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A note on the integrality gap of the configuration LP for restricted Santa Claus

Publications associées (39)

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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

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

Quasi-polynomial Local Search for Restricted Max-Min Fair Allocation

Ola Nils Anders Svensson, Lukas Polacek

The restricted max-min fair allocation problem (also known as the restricted Santa Claus problem) is one of few problems that enjoys the intriguing status of having a better estimation algorithm than approximation algorithm. Indeed, Asadpour et al. [1] pro ...

Springer2012

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

The interval constrained 3-coloring problem

Laura Sanità

In this paper, we settle the open complexity status of interval constrained coloring with a fixed number of colors. We prove that the problem is already NP-complete if the number of different colors is 3. Previously, it has only been known that it is NP-co ...

Springer Verlag2010

Testing additive integrality gaps

Friedrich Eisenbrand, Nicolai Hähnle, Gennady Shmonin

We consider the problem of testing whether the maximum integrality gap of a family of integer programs in standard form is bounded by a given constant. This can be viewed as a generalization of the integer rounding property, which can be tested in polynomi ...

2010

On the Complexity of the Asymmetric VPN Problem

Thomas Rothvoss, Laura Sanità

We give the first constant factor approximation algorithm for the asymmetric Virtual Private Network (VPN) problem with arbitrary concave costs. We even show the stronger result, that there is always a tree solution of cost at most 2 OPT and that a tree so ...

Springer2009

Towards a Theory of Robust Localization against Malicious Beacon Nodes

Murtuza Jadliwala

Localization in the presence of malicious beacon nodes is an important problem in wireless networks. Although significant progress has been made on this problem, some fundamental theoretical questions still remain unanswered: in the presence of malicious b ...

IEEE Computer Society2008

A PTAS for Static Priority Real-Time Scheduling with Resource Augmentation

Friedrich Eisenbrand, Thomas Rothvoss

We present a polynomial time approximation scheme for the real-time scheduling problem with fixed priorities when resource augmentation is allowed. For a fixed ε > 0, our algorithmcomputes an assignment using atmost (1+ε)·OPT +1 processors in polynomial ti ...

Springer2008