Axe 2 : Aide à la décision prise dans les systèmes complexes

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We present a new general variable neighborhood search approach for the uncapacitated single allocation <i>p</i>-hub median problem in networks. This NP-hard ...

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In this paper, we propose a generic model based on linear programming that allows building an optimal production plan for a work shift in an open-pit mine. T...

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Cet article propose une nouvelle architecture générique pour l'implantation d'un système intelligent de contrôle en temps réel basé sur la simulation dans de...

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In this paper, we study the split delivery vehicle routing problem with time windows SDVRPTW that is a variant of the well-known vehicle routing problem with...

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The modularity maximization model proposed by Newman and Girvan for the identification of communities in networks works for general graphs possibly with loop...

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A new hierarchical divisive algorithm is proposed for identifying communities in complex networks. To that effect, the definition of <i>community in the weak...

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Using the AutoGraphiX system, we obtain conjectures of the form <img src="/cgi-bin/mimetex.cgi?l(n) \leq q_1 \oplus i(G)\leq u(n)"> where <img src="/cgi-bin...

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Let <i>G</i> be a connected graph of order <i>n</i>. The algebraic connectivity of <i>G</i> is the second smallest eigenvalue of the Laplacian matrix of <i>G...

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A crew pairing is a sequence of flights, connections and rests that start and end at a crew base and is assigned to a single crew. The crew pairing problem c...

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This intentionally short tutorial is an introduction to the main features of AMPL that are relevant to nonlinear optimization model authoring. Pointers are g...

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We consider a two-player asymmetric differential game of pollution control. One player is non-vulnerable to pollution, or unwilling to consider damages when ...

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The Traveling Salesman Problem and the Vehicle Routing Problem are two of the most popular problems in the field of combinatorial optimization. The purpose ...

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As of April 2007, the European Union has new regulations concerning driver working hours. These rules force the placement of breaks and rests into the vehicl...

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The <i>proximity</i> <img src="/cgi-bin/mimetex.cgi?\pi = \pi (G)"> of a connected graph <i>G</i> is the minimum, over all vertices, of the average distance ...

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This paper presents a general framework for formulating cutting planes in the context of column generation for integer programs. Valid inequalities can be de...

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We address the problem of locating in the plane objects such as segments, arcs of circumferences, arbitrary convex sets, their complements or their boundarie...

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Harmonic means clustering is a variant of Minimum sum of squares clustering (which is sometimes called <i>K</i>-means clustering), designed to alleviate the ...

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Variable neighborhood search (VNS) is a metaheuristic for solving combinatorial and global optimization problems whose basic idea is a systematic change o...

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Let <i>Q = D + A</i> denote the signless Laplacian matrix of a graph <i>G</i> of order <i>n</i>, where <i>D</i> is the diagonal matrix of the degrees and <i...

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The <i>Vehicle routing Problem</i> (VRP) was introduced 50 years ago by Dantzig and Ramser under the title "The Truck Dispatching Problem". The study of the ...

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