Problema 2.-
Dado los siguientes tiempos: horas
HORAS ($1.5/H)
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|||||
T1
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T2
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T3
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T4
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||
MAQ1
|
5
|
5
|
7
|
8
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1
|
MAQ2
|
4
|
3
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6
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9
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1
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MAQ3
|
10
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9
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M
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8
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1
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MAQ4
|
7
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8
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7
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7
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1
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MAQ5
|
8
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6
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7
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6
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1
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D
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1
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1
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1
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1
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|
COSTOS
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|||||
T1
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T2
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T3
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T4
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||
MAQ1
|
7.5
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7.5
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10.5
|
12
|
|
MAQ2
|
6
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4.5
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9
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13.5
|
|
MAQ3
|
15
|
13.5
|
M
|
12
|
|
MAQ4
|
10.5
|
12
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10.5
|
10.5
|
|
MAQ5
|
12
|
9
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10.5
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9
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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
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x11+x12+x13+x14<=1
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r2
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x21+x22+x23+x24<=1
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r3
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x31+x32+x34<=1
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r4
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x41+x42+x43+x44<=1
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r5
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x51+x52+x53+x54<=1
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x11+x21+x31+x41+x51=1
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|
x12+x22+x32+x42+x52=1
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|
x13+x23+x43+x53=1
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x14+x24+x34+x44+x54=1
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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
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0
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0
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0
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MAQ2
|
0
|
1
|
0
|
0
|
MAQ3
|
0
|
0
|
0
|
0
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MAQ4
|
0
|
0
|
1
|
0
|
MAQ5
|
0
|
0
|
0
|
1
|
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