As the Cottrell Bicycle Co. of Regina Completes plans for its new assembly line,
ID: 348058 • Letter: A
Question
As the Cottrell Bicycle Co. of Regina Completes plans for its new assembly line, it identifies 25 different tasks in the production process. VP of Operations Johnathan 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 40-hour workweek.
a) Balance this operation, using various heuristics. Fill in the summary table below (enter number of workstations as a whole number and efficiency rounded to two decimal places.)
Which algorithm is the best and why?
The _______________ (ranked positional weight and shortest operation time / most following tasks / fewer following tasks / longest operation time) is(are) the best because it(they) gave _____________ (largest / smallest) efficciency.
b) What happens if the firm can change to a 41 hour work week?
Balance this operation, using various heuristics. Fill in the summary table below (enter number of workstations as a whole number and efficiency as a percentage rounded to two decimal places.)
Which algorithm is the best and why?
The _______________ (ranked positional weight and shortest operation time / most following tasks / fewer following tasks / longest operation time) is(are) the best because it(they) gave _____________ (largest / smallest) efficciency.
Task Time (Sec) Precenece Tasks K3 70 - K4 24 K3 K9 15 K3 J1 66 K3 J2 30 K3 J3 3 - G4 64 K4, K9 G5 29 K9, J1 F3 46 J2 F4 92 J2 F7 28 J3 F9 126 G4 E2 96 G5, F3 E3 100 F3 D6 12 F4 D7 72 F9, E2, E3 D8 102 E3, E6 D9 37 D6 C1 17 F7 B3 71 D7, D8, D9, C1 B5 120 C1 B7 18 B3 A1 23 B5 A2 73 B5 A3 87 B7, A1, A2 As the ot re cycle o o egra como cte: p 5 r its new 355em y Ine, da tifes 2L d e en tasks n he procucian process c pe TIOns Jonathan att ell na zces the ob o balancing the ne. He ists recedence: and ra es ime estimates cr each tep based on work san ng technic es is Preccdence laks F4 F9 E2, E3 K9, J1 3 B7. A1, A2 aalan thi cperaran, uaingahe nstics. Hll in the summay table below numbor at wankstahonaa mber and emceicy rounded to two acimN placos.) Workstadions Eciency Fewe:t ial ow ng taks Lorgest operation tim Shartest operstion time Which sgo thm is best anwhy? Thc b Whzt ppans rthe fm can change to a 1 ncur workweek? iare), the bat becuase tthey) gze the I eficiency. Humber oiciancyExplanation / Answer
Required cycle time = 40 x 3600 / 1000 = 144 sec
(a)
Fewest followers
No. of workstations = 12; Efficiency = 1421/(12*144) = 82.23%
Longest operating time
No. of workstations = 11; Efficiency = 1421/(11*144) = 89.71%
Most Followers
No. of workstations = 12; Efficiency = 1421/(12*144) = 82.23%
Ranked positional weight
No. of workstations = 12; Efficiency = 1421/(12*144) = 82.23%
Shortest operation time
No. of workstations = 12; Efficiency = 1421/(12*144) = 82.23%
Best: Longest operation time as it gives efficiency of 89.71%
(b)
For 41 hour work week, the cycle time = 41 x 3600/1000 = 147.6 sec
Fewest following
No. of workstations = 12; Efficiency = 1421/(12*147.6) = 80.23%
Longest operation time
No. of workstations = 11; Efficiency = 1421/(11*147.6) = 87.52%
Most following tasks
No. of workstations = 12; Efficiency = 1421/(12*147.6) = 80.23%
Ranked positional weight
No. of workstations = 11; Efficiency = 1421/(11*147.6) = 87.52%
Shortest operation time
No. of workstations = 12; Efficiency = 1421/(12*147.6) = 80.23%
Best: Longest operation time as it gives efficiency of 87.52% (largest)
Station Work element Time (seconds) Time left (seconds) Ready work elements K3,J3 1 J3 3 141 K3,F7 F7 28 113 K3,C1 C1 17 96 K3,B5 K3 70 26 B5,K4,K9,J1,J2 K9 15 11 B5,K4,J1,J2 2 K4 24 120 B5,J1,J2,G4 J2 30 90 B5,J1,G4,F3,F4 F3 46 44 B5,J1,G4,F4,E3 3 G4 64 80 B5,J1,F4,E3,F9 J1 66 14 B5,F4,E3,F9,G5 4 G5 29 115 B5,F4,E3,F9,E2 F4 92 23 B5,E3,F9,E2,D6 D6 12 11 B5,E3,F9,E2,D9 5 D9 37 107 B5,E3,F9,E2 E2 96 11 B5,E3,F9 6 E3 100 44 B5,F9,D8 7 D8 102 42 B5,F9 8 B5 120 24 F9,A1,A2 A1 23 1 F9,A2 9 A2 73 71 F9 10 F9 126 18 D7 11 D7 72 72 B3 B3 71 1 B7 12 B7 18 126 A3 A3 87 39 Total 1421Related Questions
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