Informations :
Production time per day = 7.5 hours
= 27.000 seconds
Output per day = Production time per dayTime needed to make 1 laptop
= 27.000120 = 225 units
Total time needed from Ws #1 to Ws #8 = 843 seconds
Total time needed from Ws #1 to Ws #10 = 1258 seconds (sum of task times)
Total time needed in Ws #2 = 114 seconds (consider as longest time needed before the Ws #9)
Total time needed in Ws #9 = 310 seconds
Total time needed in Ws #10 = 105 seconds
Assembly Line Balancing Formulas:
Takt time (T) = Production time per dayOutput per day (in units) = 27.000225 = 120 seconds (Time needed to make 1 laptop)
Number of Workstations = Sum of task times (S)Takt time (T) = 1258120 = 10 workstations
Efficiency = Sum of task times (S)Actual number of workstations Nax Takt time (T) = 1258(10x120) = 12581200 = 104.8%
Case : 1. Show that the total productions unit can reach 225 units in 7.5 work hours if the time needed to make 1 laptop is 2 minutes, with informations given in case! 2. Show that Toshiba can produce 300 laptops in a day!
Answers : 1. Max output = Production time per day-(Total time #1 to #8+Total time in #9)114 + 1
= 27.000-(843+310)114 + 1
= 27.000-1153114 + 1
= 25.847114 + 1
= 227 units
It shows that from the information given, the Toshiba could produce 227 units per day
2. For the first method we use the “overtime” solutions :
Max output = Production time per day-(Total time #1 to #8+Total time in #9)114 + 1 300 - 1 = Production time per day-(843+310)114 299 = Production time per day-1153114
299 x 114 = Production time per day -1153
34.086 + 1153 = Production time per day
35.239 = Production time per day
We need to add additional 2.5 hours to the original total of production time per day (7.5 hours), so the Production hour per day become 10 hours
And we get as follows :
Takt time (T) = Production time per