The current manufacturing process layout is shown below. Area A Area C Area D Entrance Receiving (2) Area B Area E Parts (3) Breakdown Assembly Inspection Test 10m (5) (6) (2) (8) Area F Area G Cece Racing Metallurgy 10m (4) The number of material movements between the 8 departments per month is shown in the following table: Department O Area H 100 100 Entrance (1) 050 Receiving (2) 30 30000 Parts (3) 2020 Metallurgy (4) 2010 Breakdown (5) 30 Assembly (6) 200 0 O 0 Inspection (7) Re-arrange the layout to minimise the total movement (distance travelled in metres) of material. Adjacent departments (including diagonal) are 10 m apart, non-adjacent departments are 20 or 30 m apart, depending on location. The entrance must remain in its current location. The objective is: Minimise material movement - ΣEXC here X, number of material movements per month Σας, AA (loads or trips) moving from department / to
The current manufacturing process layout is shown below. Area A Area C Area D Entrance Receiving (2) Area B Area E Parts (3) Breakdown Assembly Inspection Test 10m (5) (6) (2) (8) Area F Area G Cece Racing Metallurgy 10m (4) The number of material movements between the 8 departments per month is shown in the following table: Department O Area H 100 100 Entrance (1) 050 Receiving (2) 30 30000 Parts (3) 2020 Metallurgy (4) 2010 Breakdown (5) 30 Assembly (6) 200 0 O 0 Inspection (7) Re-arrange the layout to minimise the total movement (distance travelled in metres) of material. Adjacent departments (including diagonal) are 10 m apart, non-adjacent departments are 20 or 30 m apart, depending on location. The entrance must remain in its current location. The objective is: Minimise material movement - ΣEXC here X, number of material movements per month Σας, AA (loads or trips) moving from department / to
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 18P
Related questions
Question
![Question 1.
The current manufacturing process layout is shown below:
Area A
Entrance
(1)
Area B
Area E
Receiving
(2)
Breakdown Assembly
(5)
(6)
Area F
0
Area C
Inspection
(7)
40m
Parts
(3)
Area G
30
The number of material movements between the 8 departments per month is shown in the following table:
50 20 0
Metallurgy 10m
(4)
Entrance Receiving Parts Metallurgy Breakdown Assembly Inspection Test
(2) (3)
(5) (6) (7)
(1)
(8)
100 100。。。。。
30
20
Area D
0
0
Test 10m
(8)
Area H
20
0
0
0
0
30
0
0
20
10
0
0
Department
Entrance (1)
Minimise material movement = XCywhere
Receiving (2)
Parts (3)
Metallurgy (4)
Breakdown (5)
Assembly (6)
Inspection (7)
Test (8)
Re-arrange the layout to minimise the total movement (distance travelled in metres) of material. Adjacent departments (including diagonal) are 10 m apart, non-adjacent departments are 20 or 30 m apart, depending on location. The entrance must remain in its current location. The
objective is:
8 8
ΣXjCij where X = number of material movements per month
(loads or trips) moving from department i to
department/
Cdistance in feet between departments i and
(which, in this case, is the equivalent of cost per
load to move between departments)
3
E](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ea00505-d62a-4566-81f3-68adad847515%2F77d79443-33ca-4dbe-b11c-2690c85a8f73%2Fnl8lxjj_processed.png&w=3840&q=75)
Transcribed Image Text:Question 1.
The current manufacturing process layout is shown below:
Area A
Entrance
(1)
Area B
Area E
Receiving
(2)
Breakdown Assembly
(5)
(6)
Area F
0
Area C
Inspection
(7)
40m
Parts
(3)
Area G
30
The number of material movements between the 8 departments per month is shown in the following table:
50 20 0
Metallurgy 10m
(4)
Entrance Receiving Parts Metallurgy Breakdown Assembly Inspection Test
(2) (3)
(5) (6) (7)
(1)
(8)
100 100。。。。。
30
20
Area D
0
0
Test 10m
(8)
Area H
20
0
0
0
0
30
0
0
20
10
0
0
Department
Entrance (1)
Minimise material movement = XCywhere
Receiving (2)
Parts (3)
Metallurgy (4)
Breakdown (5)
Assembly (6)
Inspection (7)
Test (8)
Re-arrange the layout to minimise the total movement (distance travelled in metres) of material. Adjacent departments (including diagonal) are 10 m apart, non-adjacent departments are 20 or 30 m apart, depending on location. The entrance must remain in its current location. The
objective is:
8 8
ΣXjCij where X = number of material movements per month
(loads or trips) moving from department i to
department/
Cdistance in feet between departments i and
(which, in this case, is the equivalent of cost per
load to move between departments)
3
E
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