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Time Task Precedence Tasks Task (sec (s ЕЗ D6 D7 D8 J2 D9 J3 C1 K4, K9 K9, J1 B3 B5 J2 B7 25

Time Task Precedence Tasks Task (sec (s ЕЗ D6 D7 D8 J2 D9 J3 C1 K4, K9 K9, J1 B3 B5 J2 B7 25

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. Time Time Task Precedence Tasks Task Precedence Tasks (sec) (sec) K3 60 ЕЗ 109 F3 K3 K3 K3 K3 24 F4 F9, E2, E3 ЕЗ, D6 K4 D6 53 D7 D8 D9 K9 27 72 J1 66 78 J2 22 37 D6 J3 3 C1 78 F7 - 79 K4, K9 K9, J1 G4 B3 72 D7, D8, D9, C1 G5 29 В5 108 C1 F3 32 J2 B7 18 ВЗ F4 F7 92 J2 A1 52 В5 21 J3 A2 72 B5 F9 E2 126 G4 АЗ 114 B7, A1, A2 18 G5, F3 Balance this operation, using various heuristics. Fill in the summary table below (enter number of workstations as a whole number and efficiency as a percent rounded to two decimal places.) Actual Number of Actual Algorithm Workstations Efficiency Fewest following tasks % Longest operation time 0% Most following tasks % Ranked positional weight % Shortest operation time
Transcribed Image Text: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. Time Time Task Precedence Tasks Task Precedence Tasks (sec) (sec) K3 60 ЕЗ 109 F3 K3 K3 K3 K3 24 F4 F9, E2, E3 ЕЗ, D6 K4 D6 53 D7 D8 D9 K9 27 72 J1 66 78 J2 22 37 D6 J3 3 C1 78 F7 - 79 K4, K9 K9, J1 G4 B3 72 D7, D8, D9, C1 G5 29 В5 108 C1 F3 32 J2 B7 18 ВЗ F4 F7 92 J2 A1 52 В5 21 J3 A2 72 B5 F9 E2 126 G4 АЗ 114 B7, A1, A2 18 G5, F3 Balance this operation, using various heuristics. Fill in the summary table below (enter number of workstations as a whole number and efficiency as a percent rounded to two decimal places.) Actual Number of Actual Algorithm Workstations Efficiency Fewest following tasks % Longest operation time 0% Most following tasks % Ranked positional weight % Shortest operation time
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