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Chapter 6
Layout Planning Models and
6.1 Several important factors such as:
Product type,
6.2 The material handling decisions can have a significant impact on the effectiveness of a
layout. For example:
Centralized vs. decentralized storage of WIP, tooling, and supplies.
6.3a Fixed Product Layout: It should be used when the product is too large or cumbersome to
6.3c Group Layout: It is used when production volumes for individual products are not
6.3d Process Layout: It is used when there exist many low-volume, dissimilar products to be
planned.
6.4
Furniture Manufacturing Plant
Answers to Problems at the End of Chapter 6 6-2
SECTION 6.3
6.5 The construction type of facility layout procedure involves developing a new layout from
6.6 All three layout procedures provide a systematic step-by-step methodology in designing a
6.7
Relationship Diagram
Flow–Between Diagram Activity Relationship Chart
A B C D A B C D
A–375 125 365 A–I O I
B–400 620 B–E A
C–400 C–E
D–D–
Answers to Problems at the End of Chapter 6 6-3
Space Relationship Diagram
Block Layout
6.8a From-To Chart
Dept. A B C D E F
A–13,320 1,800 0 0 0
B 0 –11,400 6,600 4,920 5,400
C 0 6,600 –2,400 4,200 3,600
D 0 3,000 1,200 –5,040 960
E 0 5,400 7,800 1,200 –5,160
F 0 0 0 0 0 –
Answers to Problems at the End of Chapter 6 6-4
6.8b SLP Approach:
Flow-Between Chart
Rank flow values
Dept. A B C D E F
A–13,320 1,800 0 0 0
B–18,000 9,600 10,320 5,400
C–3,600 12,000 3,600
D–6,240 960
E–5,160
F–
1. B–C 18,000 A
2. A–B 13,320 A
3. C–E 12,000 E
4. B–E 10,320 E
5. B–D 9,600 E
6. D–E 6,240 I
7. B–F 5,400 I
8. E–F 5,160 I
9. C–D 3,600 O
10. C–F 3,600 O
11. A–C 1,800 U
12. D–F 960 U
13. A–D 0 U
14. A–E 0 U
15. A–F 0 U
Answers to Problems at the End of Chapter 6 6-5
Activity Relationship Chart
Relationship Diagram
Block Layout
Dept. A B C D E F
A–A U U U U
B–A E E I
C–O E O
D–I U
E–I
F–
6.9a From-To Chart
Dept. A B C D E F G H I J K L M N O
A–500 440 0 0 0 0 0 0 0 0 0 0 0 0
B–500 500 940 440 0 0 0 0 0 0 0 0 0
C–1,000 01,140 0 0 0 0 0 0 0 0 0
D–640 1,140 01,140 0 0 0 0 0 0 0
E–700 0 0 0 0 0 0 0 0 0
F–0 0 0 0 0 0 0 0 0
G–0 0 0 0 0 630 550 0
H–250 400 300 300 0 0 0
I–150 0 0 0 0 0
J–0 0 0 0 0
K–150 0 0 0
L–0 0 0
M–280 0
N–1,450
O–
6.9b SLP Approach
Rank flow values
N–O 1,450 A B–C 500 I
C-F 1,140 A B–D 500 I
D–F 1,140 A A–C 440 O
D–H 1,140 A B–F 440 O
C-D 1,000 E H–J 400 O
B–E 940 E H-K 300 O
E–F 700 E H-L 300 O
D–E 640 E M-N 280 O
G–M 630 E H-I 250 O
G–N 550 I I–J 150 O
A–B 500 I K–L 150 O
Answers to Problems at the End of Chapter 6 6-7
Activity Relationship Chart
Dept. A B C D E F G H I J K L M N O
A–I O U U U U U U U U U U U U
B–I I E O U U U U U U U U U
C–E U A U U U U U U U U U
D–E A U A U U U U U U U
E–E U U U U U U U U U
F–U U U U U U U U U
G–U U U U U E I U
H–O O O O U U U
I–O U U U U U
J–U U U U U
K–O U U U
L–U U U
M–O U
N–A
O–
Relationship Diagram
Block Layout
A B E J I
C F D H K
O N G M L
6.10a Relationship Diagram
Space Relationship Diagram
6.11 Relationship Diagram
Answers to Problems at the End of Chapter 6 6-10
Space Relationship Diagram
Block Layout
Answers to Problems at the End of Chapter 6 6-11
SECTION 6.4
6.12 𝑓
𝑖𝑗 =20,
𝑖,𝑗 ∈𝐹 𝑓
𝑖𝑗 =−10,
𝑖,𝑗 ∈𝐹
6.13 A to PD #3 B to PD #2 C to PD #5
6.14 Flow-Between Chart
Arrangements/Costs:
Machine A B C D
A–200 3,300 700
B–200 2,800
C–1,200
D–
Answers to Problems at the End of Chapter 6 6-12
6.15 Flow-Between chart is identical to the one presented in the solution to Problem 6.14.
Arrangements/Costs:
6.16 Flow-Between Chart
Machine A B C D E F
A–15 90 70 080
B–75 65 85 0
C–85 45 80
D–90 70
E–10
F–
Answers to Problems at the End of Chapter 6 6-13
Answers to Problems at the End of Chapter 6 6-14
6.17 Flow-Between Chart
Distance Matrix (w/ initial assignments based on diagram)
Arrangements/Costs:
Machine A B C D E
A–0450 500 600
B–700 0250
C–0850
D–200
E–
1 2 3 4 5
1 (A) –20 70 120 140
2 (B) –50 100 120
3 (C) –50 70
4 (D) –20
5 (E) –
6.18 Flow-Between Chart
1. Determine the departments with largest weight: D and E; weight = 450
2. Select the third department to enter: B; weight = 400
3. Select the next department to enter: C; in face D-E-B; weight = 750
4. Decide which face to locate department A; in face B-C-D; weight = 850
A350 250 0600
A350 250 250 850
A350 250 0600
Dept. A B C D E
A–350 250 250 0
B–350 0400
C–050
D–450
E–
D E Total
A250 0250
B 0 400 450
C 0 50 50
D E B Total
A250 0350 600
C 0 400 350 750
C D E Total
A250 250 0500