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Problem 2: Workstation Assignment (8 points) A product has a takt time of 70 seconds and the following precedence diagram. Ta

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Answer #1

2.

(a)

Station Task Time (Seconds) Time left (Seconds) Ready tasks (# followers)
A(6)
1 A 20 50 B(2), C(3)
C 40 10 B(2), D(2)
D 10 0 B(2), F(1)
2 B 40 30 F(1), E(1)
F 20 10 E(1)
3 E 60 10 G(0)
4 G 50 20

(b)

Station Task Time (Seconds) Time left (Seconds) Ready tasks (# followers)
A(240)
1 A 20 50 B(150),C(120)
B 40 10 C(120),E(110)
2 C 40 30 E(110),D(80)
D 10 20 E(110),F(70)
F 20 0 E(110)
3 E 60 10 G(50)
4 G 50 20

2.

Required cycle time = 16*60*60 / 500 = 115.2 seconds.

Cycle time (sec) Required cycle time Idle time
Workstation #1 70+30+10 = 110 115.2 5.2
Workstation #2 6+10+10 = 80 115.2 35.2
Workstation #3 60+20 = 80 115.2 35.2
Workstation #4 30+70 = 100 115.2 15.2
Total 90.8

So, total idle time per cycle = 90.8 seconds.

(b)

Percentage idle time = Idle time / (No. of stations * required cycle time) = 90.8 / (4*115.2) = 19.70%

(c)

Efficiency = 100% - 19.70% = 80.30%

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