The customer arrival process for a given service is of Poisson Distribution with average arrival
rate being every 10 minutes. The duration of a service can be considered as a Negative
Exponential distribution with average value equal to 8 minutes. Knowing that the system
works with a single server and cannot receive more than 5 clients, determine:
i) The type of queue system associated with the problem stated, justifying the
characterization in detail.
ii) The average number of customers per hour prevented from entering
iii) The average length of the queue
iv) The average permanency time of a customer in the system and in the queue.
b) Assuming that the system works with 2 servers, which is the average number of customers
per hour barred from entering and what is the average queue length?