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- W2032156777 abstract "Resume On donne une expression de la valeur optimale fc(y) du programme entier max {c′x∣x∈ Ω (y)∩ N n } ou Ω (y) est le polyedre convexe {x∈ R n ∣Ax=y, x⩾0} . Elle est une consequence de la formule de Brion et Vergne qui evalue la somme ∑ x∈ Ω (y)∩ N n e c′x . On montre que comme en programmation lineaire, fc(y) peut etre obtenue par inspection des couts reduits aux sommets du polyedre. On donne aussi un resultat explicite qui relie fc(ty) a la valeur optimale du programme lineaire associe, pour des valeurs de t∈ N suffisamment grandes. Pour citer cet article : J.B. Lasserre, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 863–866." @default.
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- W2032156777 date "2002-12-01" @default.
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- W2032156777 title "La valeur optimale des programmes entiers" @default.
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- W2032156777 doi "https://doi.org/10.1016/s1631-073x(02)02591-8" @default.
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