Axe 1 : Valorisation des données pour la prise de décision
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We study empirically the topology of the local minima of the 3-SAT problem. In particular, we analyze the size of the plateaus, their altitude, their attrac...
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We consider Nash equilibria as correlated equilibria and apply polyhedral theory to study extreme Nash equilibrium properties. We obtain an alternate proof ...
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If it is assumed that the final product of bromination of C<sub>60</sub> will obey two rules, (i) that no two <i>sp</i><sup>3</sup> carbons may be adjacent,...
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A new algorithm, which exploits information from both ends of the network, is presented for the bicriterion shortest path problem. The algorithm extends eff...
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A new algorithm, based on interval analysis, is proposed for global optimization of constrained nonlinear nonconvex functions of several variables. It expl...
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Systematic change of neighborhood within a possibly randomized local search algorithm yields a simple and effective metaheuristic for combinatorial and glo...
référence BibTeXChopping Graphs
Chopping a graph <i>G</i> means removing one edge from each connected component of <i>G</i> in parallel, and repeating this until no edges remain. The requi...
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This article considers a tool loading problem whose objective is to minimize the number of tool switches over time in order to process several parts on a fl...
référence BibTeXNesticity
A hypergraph <i>H=(X,E)</i> is <i>nested</i> if its edges are pairwise disjoint or included one into the other. The <i>nesticity</i> of <i>H</i> is defined...
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Given a set of entities, Cluster Analysis aims at finding subsets, called clusters, which are homogeneous and/or well separated. As many types of clusterin...
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We study both the continuous and discrete problems of maximizing the product of two linear functions subject to all variables being between 0 and~1. We fir...
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It is shown that the anytime deduction procedure for probabilistic entailment of Frisch and Haddawy does not have the correctness property when the probabil...
référence BibTeXProbabilistic Satisfiability
A review is made of models and algorithms for probabilistic satisfiability and its extensions. The basic probabilistic satisfiability problem, in decision f...
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Extension of input-output functions for generating units allows simultaneous solution of the static unit commitment and economic dispatch problems by dynami...
référence BibTeXMixed Graph Colorings
A mixed graph <i>G<sub><img src="theta.gif"></sub></i> contains both undirected edges and directed arcs. A <i>k</i>-coloring of <i>G<sub><img src="theta.g...
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The <i>p</i>-maxisum dispersion problem consists of locating <i>p</i> facilities at vertices of a network in order to maximize the sum of the distances betw...
référence BibTeXSplitting Trees
Splitting a tree is defined as removing all edges of a chain and disconnecting one from the other edges incident with that chain. Splitting a forest is simu...
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Cluster Analysis is at the crossroad of many disciplines, and has numerous and diverse methods and applications. Mathematical Programming (together with gra...
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Consider an assignment problem in which persons are qualified for some but usually not all of the jobs. Moreover, assume persons belong to given seniority c...
référence BibTeXGlobal Optimization in Location
Global optimization methods aim at finding the global optimum of a nonlinear and nonconvex function subject to nonlinear and nonconvex constraints. The main...
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