As the Cottrell Bicycle Co. of St. Louis completes plans for its new assembly line, it identifies 25 different tasks in the production process. VP of Operations Jonathan Cottrell now faces the job of balancing the line. He lists precedences and provides time estimates for each step based on work-sampling techniques. His goal is to produce 1,000 bicycles per standard 40-hour workweek. Balance this operation using the shortest operation time rule and compute the efficiency of the line.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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As the Cottrell Bicycle Co. of St. Louis completes plans for its new assembly line, it identifies 25 different tasks
in the production process. VP of Operations Jonathan Cottrell now faces the job of balancing the line. He lists precedences
and provides time estimates for each step based on work-sampling techniques. His goal is to produce 1,000 bicycles per
standard 40-hour workweek.

Balance this operation using the shortest operation time rule and compute the efficiency of the line. 

Task
Time (sec)
Immediate
Task
Time (sec)
Immediate
Predecessors
Predecessors
K3
60
ЕЗ
109
F3
К4
24
K3
D6
53
F4
K9
27
K3
D7
72
F9, E2, EЗ
J1
66
K3
D8
78
ЕЗ, D6
J2
22
K3
D9
37
D6
J3
3
С1
78
F7
G4
79
К4, К9
B3
72
D7, D8, D9, C1
G5
29
К9, J1
B5
108
C1
F3
32
J2
B7
18
B3
F4
92
J2
A1
52
B5
F7
21
J3
A2
72
B5
F9
126
G4
АЗ
114
B7, А1, А2
Е2
18
G5, F3
Transcribed Image Text:Task Time (sec) Immediate Task Time (sec) Immediate Predecessors Predecessors K3 60 ЕЗ 109 F3 К4 24 K3 D6 53 F4 K9 27 K3 D7 72 F9, E2, EЗ J1 66 K3 D8 78 ЕЗ, D6 J2 22 K3 D9 37 D6 J3 3 С1 78 F7 G4 79 К4, К9 B3 72 D7, D8, D9, C1 G5 29 К9, J1 B5 108 C1 F3 32 J2 B7 18 B3 F4 92 J2 A1 52 B5 F7 21 J3 A2 72 B5 F9 126 G4 АЗ 114 B7, А1, А2 Е2 18 G5, F3
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