The ABC company manufactures cell phones with 4 following sequential workstations. One worker stands at each station and performs the following tasks. workstations Tasks Processing time(sec) 1 A 50 B 45 C 35 2. D 15 E 45 F G 38 22 workstations Tasks 3 Processing time(sec) H 27 I 24 J 66 K 10 L 55 M 29 N 45 These 4 workers begin their workdays at 9 a.m. and work steadily until 6 p.m. At 6 p.m no new cell phone parts are introduced into workstation 1 and the production continues until all of the work-in-process inventory has been processed and leaves workstation 4. Thus each morning the workers begin with an empty system. 1-1 What is the bottleneck in this process? 1-2. What is the capacity, in cell phones per hour, of the line after 10 a.m.? 1-3. What is the direct labour content in this process? 1-4. What is the utilization of the worker in workstation 2 between 10 a.m. and 11 a.m.? 1-5. If we move task K from workstation 3 to workstation 2, is it helpful to increase the capacity of the line? Why or why not? Consider the following production line which consists of 4 workstations. cutting section 1 section 2 finishing Set-up time Activity time Resources 30 minutes 0 min 0 min 0 min 5 min/unit 60 min/unit 1 machine 10 workers 20 min/unit 4 workers 4 minutes 1 worker 2-1. What is the capacity of the cutting machine with a batch size of 10? 2-2. What is the capacity of the overall process with the batch size 10? 2-3. Find the batch size maximizing the line capacity.
The ABC company manufactures cell phones with 4 following sequential workstations. One worker stands at each station and performs the following tasks. workstations Tasks Processing time(sec) 1 A 50 B 45 C 35 2. D 15 E 45 F G 38 22 workstations Tasks 3 Processing time(sec) H 27 I 24 J 66 K 10 L 55 M 29 N 45 These 4 workers begin their workdays at 9 a.m. and work steadily until 6 p.m. At 6 p.m no new cell phone parts are introduced into workstation 1 and the production continues until all of the work-in-process inventory has been processed and leaves workstation 4. Thus each morning the workers begin with an empty system. 1-1 What is the bottleneck in this process? 1-2. What is the capacity, in cell phones per hour, of the line after 10 a.m.? 1-3. What is the direct labour content in this process? 1-4. What is the utilization of the worker in workstation 2 between 10 a.m. and 11 a.m.? 1-5. If we move task K from workstation 3 to workstation 2, is it helpful to increase the capacity of the line? Why or why not? Consider the following production line which consists of 4 workstations. cutting section 1 section 2 finishing Set-up time Activity time Resources 30 minutes 0 min 0 min 0 min 5 min/unit 60 min/unit 1 machine 10 workers 20 min/unit 4 workers 4 minutes 1 worker 2-1. What is the capacity of the cutting machine with a batch size of 10? 2-2. What is the capacity of the overall process with the batch size 10? 2-3. Find the batch size maximizing the line capacity.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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Transcribed Image Text:The ABC company manufactures cell phones with 4 following sequential workstations. One worker stands at
each station and performs the following tasks.
workstations Tasks Processing time(sec)
1
A
50
B
45
C
35
2.
D
15
E
45
F
G
38
22
workstations Tasks
3
Processing time(sec)
H
27
I
24
J
66
K
10
L
55
M
29
N
45
These 4 workers begin their workdays at 9 a.m. and work steadily until 6 p.m. At 6 p.m no new cell phone
parts are introduced into workstation 1 and the production continues until all of the work-in-process inventory
has been processed and leaves workstation 4. Thus each morning the workers begin with an empty system.
1-1 What is the bottleneck in this process?
1-2. What is the capacity, in cell phones per hour, of the line after 10 a.m.?
1-3. What is the direct labour content in this process?
1-4. What is the utilization of the worker in workstation 2 between 10 a.m. and 11 a.m.?
1-5. If we move task K from workstation 3 to workstation 2, is it helpful to increase the capacity of the line?
Why or why not?
Consider the following production line which consists of 4 workstations.
cutting
section 1
section 2
finishing
Set-up time
Activity time
Resources
30 minutes
0 min
0 min
0 min
5 min/unit
60 min/unit
1 machine
10 workers
20 min/unit
4 workers
4 minutes
1 worker
2-1. What is the capacity of the cutting machine with a batch size of 10?
2-2. What is the capacity of the overall process with the batch size 10?
2-3. Find the batch size maximizing the line capacity.
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