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A Polyhedral Approach to the Asymmetric Traveling Salesman Problem
Management Science, 1997Several branch-and-bound algorithms for the exact solution of the asymmetric traveling salesman problem (ATSP), based on the assignment problem (AP) relaxation, have been proposed in the literature. These algorithms perform very well for some instances (e.g., those with uniformly random integer costs), but very poorly for others. The aim of this paper
FISCHETTI, MATTEO, P. Toth
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A Polyhedral Approach to Surface Reconstruction from Planar Contours
2002We investigate the problem of reconstruction a surface given its contours on parallel slices. We present a branch-and-cut algorithm which computes the surface with the minimal area. This surface is assumed to be the best reconstruction since a long time. Nevertheless there were no algorithms to compute this surface.
Althaus, E., Fink, C.
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A polyhedral approach to sequence alignment problems
1999We study two problems in sequence alignment both from a theoretical and a practical point of view. For the first time in sequence alignment, we use tools from combinatorial optimization to develop branch-and-cut algorithms that solve these problems efficiently.
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A polyhedral approach to designing communication networks.
2009Polytopes $Q\sbsp{2E}{n}$ 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
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Practical Approaches to Partially Guarding a Polyhedral Terrain
2014We study the problem of placing guard towers on a terrain such that the terrain can be seen from at least one tower. This problem is important in many applications, and has an extensive history in the literature (known as, e.g., multiple observer siting). In this paper, we consider the problem on polyhedral terrains, and we allow the guards to see only
Kammer, Frank +3 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
Polyhedral approaches to network survivability
1991M. Grötschel, C. Monma, M. Stoer
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Polyhedral skeletal electron pair approach
Accounts of Chemical Research, 1984openaire +1 more source
Polyhedral separation approaches for pattern classification problems
2019In the last twenty years a remarkable research work has been performed in the area of data analysis and machine learning, mainly tackling problems of clustering and classification type. This work deals with pattern classification, which consists in categorizing data into different classes on the basis of their similarities.
A. Astorino, A. Fuduli, M. Gaudioso
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