. We first describe some irreducible finite dimensional representations. Next, we provide families of inf ...

2011

New Algorithms for Approximate Nash Equilibria in Bimatrix Games

We consider the problem of computing additively approximate Nash equilibria in noncooperative two-player games. We provide a new polynomial time algorithm that achieves an approximation guarantee of 0.36392. We first provide a simpler algorithm, that achie ...

2010

Fault-Tolerant Facility Location: a randomized dependent LP-rounding algorithm

Abstract We give a new randomized LP-rounding 1.725-approximation algorithm for the metric Fault- Tolerant Uncapacitated Facility Location problem. This improves on the previously best known 2.076-approximation algorithmof Swamy & Shmoys. To the best of ou ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2010