Question:

(a) (i) What do you understand by the term ‘queueing theory'? Give two real life examples to illustrate your answer.

(ii) Outline the five components involved in the classification of any queueing model.

(b) Discuss briefly each of the following customer's behavior with regard to queueing theory: balking, reneging and jockeying.

(c) A bank has tellers working on savings accounts. The first teller handles withdrawals while the second teller handles deposits only. The service time distributions for both deposits and withdrawals are exponentially distributed with mean service time 4 minutes per customer. Depositors are found to arrive in a Poisson fashion with mean arrival rate of 12 per hour. Withdrawers also arrive in a Poisson fashion with mean arrival rate of 9 per hour.

What could be the effect on the average waiting time for depositors and withdrawers if each teller handles both deposits and withdrawals?