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ID: 361255 • Letter: C
Question
CLS mePredecessors recle 15 lO DE Ths exert, se only.cont ains. Partslo, ca, e ' aed k.· b Given the demand the cycle hne er tme pred.schon of Hhe New train set Seconds (round to-one decimal place). " ^ .)Tine theoretical minimum nombes of worKstations 1 /laod up. to next whole number) e)The total idle time per cycle for tha processSc enter response as a whole number The clAciency a the assembly line with with 5 = 1 1 Seconds lubrrSta tions= % entage rooded to IF one used lo workstations instead of 5, the as a percentage, roonded to onedeco al place). enter as a peru one decimal place senter S a Dercentage round -Explanation / Answer
Demand for the product = 4500 units
Available time = 40 hour = 144000 seconds
Therefore , cycle time = Available time / Demand for the product = 144000/4500 = 32 seconds
CYCLE TIEM FOR PRODUCTION OF THE NEW TRAIN SET = 37 SECONDS
The Precedence diagram as follows :
A
B
C
D
E
F
Total duration of all tasks A to F = 22 + 28 + 15 + 14 + 10 + 28 seconds = 117 seconds
The theoretical minimum number of workstations
= Total duration of all tasks / Cycle time
= 117/ 37
= 3.162 ( 4 rounded to next higher whole number )
THEORETICAL MINIMUM NUMBER OF WORKSTAIONS = 4
The workstationwise balancing of tasks as follows :
Workstation
Tasks
Total duration ( sec)
Idle time = Cycle time of 37 seconds – Total duration
1
A, C
22 + 15 = 37
0
2
B
28
9
3
D, E
14
23
4
E
10
27
F
28
9
Thus ,
Total idle time per cycle of the process is = 0 + 9 + 23 + 27 + 9 = 68 seconds
Efficiency of the assembly line with 5 workstations
= Total duration of al tasks / ( 5 workstations x Cycle time ) x 100
= 68 / ( 5 x 37 ) x 100
= 68 /185 x 100
= 36.75 %
Efficiency of the assembly line with 6 workstations
= Total duration of all tasks / ( 6 workstations x Cycle time ) x 100
= 68 / ( 6 x 37) x 100
= 30.63 %
TOTAL IDLE TIME PER CYCLE OF THE PROCESS = 68 SECONDS
EFFICIENCY OF THE ASSEMBLY LINE WITH 5 WORKSTATIONS = 36.75 %
EFFICIENCY OF THE ASSEMBLY LINE WITH 6 WORKSTATIONS = 30.63 %
CYCLE TIEM FOR PRODUCTION OF THE NEW TRAIN SET = 37 SECONDS