111 6.2.3 Problème de la tournée couvrante bi-objectif ,
114 6.3.2 Étape 1 : Calcul d'une borne inférieure LB ,
,
,
, La méthode SOGA, quant à elle, trouve 63 points en 1037.2 secondes pour un hypervolume de 85.1%. Il existe tout de même quelques instances pour lesquelles notre méthode est plus rapide, points en 2022.5 secondes pour un hypervolume de 84.5%
, Nous allons donc comparer SEM sur les instances utilisées pour le MCTP avec une distance maximale de couverture ? variable. Les résultats sont reportés dans le tableau 6.6 qui présente une colonne |Y| pour le nombre de points non dominés et une colonne Temps pour le temps CPU en secondes pour obtenir l'ensemble complet minimal, BOMCTP traité dans ce chapitre
Cela signifie que la variante du BOMCTP étudiée dans ce chapitre offre un compromis entre les deux objectifs. Par exemple, l'instance D1-1-25-75-6 contient 29 points non dominés et les deux points extrêmes sont les couples (coût ; distance de couverture) suivants : (730; 2934) et (11047; 658). La solution optimale du MCTP trouvée pour l'instance D1-1-25-75-6 correspond au point non dominé (6651; 931) et est située au milieu de Y N . Nous pouvons également noter que la valeur de la cardinalité maximale n n'influence pas le nombre de points non dominés. Au contraire, plus le nombre de points de service 1, Ulrich Ngueveu. Exact Methods for Mono-Objective and Bi-Objective Multi-Vehicle Covering Tour Problems ,
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