jueves, 8 de marzo de 2012


Problema 2.-
Dado los siguientes tiempos: horas

HORAS ($1.5/H)
T1
T2
T3
T4
MAQ1
5
5
7
8
1
MAQ2
4
3
6
9
1
MAQ3
10
9
M
8
1
MAQ4
7
8
7
7
1
MAQ5
8
6
7
6
1
D
1
1
1
1
COSTOS
T1
T2
T3
T4
MAQ1
7.5
7.5
10.5
12
MAQ2
6
4.5
9
13.5
MAQ3
15
13.5
M
12
MAQ4
10.5
12
10.5
10.5
MAQ5
12
9
10.5
9


Min:
7.5*X11+7.5*X12+10.5*X13+12*X14+6*X21+4.5*X22+9*X23+13.5*X24+15*X31+13.5*X32+12*X34+10.5*X41+12*X42+10.5*X43+10.5*X44+12*X51+9*X52+10.5*X53+9*X54

r1
x11+x12+x13+x14<=1
r2
x21+x22+x23+x24<=1
r3
x31+x32+x34<=1
r4
x41+x42+x43+x44<=1
r5
x51+x52+x53+x54<=1
x11+x21+x31+x41+x51=1
x12+x22+x32+x42+x52=1
x13+x23+x43+x53=1
x14+x24+x34+x44+x54=1

MIN=7.5*X11+7.5*X12+10.5*X13+12*X14+6*X21+4.5*X22+9*X23+13.5*X24+15*X31+13.5*X32+12*X34+10.5*X41+12*X42+10.5*X43+10.5*X44+12*X51+9*X52+10.5*X53+9*X54;
x11+x12+x13+x14<=1; 
x21+x22+x23+x24<=1; 
x31+x32+x34<=1;           
x41+x42+x43+x44<=1; 
x51+x52+x53+x54<=1; 
x11+x21+x31+x41+x51=1;          
x12+x22+x32+x42+x52=1;          
x13+x23+x43+x53=1;    
x14+x24+x34+x44+x54=1;

end       

 Optimal solution found at step:        10
 Objective value:                 31.50000

                       Variable           Value        Reduced Cost
                            X11        1.000000           0.0000000E+00
                            X12       0.0000000E+00       0.0000000E+00
                            X13       0.0000000E+00       0.0000000E+00
                            X14       0.0000000E+00        1.500000
                            X21       0.0000000E+00        1.500000
                            X22        1.000000           0.0000000E+00
                            X23       0.0000000E+00        1.500000
                            X24       0.0000000E+00        6.000000
                            X31       0.0000000E+00        6.000000
                            X32       0.0000000E+00        4.500000
                            X34       0.0000000E+00       0.0000000E+00
                            X41       0.0000000E+00        3.000000
                            X42       0.0000000E+00        4.500000
                            X43        1.000000           0.0000000E+00
                            X44       0.0000000E+00       0.0000000E+00
                            X51       0.0000000E+00        6.000000
                            X52       0.0000000E+00        3.000000
                            X53       0.0000000E+00        1.500000
                            X54        1.000000           0.0000000E+00
T1
T2
T3
T4
MAQ1
1
0
0
0
MAQ2
0
1
0
0
MAQ3
0
0
0
0
MAQ4
0
0
1
0
MAQ5
0
0
0
1

No hay comentarios:

Publicar un comentario