3. Shown in the following table are seven components and their respective produc
ID: 468666 • Letter: 3
Question
3. Shown in the following table are seven components and their respective production quantities and machine sequence
. Component Production Quantity Machine Sequence L1 50,000 A, B, C, D
L2 30,000 S, M
L3 9,000 C, D
L4 10,000 S, M, R
L5 1,000 S, R
L6 15,00 0 B, A, D
L7 1,000 B, D
Suppose we only have one machine for each type. That is, we only have one machine A, one machine B, one machine C, and so on.
Please group the components using cluster analysis and present the result in a table similar to the one on Slide 28 of Lecture 09. A visual method is enough in the case due to the limited number of components and machines. (10 points)
Explanation / Answer
CLUSTER #
MACHINE
COMPONENT
QTY PROCESSED
1
A
L1,L6
65,000
B
L1,L6,L7
66,000
C
L1,L3
59,000
D
L1,L3,L6,L7
75,000
TOTAL #
4
4
2,65,000
2
S
L2,L4,L5
41,000
M
L2,L4
40,000
R
L4,L5
11,000
TOTAL #
3
3
92,000
(QTY PROCESSED : since L1 will be processed through A,B,C,D, hence 50,000 units will be processed on all 4 machines)
(Cluster 1 has 4 machines A,B,C,D processing 4 components L1,L3,L6, L7)
(Cluster 2 has 3 machines S,M,R processing 3 components L2,L4,L5
CLUSTER #
MACHINE
COMPONENT
QTY PROCESSED
1
A
L1,L6
65,000
B
L1,L6,L7
66,000
C
L1,L3
59,000
D
L1,L3,L6,L7
75,000
TOTAL #
4
4
2,65,000
2
S
L2,L4,L5
41,000
M
L2,L4
40,000
R
L4,L5
11,000
TOTAL #
3
3
92,000
(QTY PROCESSED : since L1 will be processed through A,B,C,D, hence 50,000 units will be processed on all 4 machines)
(Cluster 1 has 4 machines A,B,C,D processing 4 components L1,L3,L6, L7)
(Cluster 2 has 3 machines S,M,R processing 3 components L2,L4,L5
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