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Polyhedral Approaches to the Design of Survivable Networks

2008
Long-term planning of backbone telephone networks has been an important area of application of combinatorial optimization over the last few years. In this chapter, we review polyhedral results for models related to these problems. In particular, we study classical survivability requirements in terms of k-connectivity of the network, then we extend the ...
Bernard Fortz, Martine Labbé
openaire   +1 more source

Multiple Instance Learning by Polyhedral Approaches

2021
Multiple Instance Learning (MIL) is a variant of traditional supervised learning that has received a considerable amount of attention due to its applicability to real-world problems such as drug activity prediction and image classification. In particular, we are interested in the binary classification case where the objective is to construct a ...
Annabella Astorino   +2 more
openaire   +2 more sources

Polyhedral approaches to network survivability

1991
Martin Grötschel   +2 more
openaire   +1 more source

A polyhedral approach to designing communication networks.

2009
Polytopes $Q\sbsp{2E}{n}$ and $Q\sbsp{2N}{n}$, which are associated with the minimum cost 2-edge-connected subgraph problem and the minimum cost 2-node-connected subgraph problem, respectively, are studied in this thesis, and some new classes of facet-inducing inequalities are introduced for these polytopes. These classes of inequalities are related to
openaire   +2 more sources

An algorithm for planning collision-free paths among polyhedral obstacles

Communications of the ACM, 1979
Tomáš Lozano-Perez
exaly  

Polyhedral Organic Microcrystals: From Cubes to Rhombic Dodecahedra

Angewandte Chemie - International Edition, 2009
Jiansheng Jie   +2 more
exaly  

Separation via polyhedral conic functions

Optimization Methods and Software, 2006
Gurkan ÖZTÜRK
exaly  

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