Question: Question 11 A single server service station has facilities for a maximum of 4 customers. Once these these 4 places are filled newly arriving customers

Question 11 A single server service station has

Question 11 A single server service station has facilities for a maximum of 4 customers. Once these these 4 places are filled newly arriving customers do not wait. The arrival rate for units is 24 per hour and the arrival process is approximately Poisson. Service times are exponential with a mean of 3 minutes. (i) Draw the rate diagram that describes this process (ii) What are the steady-state probabilities for this process (iii) What is the averge time per in minutes per hour that the sever is idle? (iv) The average profit per customer is $80. What is the lost profit per hour due to the finite capacity?. (v) What is the average waiting time, before service, of an arrival

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