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Computing All Faces of the Minkowski Sum of V-Polytopes

Publications associées (77)

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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

Parametric integer programming in fixed dimension

Friedrich Eisenbrand, Gennady Shmonin

We consider the following problem: Given a rational matrix

A \in \mathbb{Q}^{m \times n}

and a rational polyhedron

Q \subseteq \mathbb{R}^{m+p}

, decide if for all vectors

b \in \mathbb{R}^m

, for which there exists an integral

z \in \mathbb{Z}^p

suc ...

2008

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

Stability and Delay Bounds in Heterogeneous Networks of Aggregate Schedulers

Jean-Yves Le Boudec, Gianluca Rizzo

Aggregate scheduling is one of the most promising solutions to the issue of scalability in networks, like DiffServ networks and high speed switches, where hard QoS guarantees are required. For networks of FIFO aggregate schedulers, the main existing suffic ...

2008

Minkowski sums of polytopes

Christophe Weibel

Minkowski sums are a very simple geometrical operation, with applications in many different fields. In particular, Minkowski sums of polytopes have shown to be of interest to both industry and the academic world. This thesis presents a study of these sums, ...

EPFL2007

Stability and Delay Bounds in Heterogeneous Networks of Aggregate Schedulers

Jean-Yves Le Boudec, Gianluca Rizzo

2007

An approach to modelling and verification of component based systems

Joseph Sifakis

We build on a framework for modelling and investigating component-based systems that strictly separates the description of behavior of components from the way they interact. We discuss various properties of system behavior as liveness, local progress, loca ...

2007

TCHo: a Hardware-Oriented Trapdoor Cipher

Serge Vaudenay, Willi Meier, Jean-Philippe Aumasson

This paper improves the Finiasz-Vaudenay construction of TCHo, a hardware-oriented public-key cryptosystem, whose security relies in the hardness of finding a low-weight multiple of a given polynomial, and on the decoding of certain noisy cyclic linear cod ...

Springer2007

A Recovery Algorithm for a Disrupted Airline Schedule

Michel Bierlaire, Matteo Salani, Niklaus Eggenberg

The airline scheduling is a very large and complex problem. Moreover, it is common that only a minority of the initial schedules are carried out as planned because of delays, airport closures or other unforeseen events. Thus, given an actual state of the r ...

2007

Parametric integer programming in fixed dimension

Friedrich Eisenbrand, Gennady Shmonin

We consider the following problem: Given a rational matrix

A \in \mathbb{Q}^{m \times n}

and a rational polyhedron

Q \subseteq \mathbb{R}^{m+p}

, decide if for all vectors

b \in \mathbb{R}^m

, for which there exists an integral

z \in \mathbb{Z}^p

suc ...

2008