Alain Hertz

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114 results — page 5 of 6

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Let <i>G = (V,E,w)</i> be a graph with vertex and edge sets <i>V</i> and <i>E</i>, respectively, and <i>w : E</i> <img src="/cgi-bin/mimetex.cgi?\rightarrow"...

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The Team Orienteering Problem (TOP) is the generalization to the case of mul- tiple tours of the Orienteering Problem, known also as Selective Traveling Sal...

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We consider a crew scheduling problem with preferential bidding in the airline industry. We propose a new methodology based on a graph coloring model and a ...

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It is well known that each tree metric <i>M</i> has a unique realization as a tree, and that this realization minimizes the total length of the edges among ...

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Nous décrivons les méta-heuristiques couramment utilisées en optimisation, avec pour objectif de guider toute personne désirant adapter une méta-heuristique...

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This article reviews some of the best metaheuristics proposed in recent years for the Vehicle Routing Problem. These are based on local search, on populatio...

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In the present paper we review the method of augmenting graphs, which is a general approach to solve the maximum independent set problem. Our objective is th...

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The problem retained for the ROADEF'2001 international challenge was a frequency assignment problem with polarization constraints (FAPP). This NP-hard probl...

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<i>Tabucol</i>&nbsp; is a tabu search algorithm that tries to determine whether the vertices of a given graph can be colored with a &#64257;xed number <i>k</...

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This paper presents algorithms to find vertex-critical and edge-critical subgraphs in a given graph <i>G</i>, and demonstrates how these critical subgraphs ...

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Let <i>G</i>=(<i>V,E</i>) be a graph with vertex set <i>V</i> and edge set <i>E</i>. The <i>k</i>-colouring problem is to assign a colour (a number chosen ...

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The augmenting chain technique has been applied to solve the maximum stable set problem in the class of line graphs (which coincides with the maximum matchin...

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Given a finite set <i>E</i> and a family <i>F</i>={<i>E</i><sub>1</sub>,...,<i>E<sub>m</sub></i>} of subsets of <i>E</i> such that <i>F</i> covers <i>E</i>...

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We describe a tabu search algorithm for the vehicle routing problem with split deliveries. At each iteration, a neighbour solution is obtained by removing a ...

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The 18<sup>th</sup> EURO Summer/Winter Institute (ESWI XVIII) took place during the spring 2000 in Switzerland. The topic of ESWI XVIII, "Meta-heuristics in ...

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Arc routing problems (ARPs) arise naturally in several applications where streets require maintenance, or customers located along road must be serviced. The ...

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Finding augmenting chains is in the heart of the maximum matching problem, which is equivalent to the maximum stable set problem in the class of line graphs...

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The complexity status of the maximum stable set problem in the class of <i>P</i><sub>5</sub>-free graphs is unknown. In this paper, we first propose a chara...

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The maximum stable set problem is NP-hard, even when restricted to <i>banner</i>-free graphs. In this paper, we use the augmenting graph approach to attack ...

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This article reports on some recent algorithmic development for the <i>Rural Postman Problem</i> (CPP) and for the <i>Capacitated Arc Routing Problem</i> (C...

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