As part of a major plant renovation project, the industrial engineering departme
ID: 422393 • Letter: A
Question
As part of a major plant renovation project, the industrial engineering department has been asked to balance a revised assembly operation to achieve an output of 240 units per eight-hour day. Task times and precedence relationships are as follows 0.2 0.4 0.2 0.4 1.2 1.2 1.0 Do each of the following b. Determine the minimum cycle time, the maximum oydle time, and the calculated cycle time. (Round your answers to 1 decimal place) The minimum cycle time The maximum cycle time Calculated cycle time minutes per unit minutes per unit minutes per unit c. Determine the minimum number of stations needed (Round your answer to the next whole number.) Minimum number of stations d. Assign tasks to workstations on the basis of greatest number of following tasks Use longest processing time as a tiebreaker if ties sill exist assume indifference in choice Following Tasks Click to select) Click to select) Click to select) (Click to select) Work stations e. Compute the percentage of idle time for the assignment in part d Use the actual bottleneck cycle time in your calculation (Round your answer to 1 decimal place. Omit the""sign in your Percentage of ide time Search Windows THE HExplanation / Answer
Please find below answers to question #b, #c and #d :
Answer to question b :
Minimum cycle time = Maximum duration of any task = 1.2 minutes ( task e or f )
Maximum cycle time
= sum of duration of all tasks
= 0.2 + 0.4 + 0.2 + 0.4 + 1.2 + 1.2 + 1 minutes
= 4.6 minutes
Calculated cycle time
= 480 minutes ( i.e. 8 hour a day ) / 240 units = 2 minutes / unit
Answer to question c :
Minimum number of stations
= Sum of durations of all tasks / Cycle time
= 4.6/2
= 2.3 ( 3 rounded to nearest whole number )
Answer to question d :
The precedence diagram of tasks as follows :
A
D
B
E
C
F
G
Assignment of workstations as per given rule will be done in such a way so that total duration of tasks against any workstation shall not exceed cycle time of 2 minutes
Workstation
Tasks allotted
Total duration ( mins)
1
A,B,C,F
0.2 + 0.4 + 0.2 + 1.2 = 2
2
D,E
0.4 + 1.2 = 1.6
3
G
1
A
D
B
E
C
F
G
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