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Determine the average waiting time of a customer and idle time of the service facility.

Customers arrive at a service facility to get the required service. The inter-arrival and service times are constant and are 1.8 minutes and 4 minutes respectively. Simulate the system for 14 minutes. Determine the average waiting time of a customer and idle time of the service facility. -

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No. Arrival time Service start time Service end time Wait time of customer Idle time of server
1 0 0 4 0 0
2 1.8 4 8 2.2 0
3 3.6 8 12 4.4 0
4 5.4 12 16 6.6 0
5 7.2 16 20 8.8 0
6 9 20 24 11 0
7 10.8 24 28 13.2 0
8 12.6 28 32 15.4 0
9 14.4 32 36 17.6 0
10 16.2 36 40 19.2 0

Idle time of server = 0;

Average waiting time of customer $= (0+2.2+4.4+6.6+8.8+11+13.2+15.4+17.6+19.2)/10 \\ = 9.84 \text{minutes}$

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