Flow-between matrix layout problem, Computer Engineering

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Solve the problem in page 346 of the paper on cell formation by Boctor using the MIP method.  Use 4 cells and no more than 3 machines per cell.

Solve the problem using the MIP method and report the flow-distance score of the layout.  There are no building restrictions.  Assume the following dimensions for the departments.

Dept

Area (squares)

X-Dimension

Y-Dimension

A

24

4

6

B

16

4

4

C

36

9

4

D

24

6

4

Solve problem 9 again and report the flow-distance score of the layout, now assuming that the X- and Y- dimensions of department C are interchangeable, as necessary.

You are given the following flow-between matrix for a six department layout problem:

Dept

A

B

C

D

E

F

A

--

0

8

0

4

0

B

 

--

0

5

0

2

C

 

 

--

0

1

0

D

 

 

 

--

6

0

E

 

 

 

 

--

4

F

 

 

 

 

 

--

Solve the problem using the MIP method.  Assume that departments A and F have to be 2 x 2.  Departments C and D could either be 2 x 3 or 3 x 2.  Departments B and E may be 2 x 4 or 4 x 2.  Draw the optimal layout and find the resulting flow-distance score.


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