Consider a single-server queuing syatem. If the arrival rate is 40 units per hour, and each customer takes 40 seconds on average to be served, what is the average time in the system to include service (answer in minutes to 2 decimal places)
Expert Answer
Arrival rate (lambda) = 40 units per hour
In 40 seconds 1 customer is served. So in 1hour or 3600 seconds, (3600/40)=90 customers are served.
So service rate (mu) = 90 units per hour
Average number of customers in the system (Ls) = lambda/(mu-lambda) =40/(90-40) = 40/50 = 0.8
Average time in the system = Ls/lambda = 0.8/40
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