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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.
Find out how many words can be formed out of the letters of the word DAUGHTER such that (i) The vowels are all time together. (ii) The vowels occupy even places. Ans:
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