Homework #2
Assigned Date: March 28, 2013
Due Date: April 8, 2013
Do this assignment individually. Print submission is required. Please put your name on the first page of your submission. All problems are equally weighted
(Solve the following grouping problem using the DCA method.
Use the ROC method for the previous problem.
Use the MIP method for the problem above assuming a total of 3 cells and no more than 4 machines per cell.
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. (10 marks)
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.
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…