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Impact of variability on the capacity of a Production System

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Solution Summary

The impact of variability on the capacity of a production systems is examined.

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See the attached files. The workings are in Excel file. You can see the simulation output in "simulation_output" tab of Excel. The answers are explained in word file.

Impact of variability on the capacity of a Production System

Q1: Expected number of units produced = Minimum of (Expected number of units produced at Station "Joe", Expected number of units produced at Station "Next's", Expected number of units produced at Station "M2")
=Min (100/5, 100/5, 100/5) = Min (20, 20,20)=20

Q2: (See Simulation_Output tab on Excel file).

Time Output Joe Next M3
0 100 16 0.778 0.787 0.761
1 100 13 0.548 0.716 0.888
2 100 14 0.698 0.563 0.880
3 100 11 0.477 0.733 0.477
4 100 15 0.618 0.725 0.728
5 100 14 0.544 0.775 0.850
Average output = 13.833 Standard Deviation of Output = 1.722

The simulation results are different from our estimates as variability in the production process has resulted in idle time for the workstations ...

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