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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
C
36
9
D
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:
E
F
--
0
8
5
2
1
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.
Show by induction that your closed formula from (c) is the number of times that the given statement is implemented for a problem of size n.Note: if your proof is easily a proof th
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