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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.

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
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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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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