Appliquer la métthode Branch and Bound au problème de lassignation des tâches avec la matrice suivante: 1234 a11 88 b c33415 d Calcul de borne supérieure: a1 + b2 + c3 + d4 = = 40 a4 + b3 + c2 + d1 = = 31*
A = 1 A = 2 A = 3 A = = = = 18 * Cette branche semble la plus prometteuse * Calcul de la borne
A = 1 A = 2 A = 3 A = B = 1 B = 2 B = = = = 24 *
A = 1 A = 2 A = 3 A = B = 1 B = 2 B = C = 1 C = = 31
A = 1 A = 2 A = 3 A = B = 1 B = 2 B=3, C=2, D= *
A = 1 A = 2 A = 3 A = B = 1 B = 2 B=3, C=2, D= C = 2 C = = = 36
A = 1 A = 2 A = 3 A = B = 1 B = 2 B=3, C=2, D= *
A = 1 A = 2 A = 3 A = B = 2 B=3, C=2, D=1 31 C = 1 C = = = 37
A = 1 A = 2 A = 3 A = B = 2 B=3, C=2, D=1 31 *
A = 1 A = 2 A = 3 A=4, B=3, C=2, D= *
A = 1 A = 2 A = 3 A=4, B=3, C=2, D= B = 1 B = 2 B = = = = 19 *
A = 1 A = 2 A = 3 A=4, B=3, C=2, D= B = 4 C = 1 C = = 26
A = 1 A = 2 A=3, B=4, C=1, D=2 23 * 26
A = 1 A = 2 A=3, B=4, C=1, D= B = 1 B = 3 B = = = = 23 *
A = 1 A = 2 A=3, B=4, C=1, D= B = 4 C = 1 C = = = 30
A = 1 A = 2 A=3, B=4, C=1, D= *
A = 1 A=3, B=4, C=1, D=2 26 B = 2 B = 3 B = = = = 23 *
A = 1 A=3, B=4, C=1, D=2 26 B = 4 C = 2 C = = = 30
A = 1 A=3, B=4, C=1, D=2 26
A=3, B=4, C=1, D=2 26 La solution optimale est donc: