C2D001 Pages: 3

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High advertising

Suggest optimum strategies for the two firms and the net outcome thereof.
MODULE V

17. Customers arrive at a one-man barber shop according to a Poisson process with a mean inter
arrival time of 12 minutes. On the average, customers spend 10 minutes in the barber’s chair.
a. What is the expected number of customers in the shop?
b. What is the expected number of customers in the queue?
c. What is the probability of a customer walking directly to the barber’s chair without
waiting in the queue?
d. What is the average time customers spend in the queue?
e. What is the average time customers spend in the shop?
f. What is the probability that more than 3 customers are in the shop?
18. Patients arrive at a clinic according to a Poisson distribution at a rate of 30 patients per hour.
The waiting room does not accommodate more than 14 patients. The examination time for
a patient is exponentially distributed with a mean rate of 20 per hour.
a. What is the effective arrival rate of patients at the clinic?
b. What is the expected number of patients in the waiting hall?
c. What is the expected number of patients in the clinic?
d. What is the probability of a patient walking directly to the doctor’s room without
waiting?
What is the expected waiting time of a patient in the clinic?
What is the expected waiting time of a patient in the waiting hall?

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MODULE VI

19. a. What are the advantages of simulation?
b. What are the elements of simulation?

20. Customers arrive at a milk booth for the required service. Assume that the inter-arrival
service times are constant and given by 1.8 and 4 time units, respectively. Simulate the
system by hand computations for 14 time units.

a. What is the average waiting time per customer?
b. What is the percentage idle time of the facility? (Assume that the starts at = 0)

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