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Altugs Coffee Shop decides to install an automatic coffee vending machine outside one of its stores to reduce the number of

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Answer #1

Answer a: average wait time in line= 0.15 hours that is 0.15*60=  9.00 mins

Explanation:

Queuing model
Serving time= 3.00 min
Lamba = arrival rate = 15.0 per hour
Mu = mean service rate = 60/serving time 20.0 per hour
Serving time= 1/Mu= 0.050 hours
Utilization = rho = lambda / mu = 0.750 75.0%
Average no. in queue:
Average no queue =Lq = (rho)2 / (1-rho)
Average no of customers waiting in line =Lq = 2.25 customers
Answer a: Average time spent in queue:
Wq = waiting time in the line for service = Lq / lambda = 0.15 hours

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