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Customers arrive to a thrift bank branch according to a Poisson distribution at a mean rate 50 customers per hour. The bank uses a single line, multiple-teller operations; and each person at the head of the line goes to the first available teller. A customer's transaction time at any windows averages 3 minutes and is exponentially distributed. The bank manager does not want a customer's average waiting time in the queue to be more than 2 minutes.

a- State the applicable queuing model.

b- What is the minimum number of tellers required for there to exist a steady state for this queuing system?

c- What is the minimum number of tellers required to meet the 2-minute criterion?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91000069

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