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Nowadays, the transport goods problem occupies an important place in theeconomic life of modern societies. The pickup and delivery problem with timewindows (PDPTW) is one of the problems which a large part of the research wasinterested. In this paper, we present a a brief literature review of the VRPand the PDPTW, propose our multicriteria approach based on genetic algorithmswhich allows minimize the compromise between the vehicles number, the totaltardiness time and the total travel cost. And this, by treating the case wherea customer can have multiple suppliers and one supplier can have multiplecustomers

Approche Multicrit\`ere pour le Probl\`eme de Ramassage et de Livraison avec Fen\^etres de Temps \`a Plusieurs V\'ehicules