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A small electronics company assembles power supplies for use in computers, printers and copy machines. They want to set up an assembly line to make their operation more efficient and plan to use line balancing with the longest-task-time heuristic. The demand for power supplies is 70 per hour, and the productive time per hour is 52 minutes. The following table provides details on their operation. Task Time (in minutes) Predecessors A .54 none B .34 A C .11 A D .09 A E .43 B, C F .22 D G .62 E H .35 F, G I .21 H J .57 H K .33 I, J a. What is the cycle time? b. What is the theoretical minimum number of workstations? c. What tasks go into the first workstation? d. How many workstations are needed for the entire line? e. What is the assembly-line efficiency?

Task Time (in minutes) Seq Work station Time remaining with WS
Task Time (in minutes) Predecessors ES EF TCT Total cycle time 228.6 G 0.62 1 43.56923077
A 0.54 none 0 0.54 TC Target cycle time 80.76923 (70/(52/60)) Ans A J 0.57 2 46.56923077
B 0.34 A 0.54 0.88 (TCT/TC) Min Workstation 2.830286 3 Ans B A 0.54 3 48.36923077
C 0.11 A 0.54 0.65 Idle time 13.70769 mins Sum of spare E 0.43 1 17.76923077
D 0.09 A 0.54 0.63 TCT/(5*11) Efficiency of general cycle 55.87% Theoretical Ans E H 0.35 2 25.56923077
E 0.43 B, C 0.88 1.31 TCT/(5*11) Efficiency of general cycle 94.34% Actual B 0.34 2 5.169230769 Spare
F 0.22 D 0.63 0.85 K 0.33 3 28.56923077
G 0.62 E 1.31 1.93 F 0.22 1 4.569230769 Spare
H 0.35 F, G 1.93 2.28 I 0.21 3 15.96923077
I 0.21 H 2.28 2.49 C 0.11 3 9.369230769
J 0.57 H 2.28 2.85 D 0.09 3 3.969230769 Spare
K 0.33 I, J 2.85 3.18
Total cycle time 3.81 228.6 Tasks to WK 1= G,E,F
Ans C
Theoretically 2.83 Ans D
Actually 3 Ans D
 
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