Departments A, B, C, and D need to be assigned to four rooms 1, 2, 3, and 4. The
ID: 325833 • Letter: D
Question
Departments A, B, C, and D need to be assigned to four rooms 1, 2, 3, and 4. These rooms are arranged in a row, in that order, with 20 meters between each. The departmental work flows are contained in the table below.
(a) What is the material handling total of assigning A-1, B-2, C-3, D-4?
(b) What is the material handling total of assigning A-1, B-3, C-4, D-2?
Flow Matrix
Dept. A
Dept. B
Dept. C
Dept. D
Dept. A
0
30
10
15
Dept. B
5
0
40
20
Dept. C
0
10
0
40
Dept. D
10
10
0
0
Flow Matrix
Dept. A
Dept. B
Dept. C
Dept. D
Dept. A
0
30
10
15
Dept. B
5
0
40
20
Dept. C
0
10
0
40
Dept. D
10
10
0
0
Explanation / Answer
To be calculated:
Material handling total for given two scenarios
Given values:
Rooms = 1, 2, 3, 4
Distance between each room = 20 meters
Solution:
Scenario-1
A-1, B-2, C-3, D-4
A — B — C — D
1 — 2 — 3 — 4
Distance between adjacent rooms = 20 meters
Material handling total is calculated as;
Material handling total = Sum of (Flow of material between department x Distance between department)
Material handling total = (30 x 20) + (10 x 40) + (15 x 60) + (5 x 20) + (40 x 20) + (20 x 40) + (10 x 20) + (40 x 20) + (10 x 60) + (10 x 40)
Material handling total = 5600
Scenario-2
A-1, B-3, C-4, D-2
A — D — B — C
1 — 2 — 3 — 4
Distance between adjacent rooms = 20 meters
Material handling total is calculated as;
Material handling total = Sum of (Flow of material between department x Distance between department)
Material handling total = (30 x 40) + (10 x 60) + (15 x 20) + (5 x 40) + (40 x 20) + (20 x 20) + (10 x 20) + (40 x 40) + (10 x 20) + (10 x 20)
Material handling total = 5700
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