Here is a 5 by 5 assignment problem. 69 14 82 36 22 71 93 74 79 120 28 75 109 44 27 69 7 96 12 41 61 24 23 The problem is to meet the demand for minimal cost. 57 72 Use the Hungarian algorithm to obtain the optimal solution and fill in your value for minimum cost: 0

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6th Edition
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Author:WINSTON, Wayne L.
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Here is a 5 by 5 assignment problem.
82 36 22
74
79 72
120 28 75 109 44
27 69 7 96
12 41 61 24 23
The problem is to meet the demand for minimal cost.
Use the Hungarian algorithm to obtain the optimal solution and
69
71
57
14
93
fill in your value for minimum cost:
Transcribed Image Text:Here is a 5 by 5 assignment problem. 82 36 22 74 79 72 120 28 75 109 44 27 69 7 96 12 41 61 24 23 The problem is to meet the demand for minimal cost. Use the Hungarian algorithm to obtain the optimal solution and 69 71 57 14 93 fill in your value for minimum cost:
Here is the optimal tableau for a standard Max problem.
2
1
0
0
0
X1
-0
1
0
0
X2
X3
X4 81
S2
$3 rhs
5
3
0
6
5
0
.3
7.5
0
-.1
.2
0
28
360 0
-8
12
1
-1/15 -3 1 1/15 -1/10 0
The following new constraint must be incorporated (i.e. Change 6):
50 x1+30 x2 + 15 x3 + 20 x4 ≥ 350
what is the value of the left side of this new constraint with the current optimal solution?
What is the new optimal value of z?
2700
6
60
2
ہے
To use Dual Simplex to get the new optimal solution, change this new constraint to a constraint and add a row (and an $4
column).
Transcribed Image Text:Here is the optimal tableau for a standard Max problem. 2 1 0 0 0 X1 -0 1 0 0 X2 X3 X4 81 S2 $3 rhs 5 3 0 6 5 0 .3 7.5 0 -.1 .2 0 28 360 0 -8 12 1 -1/15 -3 1 1/15 -1/10 0 The following new constraint must be incorporated (i.e. Change 6): 50 x1+30 x2 + 15 x3 + 20 x4 ≥ 350 what is the value of the left side of this new constraint with the current optimal solution? What is the new optimal value of z? 2700 6 60 2 ہے To use Dual Simplex to get the new optimal solution, change this new constraint to a constraint and add a row (and an $4 column).
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