HW8
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School
University of Illinois, Urbana Champaign *
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Course
360
Subject
Industrial Engineering
Date
Dec 6, 2023
Type
Pages
7
Uploaded by JusticeButterfly25625
Fall 23 IE 360 Facilities Planning and Design
Homework 8
Question 1:
A furniture company would like to develop a layout for 96 x 92 facility. The company
consists of 10 production departments, which are listed below with specified dimensions.
After the investigation stage, the information you obtained is summarized in the following
relationship table. For closeness ratings (CR), A=64, E=32, I=16, O=8, and U=0.
GS
FS
SE
OF
FC
WC
FR
SH
UP
RE
Dimensions
General Storage (GS)
-
O
U
U
U
A
I
U
O
U
40 x 16
Fabric Storage (FS)
O
-
E
U
A
U
U
U
U
O
40 x 20
Sewing (SE)
U
E
-
U
O
O
O
U
O
E
40 x 32
Office (OF)
U
U
U
-
O
E
U
I
U
I
40 x 24
Fabric Cutting (FC)
U
A
O
O
-
U
U
U
I
U
40 x 12
Wood Cutting (WC)
A
U
O
E
U
-
I
O
U
O
40 x 32
Framing (FR)
I
U
O
U
U
I
-
U
I
U
40 x 20
Shipping (SH)
U
U
U
I
U
O
U
-
O
E
16 x 60
Upholstery (UP)
O
U
O
U
I
U
I
O
-
U
40 x 28
Receiving (RE)
U
O
E
I
U
O
U
E
U
-
16 x 32
a)
(30 points) Apply the ALDEP heuristic to develop a solution. Assume the
threshold
closeness rating is O
and start by placing Office (OF) department.
Explicitly write
down each step and the placement order
. Draw the solution layout and compute
ALDEP layout score with sweep width 40.
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b)
(30 points) Apply the CORELAP heuristic to develop a solution. Use highest TCR
tie breaking rule. If tie exists after using highest TCR tie breaker, use largest area
rule again.
Explicitly write down each step and the placement order
. (You do
not need to draw the solution layout.)
c)
(10 points) Which heuristic would you use to develop a layout for the furniture
company? Give at least one reason for why it is better.
I would use ALDEP heuristic because it gives us solutions which fit in the dimensions of
the facility, but CORELAP gives us solutions that don’t fit into the layout
Consider the following flow matrix F and cost matrix C for d)-e). The cost matrix C
indicates cost per unit flow between two departments.
F=
C=
d)
(15 points) Compute CRAFT score for
your ALDEP solution from part a. You should take cost into account and use
rectilinear distances.
0
4
2
1
2
2
2
4
2
4
4
0
2
1
2
8
2
4
2
2
2
2
0
1
2
4
2
4
2
2
1
1
1
0
1
1
1
1
1
1
2
2
2
1
0
2
2
4
2
4
2
8
4
1
2
0
4
8
4
8
2
2
2
1
2
4
0
4
2
2
4
4
4
1
4
8
4
0
4
2
2
2
2
1
2
4
2
4
0
2
4
2
2
1
4
8
2
2
2
0
0
5
0
0
0
50 10 0
5
0
5
0
20 0
50 0
0
0
0
5
0
20 0
0
5
5
5
0
5
20
0
0
0
0
5
20 0
10 0
10
0
50 5
5
0
0
0
0
10 0
50 0
5
20 0
0
10 5
0
5
10 0
5
0
0
10 0
0
10 0
0
0
0
10 0
5
0
0
5
20
5
0
5
0
10 0
10 5
0
0
0
5
20 10 0
5
0
20 0
0
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e)
(15 points) Compute the change in CRAFT score for swapping Framing department
and General storage department and determine if the interchange improves the
layout.
29750
–
28070 = 1680
No, the value became higher in a min problem, the layout was not improved.