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Optimal Software Patching Plan for PMUs

Publications associées (88)

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A note on the data-driven capacity of P2P networks

Pascal Frossard

We consider two capacity problems in P2P networks. In the first one, the nodes have an infinite amount of data to send and the goal is to optimally allocate their uplink bandwidths such that the demands of every peer in terms of receiving data rate are met ...

2009

Drawing (complete) binary tanglegrams: Hardness, approximation, fixed-parameter tractability

A binary tanglegram is a pair (S, T) of binary trees whose leaf sets are in one-to-one correspondence; matching leaves are connected by inter-tree edges. For applications, for example in phylogenetics, it is essential that both trees are drawn without edge ...

Springer2009

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

Background: Given three signed permutations, an inversion median is a fourth permutation that minimizes the sum of the pairwise inversion distances between it and the three others. This problem is NP-hard as well as hard to approximate. Yet median-based ap ...

2009

2D-TUCKER Is PPAD-Complete

Tucker's lemma states that if we triangulate the unit disc centered at the origin and color the vertices with {1, 1,2, 2} in an antipodal way (if vertical bar z vertical bar = 1, then the sum of the colors of z and -z is zero), then there must be an edge F ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2009

New Results on Optimizing Rooted Triplets Consistency

A set of phylogenetic trees with overlapping leaf sets is consistent if it can be merged without conflicts into a supertree. In this paper, we study the polynomial-time approximability of two related optimization problems called the maximum rooted triplets ...

Springer2008

On Linear Arithmetic with Stars

Viktor Kuncak, Ruzica Piskac

We consider an extension of integer linear arithmetic with a star operator that takes closure under vector addition of the set of solutions of linear arithmetic subformula. We show that the satisfiability problem for this language is in NP (and therefore N ...

2008

Linear Arithmetic with Stars

Viktor Kuncak, Ruzica Piskac

We consider an extension of integer linear arithmetic with a “star” operator takes closure under vector addition of the solution set of a linear arithmetic subformula. We show that the satisfiability problem for this extended language remains in NP (and th ...

Springer2008

Preemptive open shop scheduling with multiprocessors: polynomial cases and applications

Dominique de Werra

This paper addresses a multiprocessor generalization of the preemptive open-shop scheduling problem. The set of processors is partitioned into two groups and the operations of the jobs may require either single processors in either group or simultaneously ...

2008

A tutorial on the use of graphs in discrete tomography

Dominique de Werra, Bernard Ries

Starting from the basic image reconstruction problem in discrete tomography some graph theoretical models are proposed. This suggests the study of some variations and extensions of the basic problem. Applications in scheduling and timetabling are described ...

Springer-Verlag2008