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| HAL : hal-00462028, version 1 |
| DOI : 10.1007/s10288-005-0074-x |
| Fiche détaillée |  Récupérer au format |
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| 4OR: A Quarterly Journal of Operations Research 4, 1 (2006) 47-59 |
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| Martins' algorithm revisited for multi-objective shortest path problems with a MaxMin cost function |
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Xavier Gandibleux 1Frédéric Beugnies 2 |
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| MOCO Collaboration(s) |
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| (16/03/2006) |
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| This paper presents a direct extension of the label setting algorithm proposed by Martins in 1984 for the shortest path problem with multiple objectives. This extended version computes all the efficient paths from a given source vertex, to all the other vertices of the network. The algorithm copes with problems in which the "cost values" associated with the network arcs are positive. The proposed extension can handle objective functions that are either of the "sum" type or of the "bottleneck" type. The main modifications to Martins' algorithm for multi-objective shortest path problems are linked to the dominance test and the procedure for identifying efficient paths. The algorithmic features are described and a didactic example is provided to illustrate the working principle. The results of numerical experiments concerning the number of efficient solutions produced and the CPU time consumed for several configurations of objectives, on a set of randomly generated networks, are also provided. |
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| 1 : | Laboratoire d'Informatique de Nantes Atlantique (LINA) |
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CNRS : UMR6241 – Université de Nantes – École Nationale Supérieure des Mines - Nantes |
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| 2 : | Laboratoire d'automatique et de mécanique industrielles et humaines (LAMIH) |
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CNRS : UMR8530 – Université de Valenciennes et du Hainaut-Cambresis |
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| 3 : | Alcatel Research & Innovation Center |
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ALCATEL |
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| Domaine | : | Informatique/Recherche opérationnelle |
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| Multiobjective combinatorial optimization - shortest path problem - labelling algorithm |
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| hal-00462028, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00462028 | |
| oai:hal.archives-ouvertes.fr:hal-00462028 | |
| Contributeur : Xavier Gandibleux | |
| Soumis le : Lundi 8 Mars 2010, 11:38:51 | |
| Dernière modification le : Lundi 8 Mars 2010, 11:38:51 | |
