Here is a 5 by 5 assignment problem. 83 13 76 13 84 58 26 92 45 103 35 63 34 103 12 77 20 10 50 82 29 95 4 35 90 The problem is to meet the demand for minimal cost. Use the Hungarian algorithm to obtain the optimal solution and fill in your value for minimum cost:

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 46P
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Here is a 5 by 5 assignment problem.
34 103 83
12 13 84
92 45 103 35 63
77
13 76
20
58 26
10 50 82
29 95 4 35 90
The problem is to meet the demand for minimal cost.
Use the Hungarian algorithm to obtain the optimal solution and
fill in your value for minimum cost: M
4
Transcribed Image Text:Here is a 5 by 5 assignment problem. 34 103 83 12 13 84 92 45 103 35 63 77 13 76 20 58 26 10 50 82 29 95 4 35 90 The problem is to meet the demand for minimal cost. Use the Hungarian algorithm to obtain the optimal solution and fill in your value for minimum cost: M 4
Here is the optimal tableau for a standard Max problem.
The original rhs was
N
X1
0
1
1
0
0 0
0
(00
X2
X3
X4
$1
5
3 0 6
.3
7.5
0
-.1
28
360 0
-8
-1/15 -3 1 1/15
[300]
180 but the value of b2 has been changed to 169.5
300
$2
83
5
0
.2
0
12
1
-1/10 0
Complete using the Dual Simplex. what is the optimal value of z?
rhs
2700
6
60
2
First use the B-matrix method to find the new rhs for the above tableau
(recall the shortcut for updated ž is y b where y is the dual solution and b is the updated rhs).
what is the new value of b2 in the updated tableau?
Transcribed Image Text:Here is the optimal tableau for a standard Max problem. The original rhs was N X1 0 1 1 0 0 0 0 (00 X2 X3 X4 $1 5 3 0 6 .3 7.5 0 -.1 28 360 0 -8 -1/15 -3 1 1/15 [300] 180 but the value of b2 has been changed to 169.5 300 $2 83 5 0 .2 0 12 1 -1/10 0 Complete using the Dual Simplex. what is the optimal value of z? rhs 2700 6 60 2 First use the B-matrix method to find the new rhs for the above tableau (recall the shortcut for updated ž is y b where y is the dual solution and b is the updated rhs). what is the new value of b2 in the updated tableau?
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