Francis Johnson\'s plant needs to design an efficient assembly line to make a ne
ID: 428831 • Letter: F
Question
Francis Johnson's plant needs to design an efficient assembly line to make a new product. The assembly line needs to produce 12 units per hour, and there is room for only six workstations. The tasks and the order in which they must be performed are shown in the following table. Tasks cannot be split, and it would be too expensive to duplicate any task. TASK TIME IMMEDIATE TASK (MINUTES) PREDECESSOR 3.0 4.0 4.0 1.0 5.0 4.0 3.0 A, B, C b. What is the workstation cycle time required to produce 12 units per hour? (Round your answer to 1 decimal place.) Workstation cycle time d. Balance the line to use the fewest possible workstations to meet the cycle time found in part b. Use whatever method you feel is appropriate. What is the efficiency of your line minutes balance, assuming the line operates at the cycle time from part b? (Round your answer to 1 decimal place.) EfficiencyExplanation / Answer
The precedence diagram of activities as follows :
A
B
C
D
E
F
G
Workstation cycle time to produce 12 units per hour
= 60 minutes/12 units
= 5 minute/ unit
WORKSTATION CYCLE TIME = 5 MINUTES/ UNIT
Total duration of all tasks together
= 3 + 4 + 4 + 1 + 5 + 4 + 3 minutes
= 24 minutes
Therefore,
Theoretical number of workstations
= Total duration of all tasks together / workstation cycle time
= 24/5
= 4.8 ( 5 rounded to next higher whole number )
The tasks to be allocated in workstations in such a way , so that :
Workstation
Tasks
Total duration ( mins)
1
A, D
1 + 3 = 4
2
B
4
3
C
4
4
E
5
5
F
4
6
G
3
Efficiency of the line
= Total duration of all tasks / ( Number of workstations x cycle time ) x 100
= 24/ ( 6 x 5 ) x 100
= 24/30 x 100
= 80%
EFFICIENCY = 80%
A
B
C
D
E
F
G
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