Layout for the assumed penalty, Computer Engineering

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Solve the following 8-department problem using the MIP method.  What is the resulting layout and flow-distance score?  Note that the aspect ratio of each department should be 2. 

Department

Area

Required

 (feet squared)

Desired Aspect Ratio

A

2800

2

B

2100

2

C

2600

2

D

1400

2

E

1600

2

F

1400

2

G

2300

2

H

1800

2

 

From-to Flows

A

B

C

D

E

F

G

H

A

0

302

0

0

0

66

0

68

B

 

0

504

20

136

154

56

40

C

 

 

0

76

352

0

122

94

D

 

 

 

0

0

0

180

8

E

 

 

 

 

0

122

0

282

F

 

 

 

 

 

0

188

24

G

 

 

 

 

 

 

0

296

H

 

 

 

 

 

 

 

0

Solve problem 8 with the condition that the resulting building should be compact.  Assume the same penalty value in the objective function for Bx and By and draw your layout for the assumed penalty.


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